candidate_id string | paper_id string | title string | categories list | published string | figure_label string | caption string | question string | answer string | reasoning string | difficulty string | quality_flags list | image image |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
2608.12586:fig:edge-saturation:RHG_V13.tex | 2608.12586 | 2608.12586 | [] | fig:edge-saturation | Tensor-network finite-width $c_1 = 0$ consistency test. Left: $|J_edge|$ vs.\ $L_y$ for each $$; saturation onset correlates with $L_y _theory = v_F / $. Right: rescaled by $L_y/_theory$: the curves collapse onto a common saturation profile within the available widths. This is consistent with exponential finite-size sa... | Based on the data presented in the plots, what is the mathematical relationship between the pairing gap parameter $\Delta_{pg}$ and the theoretical coherence length $\xi_{theory}$? Use this relationship to explain why the edge current $|J_{edge}|$ for smaller gap values (such as $\Delta_{pg} = 0.2$ and $0.3$) fails to ... | From the legend in the right plot, the product of the pairing gap and the theoretical coherence length is constant: $\Delta_{pg} \times \xi_{theory} \approx 2.0$ (i.e., $\xi_{theory} \propto 1/\Delta_{pg}$).
For small gap values like $\Delta_{pg} = 0.2$, the coherence length is large ($\xi_{theory} = 10.0$). When the ... | The user must first identify the inverse relationship between $\Delta_{pg}$ and $\xi_{theory}$ from the legend (their product is consistently $\approx 2.0$). Then, using physical reasoning about edge-state hybridization in topological/superconducting cylinders, they must explain that when $L_y \lesssim \xi_{theory}$, t... | hard | [] | Not supported with pagination yet | |
2608.08492:fig:case:main.tex | 2608.08492 | 2608.08492 | [] | fig:case | Source-conditioned gold on p-type gallium nitride illustration. a, Wavelength-resolved Faradaic product partition digitized from public operando measurements performed at constant absorbed optical power. Blue, green, and orange traces denote carbon monoxide (CO), formate, and molecular hydrogen (H$_2$), respectively. T... | Based on the spectral reevaluation of the shared Au/p-GaN geometry in panel d, at what wavelength does the optical absorptance peak, and what is its approximate value? Describe the behavior of the formate net channel work at wavelengths above 750 nm, including its approximate value at 800 nm and the physical modeling r... | The optical absorptance peaks at 550 nm with an approximate value of 0.22 (or 22%). At wavelengths above 750 nm, the formate net channel work drops sharply into negative values, reaching approximately -35 mW m⁻² at 800 nm. This negative work at long wavelengths is a physical consequence of retaining the reciprocal reve... | By inspecting panel d, the grey curve representing absorptance (left axis) has its maximum at 550 nm with a value of ~0.22. The green curve representing formate net channel work (right axis) remains near 0 mW m⁻² until 750 nm, where it plummets to approximately -35 mW m⁻² at 800 nm. The caption explains that this negat... | hard | [] | Not supported with pagination yet | |
2608.13720:fig:low_align_snaps:main.tex | 2608.13720 | 2608.13720 | [] | fig:low_align_snaps | High $$ | Compare the downstream region ($x > 0$) of the obstacle in the two states with active flow, A0-T1-D0 and A0-T1-D1. Identify the prominent structural feature that is present in A0-T1-D0 but suppressed in A0-T1-D1, and explain the physical difference in the system's state (represented by the transition from D0 to D1) tha... | The prominent structural feature present in A0-T1-D0 but suppressed in A0-T1-D1 is a downstream void or wake (cavity) behind the obstacle.
The transition from D0 to D1 corresponds to an increase in the packing density (or volume/area fraction) of the membranes. At lower density (D0), the material behaves more like a ... | By visually inspecting the four panels, we can identify that 'D0' vs 'D1' corresponds to a change in density: the top-left panel (A0-T0-D0) shows a much lower density of rings with significant empty space compared to the top-right panel (A0-T0-D1), which is densely packed. In the active flow states (T1), the lower-dens... | hard | [] | Not supported with pagination yet | |
2608.13688:fig:HIMimage:APL_initial_submission.tex | 2608.13688 | 2608.13688 | [] | fig:HIMimage | HIM SE image of a suspended MoS2 flake on the lacey-carbon support, acquired in the transmission geometry. | In this Helium Ion Microscopy (HIM) secondary electron (SE) image acquired in transmission geometry, the lacey-carbon support grid is bright white in the vacuum background (outside the flake), but appears as a dark network underneath the MoS2 flake. Explain the physical mechanism responsible for this contrast reversal ... | In transmission geometry, the detected signal is primarily generated by transmitted helium ions (or secondary electrons produced by them at a conversion plate/exit surface below the sample).
1. **Outside the flake:** The bright white contrast of the carbon grid fibers is due to conventional top-surface/bulk SE genera... | The question requires the user to analyze the contrast reversal of the lacey-carbon grid inside versus outside the MoS2 flake boundary. By combining the visual evidence (bright grid outside, dark grid inside) with the knowledge of 'transmission geometry' in ion microscopy, the user must deduce that the transmission of ... | very_hard | [] | Not supported with pagination yet | |
2608.07638:fig:kinematics:main.tex | 2608.07638 | 2608.07638 | [] | fig:kinematics | Multiplicative decomposition of elastic and swelling deformation for a pre-swollen polyelectrolyte gel. | In the kinematic framework shown, the total deformation gradient mapping the hydrated reference state ($\Omega_0$) to the current deformed state ($\Omega$) is given by $\mathbf{F} = (\phi_0^p)^{1/3} \mathbf{F}^e \mathbf{F}^s$. Based on the diagram's pathways, what is the physical meaning of the scalar parameter $\phi_0... | The parameter $\phi_0^p$ represents the polymer volume fraction in the hydrated reference state ($\Omega_0$).
Assuming isotropic swelling/shrinkage between the dry state ($\Omega_D$) and the hydrated reference state ($\Omega_0$), the deformation gradient $\mathbf{F}^d$ mapping $\Omega_D \to \Omega_0$ is given by $\ma... | By tracing the pathways in the kinematic diagram, the mapping from the dry state $\Omega_D$ to the current state $\Omega$ is $\mathbf{F}' = \mathbf{F}^e \mathbf{F}^s$. The mapping from the hydrated reference state $\Omega_0$ to the current state $\Omega$ is $\mathbf{F} = (\phi_0^p)^{1/3} \mathbf{F}^e \mathbf{F}^s$. Sin... | very_hard | [] | Not supported with pagination yet | |
2608.12586:fig:gap-phase:RHG_V13.tex | 2608.12586 | 2608.12586 | [] | fig:gap-phase | Momentum-space tomography made explicit. Gap phase $(k)$ for the annular finite-vortex model (colour map) with the annular Fermi sheets overlaid as contours ($_ann = 0$, solid lines). Crosses mark the three gap zeros: the central vortex at $k = 0$, which lies in the inner hole and is excluded, and the two finite-moment... | Based on the provided momentum-space map, identify the approximate $k_x$ coordinates of the three marked gap zeros (crosses). Which of these zeros are located within the annular region defined by the two concentric Fermi sheets, and what is the resulting total occupied-vortex charge $Q$ enclosed by this active region? | The three marked gap zeros (crosses) are located at $k_x \approx 0$ (the central vortex) and $k_x \approx \pm 0.9$ (the two finite-momentum vortices) along the $k_y = 0$ line.
The concentric Fermi sheets (solid dark circles) have radii of approximately $r_{\text{inner}} \approx 0.45$ and $r_{\text{outer}} \approx 1.45... | By visually inspecting the $k_x$ axis, the three blue crosses representing the gap zeros are positioned at $k_x = 0$, $k_x \approx -0.9$, and $k_x \approx 0.9$ along $k_y = 0$. The inner Fermi contour circle has a radius of approximately $0.45$, enclosing the central vortex at $0$. The outer Fermi contour circle has a ... | hard | [] | Not supported with pagination yet | |
2608.16414:fig:Fig4:arXiv_manuscript.tex | 2608.16414 | 2608.16414 | [] | fig:Fig4 | Field-current symmetry map of Josephson interference. (a) Field-current symmetry map constructed from the supercurrent interference patterns. The two in-plane-field components define continuous field coordinates, whereas $I^+$ and $I^-$ form two discrete current sectors. The configurations at $=90^$ and $270^$ define $... | Based on the visual mapping of the asymmetric features (indicated by the dashed arrows) in the interference patterns of Figure 4(c), what are the transformation rules for the out-of-plane magnetic field $B_z$ under the generalized $\mathcal{T}$ and $\mathcal{P}$ symmetry operations shown? | Under the generalized $\mathcal{T}$ symmetry operation, $B_z \rightarrow -B_z$ (reverses sign), while under the $\mathcal{P}$ symmetry operation, $B_z \rightarrow B_z$ (remains invariant). | By inspecting the dashed arrows in Figure 4(c):
1. The blue dashed arrow representing the generalized $\mathcal{T}$ symmetry connects an asymmetric side lobe at a negative field value ($B_z \approx -1\text{ mT}$) in the top panel ($I > 0, \theta = 0^\circ$) to a corresponding side lobe at a positive field value ($B_z \... | hard | [] | Not supported with pagination yet | |
2608.18393:fig:angldist:260818main_bbl.tex | 2608.18393 | 2608.18393 | [] | fig:angldist | Angular distributions of fragment ions produced by the two-body Coulomb explosion of acetonitrile (CH3CN). (a,b) Phase-averaged distributions of (a) the CH3^+ fragment from the 0HM pathway, and (b) the CH2^+ fragment of the 1HM pathway, both with $E_KER 4.5$ eV. (c,d) The corresponding angular distributions recorded at... | Compare the minimum yield values near $\theta_s = \pi/2$ and $3\pi/2$ between the 0HM pathway (panels a, c) and the 1HM pathway (panels b, d). What physical mechanism explains why the 1HM pathway exhibits a significantly higher minimum yield (lower anisotropy) compared to the 0HM pathway? | The 0HM pathway represents direct C-C bond cleavage without hydrogen migration, where the fragmentation occurs rapidly along the initial molecular alignment axis, resulting in highly anisotropic angular distributions with yields dropping close to zero at $\theta_s = \pi/2$ and $3\pi/2$. In contrast, the 1HM pathway inv... | By visually inspecting the plots, the minimum yield for 0HM (panels a and c) at $\pi/2$ and $3\pi/2$ is nearly 0, whereas for 1HM (panels b and d) it is noticeably higher (around 0.25-0.3). This difference in anisotropy is a classic signature in molecular dynamics / Coulomb explosion imaging: hydrogen migration (1HM) r... | very_hard | [] | Not supported with pagination yet | |
2608.17825:fig:regime_map:template.tex | 2608.17825 | 2608.17825 | [] | fig:regime_map | Distribution of the dataset over the atomisation-regime map, spanned by the aerodynamic Weber number $_a$ and the liquid Reynolds number $$~. Training conditions ($$, circles) tile the interior of the map, covering the membrane, fibre, and superpulsating regimes, while the extrapolation conditions ($$, squares) lie alo... | Based on the atomisation-regime map, which two distinct physical atomisation regimes do the extrapolation test conditions ($D_{\text{test}}$, represented by the orange squares) span as the liquid Reynolds number ($Re_\ell$) decreases from its maximum to its minimum value? | Fibre type and Superpulsating regimes | By visually inspecting the distribution of the orange squares ($D_{\text{test}}$) along the high-$We_a$ boundary:
1. At high liquid Reynolds numbers ($Re_\ell \gtrsim 1.2 \times 10^3$), the test points lie above the diagonal boundary line and to the right of the near-vertical boundary, placing them in the 'Fibre type' ... | hard | [] | Not supported with pagination yet | |
2608.16418:fig:img3:neurips_2026.tex | 2608.16418 | 2608.16418 | [] | fig:img3 | Identify the two distinct molecular species floating in the vacuum above the catalyst slab by their constituent elements (using standard CPK coloring). Explain why the presence of these two separate, non-interacting adsorbate fragments in the vacuum indicates an unphysical simulation state for a standard single-adsorba... | The two floating species are a hydroxyl group (OH, represented by the red oxygen and white hydrogen atoms) and a nitrogen-containing organic fragment (likely a methyl-diazo/diazene species, containing blue nitrogen, grey carbon, and white hydrogen atoms).
In standard single-adsorbate DFT relaxation pipelines (such as... | The question requires the user to first visually identify the chemical species using standard CPK color conventions (Red = Oxygen, White = Hydrogen, Blue = Nitrogen, Grey = Carbon) to find the OH and organic nitrogen-containing fragments. Then, the user must apply materials science domain knowledge regarding high-throu... | hard | [] | Not supported with pagination yet | ||
2608.19079:fig:InactiveVsactiveNodes:main.tex | 2608.19079 | Ultrasonic attenuation in inhomogeneous superconductors | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2026-08-19T16:29:51Z | fig:InactiveVsactiveNodes | The low temperature characteristics of $d_x^2 - y^2$ for L100 mode for a different Fermi surface ($n=0.6$), with zeros of the electron–phonon matrix element $F(k,q)$, not lying along the nodal lines. | Based on the log-log plot and the given linear fit equation, what is the power-law exponent $p$ that characterizes the low-temperature dependence of the normalized ultrasonic attenuation ($\alpha_s/\alpha_n \propto T^p$)? Briefly explain how the geometric configuration in the inset (showing the Fermi surface, gap nodes... | The power-law exponent is $p = 1.10$. This is obtained by rewriting the fit equation $\log(\alpha_s/\alpha_n) = -1.10\log\beta + 0.7$ in terms of temperature $T$ (since $\beta = 1/k_B T$), yielding $\log(\alpha_s/\alpha_n) = 1.10\log T + 0.7$, or $\alpha_s/\alpha_n \propto T^{1.10}$.
This near-linear temperature depe... | The user must first identify the relationship between $\beta$ (inverse temperature) and $T$ to extract the exponent $p = 1.10$ from the slope of the log-log plot. Then, using materials physics knowledge of d-wave superconductors, they must explain that a linear ($T^1$) or near-linear ($T^{1.10}$) dependence in ultrason... | very_hard | [] | Not supported with pagination yet |
2608.07238:fig:fig7:main.tex | 2608.07238 | 2608.07238 | [] | fig:fig7 | (a)(b) Leading-order vertex contribution $(1/T_1T)^vc$ with respect to the BKT correlation length $$. We have set $E_F=2$, $_0/E_F=1/4$, $_0=5$, and $v_F=2$. The magnetic pseudogap scale $(T_mPG)$ (in red) as well as the varying $_BCS/$ (from purple to grey) are indicated on the axis for reference. (c) Derivatives of $... | Based on the plots in panels (a) and (b), contrast the magnitude of the leading-order vertex contribution $(1/T_1T)^{vc}$ in the long correlation length limit ($\log(\pi\xi_{BCS}/\xi) < 0$) between the $s$-wave and $d$-wave systems, and explain the underlying physical reason for this difference in the context of superc... | In the $s$-wave system (a), $(1/T_1T)^{vc}$ increases dramatically (reaching values up to $\sim 0.125$) as the correlation length $\xi$ grows (moving to negative values on the horizontal axis). In contrast, for the $d$-wave system (b), $(1/T_1T)^{vc}$ is heavily suppressed and remains extremely close to zero across the... | The question requires comparing the visual data in panels (a) and (b) (noting the scale of the y-axis and the behavior at negative x-axis values) and applying core superconductivity theory (the sign-changing nature of $d$-wave vs. $s$-wave order parameters and its effect on momentum-space integrations of vertex correct... | very_hard | [] | Not supported with pagination yet | |
2608.12787:fig:decorrelation:SI.tex | 2608.12787 | 2608.12787 | [] | fig:decorrelation | The distribution of a single adsorbate over the 8 degenerate hollow sites on an c$(22)$) Cu(100) surface. The x-axis shows the lattice sites sorted by their probability (y-axis). The dashed black line shows the ideal "equal" distribution while the colored lines show the distribution extracted from two nested sampling s... | Based on the probability distributions across the 8 degenerate hollow sites, compare the performance of the GMC-only and GMC+Lattice schemes as temperature decreases from 2000 K to 100 K. What physical/algorithmic limitation explains why the GMC-only distribution increasingly deviates from the ideal 12.5% line at lower... | As temperature decreases, the GMC-only scheme (blue line) increasingly deviates from the ideal 12.5% uniform distribution, with the probability of the most-visited site rising to ~30% and the least-visited dropping to ~0% at 100 K. In contrast, the GMC+Lattice scheme (orange line) remains close to the ideal distributio... | The question requires the user to visually inspect the four panels (2000 K, 1000 K, 500 K, 100 K) and identify the trend: GMC-only degrades severely at low temperatures (highly non-uniform distribution among degenerate sites), whereas GMC+Lattice remains robust. The user must then apply materials science and statistica... | hard | [] | Not supported with pagination yet | |
2608.11421:fig:manuscript.tex | 2608.11421 | 2608.11421 | [] | fig | Based on the cost-quality comparison plot for the 50-step FANPT calculations, compare the performance of final order 2 (qao=2) against final order 3 (qao=3). Estimate the approximate factor of reduction in the mean same-$\lambda$ Frobenius norm and the approximate factor of increase in the mean total FANPT computationa... | At 50 steps:
1. **Reduction in Frobenius norm**: The mean same-$\lambda$ Frobenius norm decreases from approximately $50$ (for qao=2) to approximately $0.3$ (for qao=3), representing a reduction factor of roughly $150$ to $200$ times.
2. **Increase in computational time**: The mean total FANPT time increases from appro... | By visually inspecting the data points labeled '50' on both curves:
- For qao=2 (blue circle, dashed line): The y-value (Frobenius norm) is at approximately 50, and the x-value (FANPT time) is at approximately $4 \times 10^2\text{ s}$.
- For qao=3 (orange square, solid line): The y-value is at approximately 0.3, and th... | hard | [] | Not supported with pagination yet | ||
2608.13761:fig:ac_ah_low_4_side_5e-1:main-content.tex | 2608.13761 | 2608.13761 | [] | fig:ac_ah_low_4_side_5e-1 | Snapshots of deposition processes on a substrate (light green) for different particle-particle interactions, characterized by the adhesion parameter a)-e) $=0.02$ , f)-j) $=0.2$ and k)-o) $=10.0$. The solvent is represented by the red color. | Based on the spatial distribution of the particles throughout the vertical height of the domain shown in this snapshot, what physical mechanism prevents these particles from fully sedimenting into a compact layer on the substrate at the bottom? | The lack of significant compaction and the uniform, space-filling distribution of particles across the height of the domain is caused by strong particle-particle adhesion. This high adhesion parameter leads to immediate aggregation upon contact, forming a rigid, percolated gel network (or fractal-like structure) that a... | Visual inspection of the image shows that despite being a deposition process on a substrate (at the bottom), the particles remain suspended and distributed throughout the entire vertical volume. In colloid and polymer science, when particle-particle adhesion is high (as indicated by the larger adhesion parameters in th... | hard | [] | Not supported with pagination yet | |
2608.19057:fig_appen2 | 2608.19057 | Distinct Modes of Quantum Information Transfer in Power-Law Long-Range Spin Networks | [
"quant-ph",
"cond-mat.other",
"physics.comp-ph"
] | 2026-08-19T15:54:46Z | fig_appen2 | Initial-state localization, transfer-return dynamics, $|f_1^N(t)|^2$ and $|f_1^1(t)|^2$ respectively (Equation~wavetran), and the site-basis amplitudes of the high-energy participatory eigenstates for $= 1$, shown for $N = 100$ (left column) and $N = 151$ (right column). | Based on the provided plot of eigenvalue $\omega_k$ (blue filled circles) and the projection $|v_{1k}|^2$ (open circles) onto the first site as a function of the mode index $k$, at which mode index $k$ does the projection $|v_{1k}|^2$ first exceed 0.5? What does the concentration of high $|v_{1k}|^2$ values at the high... | The projection $|v_{1k}|^2$ first exceeds 0.5 at mode index $k = 97$ (where it reaches approximately 0.8). The concentration of high $|v_{1k}|^2$ values at the highest mode indices ($k \ge 95$) physically implies that the high-energy eigenstates are strongly localized at the boundary (site 1) of the spin network, meani... | By visually inspecting the right y-axis ($|v_{1k}|^2$, represented by open circles) against the x-axis (mode index $k$): for $k < 95$, the values are nearly zero. At $k = 96$, the value is ~0.2. At $k = 97$, the open circle jumps to ~0.8, which is the first index to exceed 0.5. Physically, $|v_{1k}|^2$ represents the p... | hard | [] | Not supported with pagination yet |
2608.19079:fig:epc_comparison | 2608.19079 | Ultrasonic attenuation in inhomogeneous superconductors | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2026-08-19T16:29:51Z | fig:epc_comparison | Comparison of the ultrasonic attenuation for the magnetic bound state (MBS) case. (a) The tight-binding Hamiltonian is restricted to next-nearest-neighbor hopping, for which no distinct attenuation hump is observed because the short-range electron--phonon interaction does not couple sites across the grain boundary. (b)... | Based on the plots in panels (a) and (b), identify the approximate frequencies (\(\omega_q\)) where the electronic response function \(\chi_q\) (blue curves) peaks. Describe how the corresponding normalized ultrasonic attenuation ratio \(\alpha_s / \alpha_n\) (red curves) behaves at these peak frequencies in each panel... | In panel (a), the peak of \(\chi_q\) occurs at \(\omega_q \approx 0.017\). At this frequency, the attenuation ratio \(\alpha_s / \alpha_n\) shows no distinct feature, rising monotonically. In panel (b), the peak of \(\chi_q\) shifts to \(\omega_q \approx 0.033\), where a corresponding hump/plateau structure is visible ... | The question requires reading the peak positions of the blue curves (\(\chi_q\)) from the x-axis of both plots (approx. 0.017 for a, and 0.033 for b) and observing the corresponding behavior of the red curves (smooth rise in a vs. a hump/plateau in b). The explanation connects these observations to the microscopic tigh... | hard | [] | Not supported with pagination yet |
2608.19178:fig:ED_Sqw:main.tex | 2608.19178 | Chiral bosonic mean-field Ansatz and spin dynamics in spin-1 Kitaev magnets | [
"cond-mat.str-el"
] | 2026-08-19T17:54:08Z | fig:ED_Sqw | Exact-diagonalization spectra of the antiferromagnetic $S=1$ Kitaev-$$-$^$ model on an $N=12$ cluster. The three panels show results on the line $=^$ for (a) $=^=-0.025$, (b) $0$, and (c) $0.025$, with energies measured in units of $|K|$. The broadening is $=0.01$, and the same absolute vertical scale is used in all th... | Analyze the evolution of the dominant low-energy peak of the green curve (corresponding to the $\Gamma'$ momentum) across the three panels as the off-diagonal exchange parameter $\Gamma = \Gamma'$ varies from $-0.025$ to $0$ and then to $0.025$. Describe the trend in its peak position (energy $\omega/|K|$) and explain ... | As $\Gamma = \Gamma'$ increases from $-0.025$ (a) to $0$ (b) and then to $0.025$ (c), the dominant low-energy peak of the $\Gamma'$ momentum (green curve) behaves non-monotonically: it is located at $\omega/|K| \approx 0.20$ in (a), shifts upward to $\omega/|K| \approx 0.28$ in the pure Kitaev limit (b), and then drama... | By visually inspecting the green curve (labeled $\Gamma'$ in the legend) across panels (a), (b), and (c), we identify the position of its sharpest, highest-intensity low-energy peak. In (a) it is at $\omega/|K| \approx 0.20$, in (b) it is at $\omega/|K| \approx 0.28$, and in (c) it is at $\omega/|K| \approx 0.08$. This... | hard | [] | Not supported with pagination yet |
2608.16719:fig2:main.tex | 2608.16719 | 2608.16719 | [] | fig2 | Energy spectrum, mobility edges (MEs), and mobility rings (MRs) for the $= 2$ case. (a) Wavefunction fractal dimension $$ as a function of the quasiperiodic potential strength $V$ and real eigenvalues $E$ in the Hermitian limit ($= 0$). The red dashed lines denote the critical ME boundary $|E_c| = 1/V$, which separatin... | Based on the provided NMR spin-lattice relaxation rate curves in panels (a) and (b), describe the physical mechanism that explains why a distinct non-monotonic peak-and-dip feature is observed in the s-wave pseudogap (PG) region near $T/T_c \approx 1.05$ but is entirely absent in the d-wave counterpart. | The non-monotonic peak-and-dip feature in the s-wave case is driven by the isotropic nature of the s-wave pairing gap, which leads to a sharp pile-up in the density of states (DOS) near the gap edge as pairing correlation/coherence develops (precursor pairing in the pseudogap regime). This coherence effect enhances the... | The question requires the user to visually compare the $1/T_1T$ curves in panels (a) and (b) and relate the presence/absence of the peak-dip structure to the underlying gap symmetry (s-wave vs. d-wave). By inspecting panel (d), the user can identify the nodal structure (Fermi arcs) characteristic of d-wave symmetry, wh... | hard | [] | Not supported with pagination yet | |
2608.19053:fig:ele_mobility | 2608.19053 | Ab initio-based Deep-Learning Prediction of Carrier Mobility in Strongly Anharmonic Materials | [
"cond-mat.mtrl-sci"
] | 2026-08-19T15:49:01Z | fig:ele_mobility | Supercell size dependent electron mobility at 300\,K of KI. N is the supercell linear dimension. The red circles represent the calculated mobility values for different supercell sizes, 54 atoms: $333$, 128 atoms: $444$, 250 atoms: $555$, 432 atoms: $666$. The dashed curve is an empirical extrapolation fitted to the dat... | Based on the extrapolation shown in the figure, what is the approximate order of magnitude of the electron mobility of KI at 300 K in the thermodynamic (infinite supercell) limit (1/N → 0)? Explain the physical origin of the severe underestimation of mobility (by over nine orders of magnitude) as the supercell size dec... | In the thermodynamic limit (1/N → 0), the extrapolated electron mobility is approximately 10^3 cm²/Vs (or between 10^3 and 2×10^3 cm²/Vs), as seen where the dashed curve intercepts the y-axis.
The drastic decrease in calculated mobility at small supercell sizes (large 1/N, such as N = 3) is primarily due to severe fi... | By visually inspecting the y-intercept (1/N = 0) of the dashed extrapolation curve, the value lies about half a decade above 10^2 on a logarithmic scale, corresponding to approximately 10^3 cm²/Vs. The physical explanation requires connecting the supercell size (N) to finite-size effects in ab initio carrier mobility c... | very_hard | [] | Not supported with pagination yet |
2608.19054:fig:rate_maps | 2608.19054 | Transversality Locks Longitudinal Gradients in Structured-Light Quadrupole Transitions | [
"physics.optics",
"physics.atom-ph"
] | 2026-08-19T15:50:07Z | fig:rate_maps | Spatial distributions of the channel-resolved squared optical amplitudes in the beam-waist plane $z=0$ for $p=0$ and $w_0=$. The rows show $|T^(2)_0|^2$, $|T^(2)_+1|^2$, and $|T^(2)_+2|^2$, respectively. Under Eq.~eq:A_transition_def, these optical components sample molecular transitions $m=0,-1,-2$. Each row is normal... | Based on the spatial distribution maps, compare the excitation channels $q = +1$ and $q = +2$ for beams with spin angular momentum $\sigma = 1$ versus $\sigma = -1$. What striking difference is observed, and what does this imply about the coupling of spin helicity to these specific quadrupole transition channels? | For all beams with spin angular momentum $\sigma = 1$ (columns 1, 3, and 5), the channel-resolved squared optical amplitudes for both $q = +1$ and $q = +2$ are completely suppressed (identically zero), regardless of the orbital angular momentum $\ell$. In contrast, for $\sigma = -1$ (columns 2, 4, and 6), these channel... | By visually inspecting the columns corresponding to $\sigma = 1$ (columns 1, 3, and 5) and comparing them to $\sigma = -1$ (columns 2, 4, and 6) across the rows $q = +1$ and $q = +2$, we observe that the $\sigma = 1$ columns are completely dark (zero intensity). This indicates a total suppression of these quadrupole tr... | hard | [] | Not supported with pagination yet |
2608.12878:fig:magnon:supplement.tex | 2608.12878 | 2608.12878 | [] | fig:magnon | Linear spin-wave dispersion of the reconstructed slab along $$--$M$--$K$--$$ of the $11$ surface Brillouin zone, from the spin-cluster expansion fitted to constrained noncollinear calculations. The dashed line is the measured top of the bulk magnon band, $36$~meV~. | Based on the spin-wave dispersion plot, estimate the energy difference (in meV) between the peak of the highest calculated magnon branch and the experimentally observed bulk band top. What physical implication does this difference have regarding the magnetic exchange coupling at the reconstructed surface compared to th... | The peak of the highest calculated magnon branch is at approximately 62 meV (accepting 61–63 meV), and the experimentally observed bulk band top is at 36 meV, yielding an energy difference of approximately 26 meV (accepting 25–27 meV). Physically, because the magnon energy scale is directly proportional to the strength... | By visually inspecting the y-axis ($\hbar\omega$), the highest calculated dispersion curve peaks slightly above 60 meV, around 62 meV. The dashed orange line representing the experimentally observed band top is at 36 meV. Subtracting these gives ~26 meV. In spin-wave theory, the magnon frequency/energy scale is determi... | hard | [] | Not supported with pagination yet | |
2608.17777:fig:fig5:Main_2026_arxiv.tex | 2608.17777 | 2608.17777 | [] | fig:fig5 | Linear calibration procedure for low-frequency elastocaloric data. (a) Linear correlation between the elastocaloric signals measured at high frequency (613~Hz) and low frequency (10~Hz), shown for $T=2.0$~K and $4.0$~K; dashed lines indicate linear fits. (b) Residual map, $B$, as a function of temperature and strain. (... | In the residual maps shown in (b) and (c), a prominent lambda-like ($\Lambda$-like) feature of anomalous residual values ($B$ and $B_F$) is observed. Identify the approximate temperature and strain coordinates of the apex of this feature, and explain the physical origin of why such a localized feature appears as a stru... | The apex of the lambda-like feature is located at approximately $T \approx 3.5\text{ K}$ and $\varepsilon \approx -0.4\%$.
This structured residual arises because the linear calibration assumes a constant scaling relation between the low-frequency (partially non-adiabatic) and high-frequency (nearly adiabatic) elastoc... | By visually inspecting panels (b) and (c), the apex of the inverted V-shape (lambda-like feature) can be traced to $T \approx 3.5\text{ K}$ and $\varepsilon \approx -0.4\%$. From a materials physics perspective, elastocaloric measurements probe entropy changes under strain. A linear calibration between different freque... | very_hard | [] | Not supported with pagination yet | |
2608.19041:si:fig-v100-comparison-detail | 2608.19041 | Universal Machine-learning Molecular Dynamics at the Speed of Empirical Potentials | [
"physics.chem-ph",
"cond-mat.mtrl-sci",
"physics.comp-ph"
] | 2026-08-19T15:34:40Z | si:fig-v100-comparison-detail | Detailed DPA4C and DPA4-Mini scaling on 16-GB NVIDIA Tesla V100-SXM2 GPUs. a, DPA4-Mini strong-scaling efficiency at a fixed 8,000 atoms; region labels and vertical lines mark the four-GPU NVLink group, the remainder of the single node and the two-node allocation at 32 GPUs. b, Individual DPA4C and DPA4-Mini weak-scali... | Based on the weak-scaling efficiency curves in Figure b, to what approximate percentage does the efficiency of DPA4-Mini drop when transitioning from 1 to 2 GPUs? Explain the computational reason for this sudden drop and why the DPA4C models (Nano through Plus) do not exhibit a similar drastic drop. | The weak-scaling efficiency of DPA4-Mini drops sharply to approximately 77% when transitioning from 1 to 2 GPUs. This sudden drop is due to the extremely small workload size allocated per GPU for DPA4-Mini (5,832 atoms per GPU, as noted in the caption). At this small scale, the overhead of inter-GPU communication (even... | The question requires reading the specific data point for DPA4-Mini at 2 GPUs in Figure b (~77%) and integrating this visual observation with the workload sizes mentioned in the caption (5,832 atoms vs. 2,000,376 atoms per GPU) to explain the scaling behavior using parallel computing principles (communication-to-comput... | hard | [] | Not supported with pagination yet |
2608.19178:fig:Gamma_DSSF:main.tex | 2608.19178 | Chiral bosonic mean-field Ansatz and spin dynamics in spin-1 Kitaev magnets | [
"cond-mat.str-el"
] | 2026-08-19T17:54:08Z | fig:Gamma_DSSF | Ground-state spin dynamics of the $S=1$ Kitaev-$$-$^$ model calculated within SBMFT using the $/2$-flux Ansatz for $K>0$. The upper row shows the dynamical spin structure factor $S(q,)$ along the momentum path for (a) $=^=-0.025$, (b) $0$, and (c) $0.025$, in units of $|K|$. Panels (d)--(f) show the corresponding energ... | Based on the energy-dependent dynamical spin structure factor $S(\mathbf{q}, \omega)$ shown in panels (d)–(f), how does the spectral weight of the lowest-energy excitation peak (around $\omega/|K| \approx 0.15$) redistribute between the $M$ point (red curve) and the $\Gamma'$ point (green curve) when the symmetric off-... | When the off-diagonal exchange coupling $\Gamma = \Gamma'$ is tuned away from zero (panel e) to either positive (panel f) or negative (panel d) values, the spectral weight of the lowest-energy excitation peak (around $\omega/|K| \approx 0.15$) transfers from the $M$ point to the $\Gamma'$ point. Specifically, at $\Gamm... | By visually inspecting the line cuts in panels (d), (e), and (f) at the lowest energy peak position ($\omega/|K| \approx 0.15$), we compare the peak heights of the red curve ($M$ point) and the green curve ($\Gamma'$ point). In panel (e) where $\Gamma = \Gamma' = 0$, the red peak is at its highest level (~65) and the g... | hard | [] | Not supported with pagination yet |
2608.19057:fig_4 | 2608.19057 | Distinct Modes of Quantum Information Transfer in Power-Law Long-Range Spin Networks | [
"quant-ph",
"cond-mat.other",
"physics.comp-ph"
] | 2026-08-19T15:54:46Z | fig_4 | Distinct transfer dynamics associated with optimized chains for the selected sequences of $$ values (left column), alongside the localization of the initial-state distribution in $k$-space over the ordered spectrum (right column) of the corresponding varied-$$, $N=100$-site chain. | Based on the quantum state transfer dynamics shown in the figure, what physical mechanism explains why the probability density $|\psi_i(t)|^2$ at $t \cdot J_0 \approx 6$ is highly localized at the boundary site $i=100$ with virtually zero leakage to the adjacent site $i=99$ (as highlighted in the inset)? | This behavior is mediated by highly localized boundary (or edge) states. By optimizing the coupling strengths in the long-range spin network, the system isolates the end sites from the bulk. This allows high-fidelity quantum information transfer to occur directly between the boundaries (site 1 and site 100) via these l... | Visual inspection of the inset shows that at the transfer time $t \cdot J_0 \approx 6$, the probability density is concentrated almost entirely on site 100 ($|\psi_{100}|^2 \approx 1.0$) while site 99 remains dark ($|\psi_{99}|^2 \approx 0.0$). In spin-chain quantum state transfer, this extreme spatial localization at ... | hard | [] | Not supported with pagination yet |
2608.14476:fig:mechanism:main.tex | 2608.14476 | 2608.14476 | [] | fig:mechanism | Why two fixed determinants suffice in $H^2$ for $d=3$. The background shade intensity represents $||$ for a generic smooth target in a two-dimensional slice of configuration space. (a) A single complex determinant $D_1^(3)$ has an off-collision nodal set of codimension two on which a generic $H^2$ does not vanish, so t... | In the context of constructing regular many-body wavefunctions in $H^2$ for $d=3$, what geometric property of the intersection of the nodal sets $\mathcal{N}_1^{(3)}$ and \(\mathcal{N}_2^{(3)}\) in panel (b) allows the common zero to be deleted at vanishing $H^2$ cost, and how does this contrast with the single nodal s... | In panel (b), the intersection of the two nodal sets $\mathcal{N}_1^{(3)}$ and $\mathcal{N}_2^{(3)}$ consists of a codimension-three collision nodal surface and a codimension-four set (represented visually as the isolated point/common zero). Because these intersection sets have a codimension of 3 or higher, they have z... | The question requires the user to analyze the visual representation of the nodal sets (lines in a 2D slice representing codimension-two manifolds) and their intersection (a point representing higher codimension sets). By combining the visual cues (the line in (a) vs. the intersection point in (b)) with the mathematical... | very_hard | [] | Not supported with pagination yet | |
2608.12878:fig:fsbz:supplement.tex | 2608.12878 | 2608.12878 | [] | fig:fsbz | Constant-energy contours of the two one-face-passivated slabs over the full surface Brillouin zone (gray hexagon), one row per magnetic state: reconstructed above, bulk-continued A-type below, at $-_F=0$, $-0.1$, $-0.2$~eV. | Compare the rotational symmetry of the constant-energy contours centered at the $\Gamma$ point ($k_x = k_y = 0$) at the Fermi level ($\varepsilon - \varepsilon_F = 0.0$ eV) between the reconstructed state (top row) and the bulk-continued A-type state (bottom row). What are their respective rotational symmetries, and wh... | At the Fermi level ($\varepsilon - \varepsilon_F = 0.0$ eV), the central contours around the $\Gamma$ point exhibit threefold ($C_3$) rotational symmetry for the reconstructed state (top left), characterized by triangular distortions and alternating lobe shapes. In contrast, the bulk-continued A-type state (bottom left... | By visually inspecting the central contours around $k_x = k_y = 0$ at $0.0$ eV, the red contours (reconstructed) show a clear triangular/threefold modulation (alternating lobe sizes and orientations), indicating $C_3$ symmetry. The blue contours (A-type) show a highly symmetric hexagonal/sixfold pattern, indicating $C_... | hard | [] | Not supported with pagination yet | |
2608.17061:fig:concept:manuscript_NML.tex | 2608.17061 | 2608.17061 | [] | fig:concept | The phenomenon and the puzzle. (a) Normal emissivity versus areal mass density for four diameters; open symbols are the data of Zheng et~al.~ and solid lines the model with one global parameter set, thinner wires dropping faster as predicted by $gD^2$. (b) The puzzle: emissivity versus sheet resistance follows a $R_s$ ... | Based on the data in panel (b), estimate the quantitative difference in normal emissivity ($\epsilon_n$) at a sheet resistance of $60\ \Omega/\text{sq}$ between the nanowire network (experimental/model points) and a uniform conductor film. What structural difference explains why the nanowire network maintains such a hi... | At $R_s = 60\ \Omega/\text{sq}$, the normal emissivity of the nanowire network is approximately $0.76 - 0.80$, while the uniform conductor film has an emissivity of approximately $0.38 - 0.40$, yielding a difference of about $0.36 - 0.42$.
This discrepancy arises because a uniform film at this sheet resistance is a co... | By visually inspecting panel (b) at $R_s = 60\ \Omega/\text{sq}$, the solid black curve representing the uniform conductor film is at $\epsilon_n \approx 0.38 - 0.40$. The data points (circles and crosses) representing the nanowire network lie between $0.76$ and $0.80$. Subtracting these values gives a difference of ap... | hard | [
"relevance_to_image",
"science_domain_knowledge"
] | Not supported with pagination yet | |
2608.18393:fig:mommaps:260818main_bbl.tex | 2608.18393 | 2608.18393 | [] | fig:mommaps | Coincidence momentum images of (a) CH3+, (b) CH2+, (c) CH+, (d) CD3+, (e) CD2+, (f) CD+ produced through the 0HM, 1HM, 2HM, 0DM, 1DM and 2DM Coulomb explosion pathways, respectively, sliced on the $p_Y-p_X$ momentum plane ($|p_Z| 10$ a.u.). The arrows indicate the polarization directions of $$-2$$ laser fields. The ang... | Observe the yield intensity distribution along the $p_x$ axis (parallel to the laser polarization direction) across the three columns: (a, d) $\text{CH}_3^+/\text{CD}_3^+$, (b, e) $\text{CH}_2^+/\text{CD}_2^+$, and (c, f) $\text{CH}^+/\text{CD}^+$. Which column exhibits the most pronounced up-down ($Y_+$ vs. $Y_-$) int... | The first column, corresponding to $\text{CH}_3^+$ (a) and $\text{CD}_3^+$ (d), exhibits the most pronounced up-down asymmetry. The maximum yield for this column is concentrated in the $p_x < 0$ ($Y_-$) hemisphere (at the bottom of the momentum rings). | By visually inspecting the intensity (color scale representing yield from 0.0 to 0.6) along the vertical $p_x$ axis:
1. In panels (a) and (d) (first column), there is a stark contrast between the top ($Y_+$, $p_x > 0$) and bottom ($Y_-$, $p_x < 0$) of the rings. The bottom region shows a bright yellow-green peak (high ... | hard | [] | Not supported with pagination yet | |
2608.17968:fig:fig2:SC_HG.tex | 2608.17968 | 2608.17968 | [] | fig:fig2 | Distributions of final cooperation ratio $_C$ near the transition region for (a) $=0.5$ and (b) $=2$. For $=0.5$, both representations produce single-peaked distributions centered at intermediate cooperation levels, although the SC distribution is broader. For $=2$, the HG exhibits a strongly bimodal distribution, indi... | Based on the temperature dependence of the normalized NMR relaxation rate in (a) and (b), the peak at $T_{\text{coh}}$ is the Hebel-Slichter coherence peak. Explain why this peak is absent in the $d$-wave case (b) in terms of gap symmetry and coherence factors. Additionally, describe how the evolution of the Fermi surf... | The Hebel-Slichter coherence peak in $s$-wave superconductors arises from the constructive combination of coherence factors and a divergent density of states near the gap edge, facilitated by a sign-preserving (isotropic) gap symmetry. In $d$-wave superconductors, the gap changes sign across the Fermi surface (having $... | The question tests the connection between macroscopic NMR relaxation rate signatures (Hebel-Slichter peak) and microscopic gap symmetries ($s$-wave vs. $d$-wave) using both the line plots in (a)/(b) and the 2D spectral intensity maps in (d). It requires understanding how coherence factors behave under different gap sym... | very_hard | [] | Not supported with pagination yet | |
2608.19079:fig:InactiveVsactiveNodes | 2608.19079 | Ultrasonic attenuation in inhomogeneous superconductors | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2026-08-19T16:29:51Z | fig:InactiveVsactiveNodes | The low temperature characteristics of $d_x^2 - y^2$ for L100 mode for a different Fermi surface ($n=0.6$), with zeros of the electron–phonon matrix element $F(k,q)$, not lying along the nodal lines. | Based on the log-log plot of the normalized ultrasonic attenuation ($\alpha_s/\alpha_n$) versus $1/\beta$ (where $\beta = 1/k_B T$), what is the power-law exponent $p$ (where $\alpha_s/\alpha_n \propto T^p$) governing the low-temperature behavior? Explain how the inset's representation of the gap nodes (blue lines) and... | The power-law exponent is $p \approx 1.10$, as derived from the linear fit equation $\log(\alpha_s/\alpha_n) = -1.10\log\beta + 0.7 = 1.10\log(1/\beta) + 0.7$.
In the inset, the blue diagonal lines represent the nodal lines of the $d_{x^2-y^2}$ superconducting gap (where the gap vanishes), while the red dots represent... | The user must first extract the exponent from the linear equation on the log-log plot: $\log(\alpha_s/\alpha_n) = -1.10\log\beta + 0.7 \implies \alpha_s/\alpha_n \propto (1/\beta)^{1.10} \propto T^{1.10}$. Then, they must interpret the inset: the blue lines are the $d$-wave nodes, and the red dots are the zeros of $F(k... | very_hard | [] | Not supported with pagination yet |
2608.09753:fig:SIFig_Fe_bindingsites:manuscript_SI_vanWeerdenburg.tex | 2608.09753 | 2608.09753 | [] | fig:SIFig_Fe_bindingsites | a) Topographic STM image of two Fe atoms on \ adsorbed in two different hollow sites (\ = 10, \ = 50pA). b) \ spectrum of Fe$^A$ (red) and Fe$^B$ (blue) on , measured with a superconducting V tip (stabilized at \ = 5, \ = 500pA). The size of the superconducting gap of the tip is indicated with blue shading. c) Fe$^B$ s... | Based on the STM topography in (a) and the tunneling spectra in (b) and (c), what structural distinction characterizes the adsorption sites of Fe^A and Fe^B, and how does this difference in local environment affect their Yu-Shiba-Rusinov (YSR) excitation spectra? | The STM topography in (a) shows that Fe^A and Fe^B adsorb in two distinct three-fold hollow sites of opposite orientation (indicated by the downward-pointing triangle for A and upward-pointing triangle for B, corresponding to fcc and hcp sites of the hexagonal lattice). This difference in local crystal-field environmen... | By visually inspecting the white triangular grids overlaid on the STM image in (a), one can see that the adsorption sites A and B have opposite three-fold hollow site orientations (pointing down vs. pointing up), which represent the two inequivalent hollow sites (fcc and hcp) on a hexagonal close-packed surface. The dI... | very_hard | [] | Not supported with pagination yet | |
2608.15907:fig:xz:main_infotheory_v2.0_combined.tex | 2608.15907 | 2608.15907 | [] | fig:xz | Longitudinal chromatic structure and the channel foci. a--c True-color longitudinal composites for the hyperbolic reference, information design and MTF-volume control within the saved 250520 window, with the sensor plane at $F=346.7$ marked. The color-filter channel intensity peaks sit at $(347,\,387,\,448)$, $(330,\,3... | Based on the on-axis normalized intensity profiles in panel f, estimate the intensity values for the R, G, and B channels of the 'Information design' (solid curves) at the sensor plane ($z = 346.7\ \mu\text{m}$). Compare the minimum normalized intensity among the three channels at this plane between the 'Information de... | At the sensor plane ($z = 346.7\ \mu\text{m}$):
- For the **Information design** (solid curves): Red is at $\approx 0.90\text{--}0.95$, Green is at $\approx 0.90\text{--}0.95$, and Blue is at $\approx 0.45$. The minimum normalized intensity is $\approx 0.45$ (Blue).
- For the **Hyperbolic reference** (dashed curves): R... | By visually inspecting panel f at the vertical dashed line representing the sensor plane ($z = 346.7\ \mu\text{m}$), we can read the y-axis values (on-axis intensity, normalized) for both the solid curves (Information design) and dashed curves (Hyperbolic reference). For the solid curves, Red and Green are near their l... | hard | [] | Not supported with pagination yet | |
2608.19057:fig_3:main.tex | 2608.19057 | Distinct Modes of Quantum Information Transfer in Power-Law Long-Range Spin Networks | [
"quant-ph",
"cond-mat.other",
"physics.comp-ph"
] | 2026-08-19T15:54:46Z | fig_3 | The increasing-ordered spectrum $_k$ and initial wave packet in $k$-space $v_1k^2$ across different optimisation configurations. The differences in appearance of the initial wavepacket in $k$-space between (d) and 4 optimised sites is indistinguishable, therefore 4 is omitted. | Based on the provided plot of the eigenvalue spectrum $\omega_k$ (blue filled circles, left axis) and the initial wave packet distribution $|v_{1k}|^2$ (white circles, right axis) versus the mode index $k$, determine the approximate mode index $k$ at which the wave packet distribution reaches its maximum value, and est... | The wave packet distribution $|v_{1k}|^2$ peaks at a mode index $k$ of approximately $55$ (acceptable range: $53$ to $57$). At this mode index, the corresponding eigenvalue $\omega_k$ is approximately $0$ (acceptable range: $-0.2$ to $0.1$). | By visually inspecting the right y-axis and the white circular markers representing $|v_{1k}|^2$, the peak of the bell-shaped curve occurs slightly to the right of $k = 50$, at approximately $k \approx 55$. Projecting this $k$ value onto the blue curve (representing the eigenvalue spectrum $\omega_k$ on the left axis) ... | hard | [] | Not supported with pagination yet |
2608.09422:fig:state_analyses:acs-manuscript.tex | 2608.09422 | 2608.09422 | [] | fig:state_analyses | Analysis of the populated states for the final transition trajectories. a) Percentage of time spent in singlet and triplet states along the reaction coordinate. b) Histogram of the number of hops, including both the combined total and the breakdown by singlet and triplet hops. Zero hops are highlighted by hatched bars.... | Based on the statistical distribution of hops in (b) and the state populations in (c), analyze the relative importance of spin-conserving transitions (internal conversion, IC) versus spin-forbidden transitions (intersystem crossing, ISC) for the trajectories transitioning from state A to state B. Specifically, identify... | From (b), approximately 500 transition trajectories undergo zero hops between singlet and triplet states, which represents the vast majority of the simulated trajectories. This indicates that spin-conserving internal conversion (IC, primarily $S_1 \rightarrow S_0$) is highly dominant over spin-forbidden intersystem cro... | The question requires the user to integrate data from two subfigures: (b) to read the quantitative value of trajectories with zero singlet-triplet hops (~500) and understand its physical meaning (lack of ISC), and (c) to observe the final state populations at B ($S_0 \approx 0.8$ vs. $T_1 \approx 0.15$). Connecting the... | hard | [] | Not supported with pagination yet | |
2608.13062:fig:patch_index:main.tex | 2608.13062 | 2608.13062 | [] | fig:patch_index | Enumeration of the $N = 157$ AFM patches. The interlayer-exchange map $J_inter(r)$ (colour scale, in meV; the same map as Fig.~fig:modela of the main text) with every interior AFM patch ($J_inter > 0$) outlined and assigned a fixed index $n = 1, , 157$. Patches touching the simulation boundary are excluded from the enu... | Based on the spatial distribution and shape of the outlined antiferromagnetic (AFM) patches (where $J_p > 0$):
1. What are the three distinct orientation angles (in degrees, relative to the positive x-axis) of the major axes of these elliptical patches?
2. What lattice symmetry is formed by the subset of vertically or... | 1. The three distinct orientation angles of the ellipses' major axes are approximately **30°, 90°, and 150°** (or equivalently -30°), reflecting a 3-fold rotational symmetry.
2. The subset of vertically oriented patches forms a **triangular (or hexagonal) lattice**. | By inspecting the orientations of the elliptical AFM patches, they fall into three distinct direction groups: vertical (90°), slanted up-to-the-right (30°), and slanted down-to-the-right (150° / -30°). This 60° separation between the three orientations is characteristic of the 3-fold symmetry of the underlying moiré su... | hard | [] | Not supported with pagination yet | |
2608.16436:fig:hero:results.tex | 2608.16436 | 2608.16436 | [] | fig:hero | Magic and multireference character in $N_2$ dissociation. (a)~The exact addition spectral function $A()$ (orbital-projected, CAS(6,6), cc-pVDZ) along the triple-bond stretch, offset by $R$: the sharp coherent quasiparticle peak at equilibrium ($R=1.0$~) broadens into a correlated multiplet on dissociation as its spectr... | Based on the data plotted in panel (b), at what approximate N-N bond length $R$ (in Å) do the curves for the normalized fermionic magic $\mathcal{F}_1 = 2N_u$ and the addition weight $1 - \langle n_p \rangle$ intersect, and what is the corresponding value on the y-axis ('fraction of maximum') at this crossing point? | The two curves intersect at an N-N bond length $R$ of approximately $1.9\text{ Å}$ to $1.95\text{ Å}$, corresponding to a 'fraction of maximum' value of approximately $0.7$ (or $70\%$) on the y-axis. | By visually inspecting panel (b), the red curve (fermionic magic) and the blue curve (addition weight) cross each other between the data points at $R = 1.70\text{ Å}$ and $R = 2.00\text{ Å}$. The intersection point lies slightly to the left of the $2.0\text{ Å}$ tick mark, at approximately $1.9\text{ Å}$ to $1.95\text{... | hard | [] | Not supported with pagination yet | |
2608.15467:fig:tests:full.tex | 2608.15467 | 2608.15467 | [] | fig:tests | Two complementary tests of distinct predictions. (a) Interacting periodic XXZ data for $k=2,3$ and five anisotropies test the predicted independence of $_k$ from the Luttinger parameter $K$ across the TLL phase. Dashed lines have the parameter-free CFT slopes $-_k$ from Eq.~eq:Gamma and are anchored only in vertical po... | Based on the plots for $k=2$ and $k=3$, what is the general trend of $F_k(U)$ with respect to the anisotropy parameter $\Delta$ at any fixed conformal distance $D_U$, and how does the sensitivity (vertical spread) of $F_k(U)$ to variations in $\Delta$ change as $k$ increases from 2 to 3? | At any fixed conformal distance $D_U$, $F_k(U)$ generally decreases as the anisotropy parameter $\Delta$ increases from $-0.8$ to $0.8$ (with the highest values corresponding to negative $\Delta$ and the lowest values corresponding to positive $\Delta$). Furthermore, the vertical spread (dispersion) of the data points ... | By visually inspecting the vertical ordering of the markers at any given $D_U$ (for instance, at $D_U = 10$ or $20$), we observe that the blue circles ($\Delta = -0.8$) and orange squares ($\Delta = -0.5$) lie at the top, followed by green triangles ($\Delta = 0$), red diamonds ($\Delta = 0.5$), and finally purple inve... | hard | [] | Not supported with pagination yet | |
2608.19185:fig:phase_diagram_and_multiQ_criterion | 2608.19185 | Unconventional bond- and current-density waves on hexagonal lattices | [
"cond-mat.str-el"
] | 2026-08-19T17:55:44Z | fig:phase_diagram_and_multiQ_criterion | Phase diagram as a function of $T$ and $$. The blue and green (gray) line show the critical temperature $T_c$ for the CDW instability for $Q_i=K_i/4$ ($Q_i=M_i$) which transform according to the irreps $_2^+$ with $d^xy$ form factor and $_1^-$ with $f$ form factor, respectively. The gray area indicates the region where... | Based on the phase diagram, for the $d^{xy} (\Lambda_2^+)$ instability at a chemical potential of $\mu \approx 1.70$ and temperature $T \approx 0.10$, is the resulting charge density wave (CDW) order expected to be single-Q or multi-Q? Justify your answer using the visual data from the colorbar. | The CDW order is expected to be multi-Q. At $\mu \approx 1.70$ and $T \approx 0.10$, the background color in the phase diagram is dark red/brown. According to the colorbar on the right, this color corresponds to a positive value of $2\beta_1 - \beta_2$ (approximately $+5$ to $+10$). Since the criterion for multi-Q orde... | The user must locate the coordinates $\mu \approx 1.70$ and $T \approx 0.10$ on the phase diagram, which lies on the blue curve representing the $d^{xy} (\Lambda_2^+)$ instability. By inspecting the background color at this point, they will observe it is dark red/brown. Referencing the colorbar on the right, dark red/b... | hard | [] | Not supported with pagination yet |
2608.18871:Fig_energy_perturbation_all:Supplemental_v5.tex | 2608.18871 | 2608.18871 | [] | Fig_energy_perturbation_all | Fig_energy_perturbation_all Numerical tests of minimum energy on perturbations (viscous regime). Curves $\#6$--$8$ are the true minimum energy curves for three different Stokes numbers. (b)--(d) Energy ratio $E/E_min$: all perturbations yield higher energy than $E_min$. | Based on the inverted vertical axis of panel (a), analyze the spatial profiles of the three true minimum energy curves (#6, #7, and #8) corresponding to the energy minima in panels (b), (c), and (d) respectively. As the system transitions from the minimum energy state in (b) to that in (d), how does the value of the co... | As the system transitions from the minimum energy state in (b) (corresponding to Curve #6) to (c) (Curve #7) and finally to (d) (Curve #8), the value of the coordinate $\tilde{y}$ at $\tilde{x} = 1/2$ decreases.
Specifically, observing the inverted vertical axis where $0$ is at the top and $3.0$ is at the bottom:
- C... | The question requires the user to first link the energy minima in panels (b), (c), and (d) to their respective curves (#6, #7, and #8) in panel (a). Then, the user must carefully inspect the vertical axis of panel (a), noting that it is inverted (0 is at the top, 3.0 is at the bottom). By evaluating the curves at $\til... | hard | [] | Not supported with pagination yet | |
2608.13821:fig:marginal-stability-geometry:main.tex | 2608.13821 | 2608.13821 | [] | fig:marginal-stability-geometry | Geometric interpretation of marginal stability in the $(m,c_1,c_2)$ phase space. The nullcline $u^*()$ (thick solid curve, blue) projects onto the $(m,c_1)$--plane as the line of membrane equilibria $R_m(m,c_1) = 0$ (blue-shaded manifold and thin solid curve, orange), with projected tangent $$ (dashed arrow). The null ... | Based on the geometric representation in the $(m, c_1, c_2)$ phase space and the inset, describe the geometric orientation of the marginal eigenvector $\delta\mathbf{u}(q)$ in the limit $q \to \infty$. What physical mechanism in membrane-bulk coupled systems does the suppression of the $c_2$ component at high wavenumbe... | In the limit $q \to \infty$, the marginal eigenvector $\delta\mathbf{u}(\infty)$ rotates to lie entirely parallel to the $(m, c_1)$ plane, meaning its $c_2$ component is completely suppressed (pointing purely along the projected tangent direction $\boldsymbol{ au}$). Physically, this suppression at high wavenumbers (sh... | By inspecting the inset, the marginal eigenvector $\delta\mathbf{u}(q)$ rotates from being tangent to the nullcline at $q=0$ to a horizontal orientation $\delta\mathbf{u}(\infty)$ as $q$ increases. The inset axes show that the vertical axis is $c_2$ and the horizontal axis is $\boldsymbol{ au}$ (which lies in the $(m, ... | very_hard | [] | Not supported with pagination yet | |
2608.13761:fig:ac_ah_low_5_side_5e-1:main-content.tex | 2608.13761 | 2608.13761 | [] | fig:ac_ah_low_5_side_5e-1 | Snapshots of deposition processes on a substrate (light green) for different particle-particle interactions, characterized by the adhesion parameter a)-e) $=0.02$ , f)-j) $=0.2$ and k)-o) $=10.0$. The solvent is represented by the red color. | Based on the provided snapshot of the deposition process, what structural state describes the arrangement of the particles, and how does the particle-particle adhesion parameter influence this morphology compared to a low-adhesion scenario? | The particles form a highly porous, volume-spanning gel-like network (or kinetically arrested colloidal gel) that extends throughout the solvent volume with minimal compaction at the substrate. This occurs because strong particle-particle adhesion (high adhesion parameter) causes immediate sticking upon contact, preven... | Visual inspection of the image shows that the particles are distributed uniformly throughout the height of the container, forming a loose, disordered network rather than settling into a dense sediment layer at the bottom substrate (light green). In colloidal science, strong attractive interactions (high adhesion) lead ... | hard | [] | Not supported with pagination yet | |
2608.09382:fig:ISPs:CRPDNN.tex | 2608.09382 | 2608.09382 | [] | fig:ISPs | Schematic illustration of the considered inverse scattering problems (ISPs). (a) General 3-D ISP. (b) Special $z$-invariant TM case, where a $z$-invariant object under transverse magnetic (TM) incidence $(E_z)$ can be reduced to an equivalent 2-D TM inverse scattering problem in the $x$--$y$ plane. | In the z-invariant reduction shown in (b), the incident electric field is polarized along the cylinder axis ($E_z$, TM incidence). From an electromagnetic materials perspective, explain why this TM polarization allows the wave equation inside an inhomogeneous, isotropic dielectric scatterer $\epsilon_r(x,y)$ to be writ... | For TM polarization, the electric field vector $\mathbf{E} = E_z \hat{\mathbf{z}}$ is parallel to the cylinder axis, while the gradient of the permittivity $\nabla \epsilon_r$ lies entirely in the transverse $x$-$y$ plane due to $z$-invariance (i.e., $\partial \epsilon_r / \partial z = 0$). Consequently, the dot produc... | The question tests the physical and mathematical reasoning behind the simplification of the 2D TM inverse scattering problem shown in Figure (b). By analyzing the vector identity for the curl of the curl of the electric field in inhomogeneous media, the student must recognize that the $z$-directed electric field (TM) i... | very_hard | [] | Not supported with pagination yet | |
2608.19185:fig:app_beta1 | 2608.19185 | Unconventional bond- and current-density waves on hexagonal lattices | [
"cond-mat.str-el"
] | 2026-08-19T17:55:44Z | fig:app_beta1 | Quartic Ginzburg-Landau coefficient $_1$ for $Q=K/4$, evaluated for the leading RPA eigenchannel as a function of temperature and chemical potential. The red (grey) line indicates the critical temperature $T_c$ for the CDW instability for $Q=K/4$ ($Q=M$). | In Ginzburg-Landau theory, the sign of the quartic coefficient $\beta_1$ determines the thermodynamic nature of the phase transition. Based on the color map, what is the dominant nature of the CDW transition along the $Q=K/4$ instability line (red curve), and near which chemical potential $\mu$ does the transition exhi... | The dominant nature of the transition along the red curve ($Q=K/4$) is second-order (continuous), as $\beta_1$ is positive (indicated by the red/light-orange background) across almost the entire extent of the red curves. However, at low temperatures near $\mu \approx 1.78$ (at the boundary of the grey shaded region), t... | In Ginzburg-Landau theory, a positive quartic coefficient ($\beta > 0$) ensures stability and corresponds to a second-order phase transition, while a negative coefficient ($\beta < 0$) indicates a first-order transition (requiring higher-order terms like $\gamma \phi^6$ for stability). Visual inspection of the colorbar... | hard | [] | Not supported with pagination yet |
2608.19064:fig:moneyplot_10GeV:main.tex | 2608.19064 | Exploring the limits of high-energy proton-pion separation in granular calorimeters | [
"hep-ex",
"physics.app-ph",
"physics.ins-det"
] | 2026-08-19T16:06:11Z | fig:moneyplot_10GeV | Summary of $p/$ classification results at 10GeV. (Top-Left) Accuracy versus cell cross-section for different longitudinal segmentations. (Top-Right) Accuracy versus cell length for different transverse segmentations. (Bottom-Left) Accuracy versus cell volume. The plotted $(_xy,_z)$ pairs are $\(9,6),(9,12),(9,24),(9,48... | Comparing the Top-Left plot and the Bottom-Right heatmap, there is a labeling discrepancy regarding the longitudinal segmentation ($\Delta_z$). Based on the consistent trend shown in both the Top-Right plot and the heatmap, which colored curve in the Top-Left plot actually represents the finest longitudinal segmentatio... | The red curve (incorrectly labeled as $\Delta_z = 48$ mm in the Top-Left legend) actually represents the finest longitudinal segmentation of $\Delta_z = 6$ mm.
Physically, high-energy protons (which interact hadronically) and pions (which can initiate electromagnetic showers if they decay to neutral pions, or hadronic... | By cross-referencing the Top-Right plot (where accuracy decreases from ~93% to ~80% as $\Delta_z$ increases from 6 mm to 48 mm) and the Bottom-Right heatmap (where $\Delta_z = 6.0$ mm corresponds to ~93% and $\Delta_z = 48.0$ mm corresponds to ~80%), we can identify that the legend in the Top-Left plot has inverted lab... | very_hard | [] | Not supported with pagination yet |
2608.10269:fig:rdepence:main.tex | 2608.10269 | 2608.10269 | [] | fig:rdepence | Elastic response within the microgel Bulk modulus, $K$, (filled symbols) and shear modulus, $G$, (empty symbols) as functions of the radial distance $r$ to the core of the particle normalized by the corresponding hydrodynamic radius, $R_h$, for ULC (triangles), $c=1\ | Based on the plotted radial profiles of the bulk modulus ($K$, filled symbols) and shear modulus ($G$, empty symbols), identify the relative order of $K$ and $G$ for the three microgel systems (ULC, $c=1\%$, and $c=5\%$). What does the relationship observed in the ULC and $c=1\%$ systems imply about their effective loc... | For the $c=5\%$ system (squares), the bulk modulus is greater than the shear modulus ($K > G$), which is the standard behavior for most conventional materials. However, for both the ULC (triangles) and $c=1\%$ (circles) systems, the shear modulus is greater than the bulk modulus ($G > K$).
Under the assumption of iso... | By visually inspecting the curves:
1. For ULC (triangles), the empty triangles ($G$) lie consistently above the filled triangles ($K$), meaning $G > K$.
2. For $c=1\%$ (circles), the empty circles ($G$) lie above the filled circles ($K$), meaning $G > K$.
3. For $c=5\%$ (squares), the filled squares ($K$) lie above the... | very_hard | [] | Not supported with pagination yet | |
2608.13821:fig:coupling:main.tex | 2608.13821 | 2608.13821 | [] | fig:coupling | (a)~Coupling-driven instability mechanism for positive coupling characterized by $S_AB,\, S_BA > 0$: A local increase in the total density of species~A (thick red circles) enhances the mass-redistribution potential $_B$ of species~B (blue dots), thereby increasing its cytosolic density $c_B$. Because the local total am... | Based on the spatial profiles of the mass-redistribution potentials ($\eta_A$ and $\eta_B$) and the corresponding mass-redistribution flux arrows in the shaded regions of panels (a) and (b), what is the thermodynamic driving direction of the mass-redistribution flux for each species relative to its potential gradient, ... | The mass-redistribution flux of each species always flows down its respective potential gradient (from high potential $\eta$ to low potential $\eta$). This fundamental thermodynamic relation is identical in both regimes:
1. In panel (a) (positive coupling), $\eta_A$ increases from left to right, driving the flux of A ... | By visually inspecting the slopes of the curves representing $\eta_A$ (red) and $\eta_B$ (blue) and comparing them to the direction of the 'mass-redistribution' arrows in the shaded box, we can deduce the thermodynamic transport law. In (a), the red curve rises to the right (positive gradient), and the red arrow points... | hard | [] | Not supported with pagination yet | |
2608.17968:fig:fig9:SC_HG.tex | 2608.17968 | 2608.17968 | [] | fig:fig9 | Cooperation dynamics under the strict product-form three-body payoff. (a) Final cooperation level $_C$ as a function of the multiplication factor $r$ for HG and SC with $=0.1$ and $=0.2$. (b) Distribution of final cooperation levels for $=0.2$. (c) Distribution of final-state overlap $Q$ for $=0.2$. The randomized HG s... | Based on the statistical distributions of the final cooperation level $\rho_C$ and the final-state overlap $Q$ for $\alpha = 0.2$ shown in panels (b) and (c), what thermodynamic phase transition analogies best describe the difference in ordering behavior between the hypergraph (HG) and simplicial complex (SC) architect... | The hypergraph (HG) architecture exhibits behavior analogous to a discontinuous (first-order) phase transition, characterized by strong bistability with two distinct coexisting states (sharp peaks near 0 and 1 in both final cooperation $\rho_C$ and overlap $Q$). Conversely, the simplicial complex (SC) architecture exhi... | By analyzing panels (b) and (c) for $\alpha = 0.2$, we observe that the HG distribution is highly bimodal (peaks concentrated at the extreme boundaries 0 and 1), which is a classic signature of bistability and first-order/discontinuous phase transitions (phase coexistence). In contrast, the SC distribution is broadly d... | hard | [] | Not supported with pagination yet | |
2608.17400:app_fig:DC_training:appendices.tex | 2608.17400 | 2608.17400 | [] | app_fig:DC_training | Simulated performance and complexity of time-independent QCS protocols across all tasks. a, Mean squared distance between the target function and the simulated learned QSP response as a function of the number of layers $L$ for Tasks 1 to 6. In all cases, the distance decreases with increasing protocol depth before appr... | Based on the simulated excitation probability profiles in panels d, e, and g (representing Tasks 2, 3, and 5 respectively), count the number of distinct peaks (local maxima) in the target response curves (darkest blue curves at high $L$). Correlate these counts with the minimum protocol depth $L$ required to achieve a ... | By visually inspecting the target response curves (darkest blue curves at the top of each panel):
- **Task 2 (panel d):** Contains 1 distinct peak. From panel b, the minimum protocol depth $L$ required is approximately 3.
- **Task 3 (panel e):** Contains 2 distinct peaks. From panel b, the minimum protocol depth $L$ re... | The question requires the user to perform two distinct visual tasks: first, identify and count the number of peaks in the target (high $L$, dark blue) excitation probability curves for Tasks 2, 3, and 5 (panels d, e, and g). Second, they must map these tasks to the corresponding data points in panel b to read the minim... | hard | [] | Not supported with pagination yet | |
2608.17040:fig:ESR_STM:main-3.tex | 2608.17040 | 2608.17040 | [] | fig:ESR_STM | Simulation of the ESR-STM resonance. a) $S_1^z()$ for different temperatures, featuring resonance peaks at $=_z$ and $= _z _$. The height lowest-energy peak ( $= _z - _$) is controlled by equilibrium occupation of the state $1$, as shown in inset, where $h=|S_1^z_res- S_1^z_0S_1^z_0|$. b) Corresponding $()$ curves for ... | Based on the simulated ESR-STM spectra, estimate the value of the splitting parameter $\delta_\chi$ in meV. Furthermore, explain why the lowest-energy resonance peak at $\hbar\omega \approx 0.109\text{ meV}$ in (a) increases in intensity with increasing temperature, whereas the highest-energy peak at $\hbar\omega \appr... | 1. **Splitting parameter $\delta_\chi$**: The resonance peaks are located at $\omega_z - \delta_\chi \approx 0.109\text{ meV}$, $\omega_z \approx 0.116\text{ meV}$, and $\omega_z + \delta_\chi \approx 0.123\text{ meV}$. The spacing between adjacent peaks yields $\delta_\chi \approx 0.007\text{ meV}$ (or $7\ \mu\text{eV... | The user must visually inspect the x-axis of the plots to find the resonance positions (0.109, 0.116, and 0.123 meV) and calculate the difference to find $\delta_\chi \approx 0.007\text{ meV}$. Then, using the population distribution in (c) and thermodynamic principles, the user must explain how thermal population of t... | very_hard | [] | Not supported with pagination yet | |
2608.19116:fig3 | 2608.19116 | JANUS: A Multi-modal Foundation Neural Sampler for Disordered Materials | [
"cond-mat.mtrl-sci"
] | 2026-08-19T17:11:03Z | fig3 | Thermodynamic sampling, conditional generation and inverse design of alloys. a. Thermodynamic sampling of fcc Cu-Ag alloys. Composition-dependent mixed Gibbs free energy $G_mix(x)$ at $T=600$~K and the resulting fcc miscibility-gap boundaries are shown from JANUS and reference calculations. b. Thermodynamic sampling of... | In the multi-objective inverse design of Ag-Al-Au-Cu-Ni alloys shown in Figure 3e, analyze the trade-off along the Pareto front in the ($R_{visible}$–$G$) subspace. Describe the trend of the bulk modulus $B$ (represented by the color scale) as the shear modulus $G$ increases along this front, and identify which element... | Along the Pareto front, as the shear modulus $G$ increases (from approximately 25 GPa to 95 GPa), the visible-range optical reflectance $R_{visible}$ decreases (from approximately 0.9 to 0.65). Concurrently, the bulk modulus $B$ increases, as indicated by the color transition of the Pareto front points from dark purple... | By inspecting the Pareto front plot in Figure 3e, we observe a clear trade-off where higher shear modulus $G$ corresponds to lower optical reflectance $R_{visible}$. The color mapping of the points along this red Pareto line changes from dark purple/blue at low $G$ to yellow/green at high $G$, indicating that the bulk ... | hard | [
"requires_visual_understanding",
"requires_domain_knowledge"
] | Not supported with pagination yet |
2608.13062:fig:model:main.tex | 2608.13062 | 2608.13062 | [] | fig:model | Moir\'e magnetic textures in twisted bilayer CrI3. a, Interlayer exchange coupling map $J_inter(r)$ used in the simulations, tiled across the moir\'e superlattice. Blue (red) marks ferromagnetic (antiferromagnetic) coupling, $J_inter < 0$ ($J_inter > 0$). The yellow dashed box outlines one moir\'e unit cell at the cent... | Based on the spatial distribution of the out-of-plane magnetization $M_z/M_s$ in the top and bottom layers (Fig. 1b, top row) and the interlayer exchange coupling map $J_{inter}$ (Fig. 1a), analyze the magnetic state at the coordinates $(x \approx 0\text{ nm}, y \approx 25\text{ nm})$ and $(x \approx 0\text{ nm}, y \ap... | At both $(0, 25\text{ nm})$ and $(0, -25\text{ nm})$, the top and bottom layers exhibit an antiparallel alignment. Specifically:
- At $(0, 25\text{ nm})$, the top layer is reversed ($M_z/M_s \approx -1$, blue) while the bottom layer remains unreversed ($M_z/M_s \approx +1$, red).
- At $(0, -25\text{ nm})$, the top laye... | The question requires the user to visually inspect the coordinates $(0, 25)$ and $(0, -25)$ in both the $J_{inter}$ map (Fig. 1a) and the top/bottom layer $M_z/M_s$ maps (Fig. 1b, top row). By identifying that these coordinates correspond to red regions in Fig. 1a ($J_{inter} > 0$, AFM coupling) and complementary blue/... | hard | [] | Not supported with pagination yet | |
2608.12572:fig:emax_convergence:SM.tex | 2608.12572 | 2608.12572 | [] | fig:emax_convergence | Sensitivity of CPA frictional dissipation to the high-energy cutoff. Mean final frictional energy loss, $E^f $, averaged over six NO/Au(111) BOMD trajectories, as a function of the maximum excitation energy $_$ used in the memory-kernel reconstruction. Results are shown for hard, Gaussian, and exponential cutoff functi... | Based on the provided plot showing the sensitivity of CPA frictional dissipation to the high-energy cutoff, at what minimum value of $\hbar\omega_{\text{max}}$ do all three cutoff schemes achieve complete convergence to the plateau value of $\langle \Delta E^f \rangle \approx 0.375\text{ eV}$? Additionally, which cutof... | All three cutoff schemes achieve complete convergence to the plateau value of approximately $0.375\text{ eV}$ at a minimum $\hbar\omega_{\text{max}}$ of $1.0\text{ eV}$. At the lowest evaluated cutoff energy of $\hbar\omega_{\text{max}} \approx 0.1\text{ eV}$, the "Hard cutoff" (represented by the green curve) yields t... | By visually inspecting the plot, the three curves (Hard cutoff in green, Gaussian cutoff in orange, and Exponential cutoff in purple) converge to a flat plateau of $\langle \Delta E^f \rangle \approx 0.375\text{ eV}$ starting exactly at the data point $\hbar\omega_{\text{max}} = 1.0\text{ eV}$. At the lowest plotted cu... | hard | [] | Not supported with pagination yet | |
2608.18049:fig:flat_lead_truncation:paper_revision.tex | 2608.18049 | 2608.18049 | [] | fig:flat_lead_truncation | Long-time current for flat-band reservoirs. Increasing the hierarchy depth from $2$ to $3$ at fixed $N_k=18$ has little effect, whereas changing $N_k$ substantially modifies the HEOM result. None of the displayed HEOM calculations is converged to the Landauer--B\"uttiker steady-state current. | Based on the provided plot of the current through a quantum point contact (QPC) over time, compare the performance of the 'Tape-recorder coarse graining' method against the various HEOM calculations in reproducing the Landauer–Büttiker steady-state current. What trend is observed in the HEOM calculations as the number ... | The 'Tape-recorder coarse graining' method successfully reproduces the Landauer–Büttiker steady-state current, remaining stable and oscillating closely around the steady-state value of ~0.005 across the entire time range (up to $t=500$). In contrast, all displayed HEOM calculations fail to converge to this steady-state... | By visually inspecting the plot, the green dashed line representing the Landauer-Büttiker steady current is at ~0.005. The blue curve ('Tape-recorder coarse graining') closely tracks this line with small oscillations. The HEOM curves (black, pink, green, orange) all deviate significantly, rising up to ~0.03-0.035. Look... | hard | [] | Not supported with pagination yet | |
2608.16152:fig:dimer_advisor_symbolic_delta:paper.tex | 2608.16152 | 2608.16152 | [] | fig:dimer_advisor_symbolic_delta | Single resonator. | Based on the log-log plot of relative error versus the parameter $\delta$ for the dimer resonator, estimate the power-law scaling order $n$ (where relative error $\propto \delta^n$) of the standard 'Asymptotic' approximation (blue curve). Furthermore, what physical or numerical limitation explains why the symbolic regr... | The power-law scaling order $n$ of the 'Asymptotic' approximation is approximately 2 (quadratic scaling, $\mathcal{O}(\delta^2)$). The flat floor of $10^{-11}$ to $10^{-12}$ for the symbolic methods is due to the numerical precision limit (machine precision or the convergence tolerance of the underlying numerical solve... | To find the scaling order $n$, we calculate the slope of the blue line on the log-log scale: at $\delta \approx 6 \times 10^{-2}$, the relative error is $\approx 10^{-4}$, and at $\delta \approx 3 \times 10^{-1}$, the relative error is $\approx 3 \times 10^{-3}$. The change in $\log_{10}(\delta)$ is $\log_{10}(5) \appr... | hard | [] | Not supported with pagination yet | |
2608.19079:fig:Dos_Vimp | 2608.19079 | Ultrasonic attenuation in inhomogeneous superconductors | [
"cond-mat.supr-con",
"cond-mat.str-el"
] | 2026-08-19T16:29:51Z | fig:Dos_Vimp | Plots for the non-magnetic bound state and magnetic bound state cases. (a) Density of states, $N(E)$, as a function of the impurity strength $V_imp$ for the non-magnetic bound state. (b) Spin-resolved local density of states for the non-magnetic bound state. Red and blue denote the spin-down and spin-up components, res... | Based on the spin-resolved local density of states (LDOS) shown in (b) and (d), contrast the spatial distribution of the spin-up and spin-down components near the impurity site (site 0) between the non-magnetic bound state ($V_{imp}=21, U=0.0$) and the magnetic bound state ($V_{imp}=100, U=0.5$). | In the non-magnetic bound state (b), the spin-up (blue) and spin-down (red) LDOS components are spatially symmetric and perfectly overlapping at all sites, resulting in a uniform purple color (equal admixture) across the bound state. In contrast, the magnetic bound state (d) exhibits spatial spin polarization, where th... | By visually inspecting (b) and (d) and using the caption's key (red = spin-down, blue = spin-up, purple = equal admixture), we observe that the non-magnetic state preserves spin degeneracy locally (purple color throughout the spatial profile). For the magnetic bound state in (d), the onsite Coulomb interaction $U$ brea... | hard | [] | Not supported with pagination yet |
2608.14544:fig:fig4:arXiv.tex | 2608.14544 | 2608.14544 | [] | fig:fig4 | Adiabatic excited state population $P^ad (t)$ for three-mode model of pyrazine $S_2 S_1$ internal conversion, from GPU simulation without trajectory spawning, comparing results with the number of walkers $N = 10^6 , 10^7$, and $10^8$. | Based on the simulated adiabatic excited state population $P^{ad}(t)$ of pyrazine, at approximately what simulation time does the $N = 10^6$ walker curve first deviate significantly (by more than 0.02 in population) from the converged $N = 10^8$ curve, and what numerical issue of this stochastic simulation method is hi... | The $N = 10^6$ curve first significantly deviates from the $N = 10^8$ curve at approximately 13 fs (where it dips below the converged green curve). The subsequent wild oscillations and unphysical negative population values (e.g., near 27 fs) illustrate the accumulation of stochastic/statistical noise over time. Without... | By visually inspecting the plot, the blue curve ($N = 10^6$) and green curve ($N = 10^8$) are indistinguishable until about 12-13 fs, where the blue curve drops rapidly to ~0.10 at 17 fs while the green curve remains around 0.15. The unphysical negative values (dropping below 0.0 on the y-axis near 27 fs) demonstrate t... | hard | [] | Not supported with pagination yet | |
2608.16084:fig:Fig_1:arxiv.tex | 2608.16084 | 2608.16084 | [] | fig:Fig_1 | fig:Fig_1 Short-term error, rollout error accumulation, and eigenanalysis of the models. Throughout, direct-step models are shown in vermilion and integration-constrained models in blue, with MLP as solid lines and FNO as dotted lines. (a) RMSE over the first $100$ steps. The two direct-step models (Direct MLP, Direct ... | In panel (b), the integration-constrained models (Euler MLP and Euler FNO) exhibit a power-law error accumulation over time. By visually estimating the slope of these two curves on the log-log scale, determine the power-law exponent $p$ (where $\text{RMSE} \propto t^p$). Explain how this exponent relates to the eigenva... | By inspecting panel (b), over four orders of magnitude of timesteps ($10^0$ to $10^4$), the RMSE for both Euler MLP and Euler FNO increases by approximately four orders of magnitude (from $\sim 10^{-4}$ to $\sim 1.5$ for Euler MLP, and from $\sim 10^{-5}$ to $\sim 0.2$ for Euler FNO). This yields a slope of approximate... | The user is asked to perform a quantitative visual estimation of the slope on the log-log plot in panel (b) to find the exponent $p$. For Euler MLP, at $t=10^0$, $\text{RMSE} \approx 1.2 \times 10^{-4}$; at $t=10^4$, $\text{RMSE} \approx 1.5$. The change in $\log_{10}(\text{RMSE})$ is $\log_{10}(1.5) - \log_{10}(1.2 \t... | hard | [] | Not supported with pagination yet | |
2608.07238:fig:fig8:main.tex | 2608.07238 | 2608.07238 | [] | fig:fig8 | (a)(b) $1/T_1T$ combining the bubble-graph contribution in Fig.~fig:fig4 and vertex correction in Fig.~fig:fig7. (c)(d) Derivatives of $1/T_1T$ in (a)(b) with respect to $(_BCS/)$. (e) Characteristic scale $(T_m)$ concerning the dip of $1/T_1T$ in $s$-wave system. We fit $(T_m)^-1$ versus $^-1$ via $(T_m)^-1=a(^^-1-^-1... | Observe the low-temperature regime where $\log(\pi\xi_{\text{BCS}}/\xi) < -2$ in panels (a) and (b). How does increasing the disorder parameter $\pi\xi_{\text{BCS}}/\ell$ (moving from dark green to light grey curves) differentially affect the spin-lattice relaxation rate $1/T_1T$ in the $s$-wave versus $d$-wave systems... | In the $s$-wave system (a), increasing disorder (larger $\pi\xi_{\text{BCS}}/\ell$) strongly suppresses $1/T_1T$ at low temperatures (from $\sim 0.14$ down to $\sim 0.02$). Conversely, in the $d$-wave system (b), increasing disorder leads to a systematic increase in the low-temperature limit of $1/T_1T$ (from $\sim 0.0... | By visually inspecting panels (a) and (b) at the far left ($\log(\pi\xi_{\text{BCS}}/\xi) < -2$), the curves for $s$-wave show a downward trend as $\pi\xi_{\text{BCS}}/\ell$ increases (dark green to light grey). In contrast, the $d$-wave curves show an upward trend. This is a classic signature of impurity-induced state... | very_hard | [] | Not supported with pagination yet | |
2608.12787:fig:main_3:main.tex | 2608.12787 | 2608.12787 | [] | fig:main_3 | Thermodynamic properties and atomic observables for the $_Cu = 0.75$~ML slab (a--c) and the $_Cu = 0.75$~ML, $_O = 0.5$~ML slab (d--f): heat capacity (a, d), Cu-Cu radial distribution function (b, e), and Cu structure factor (c, f). For all properties, the average over four independent simulations is shown and for the ... | Based on the heat capacity and structure factor plots, how does the addition of 0.5 ML of oxygen affect the surface melting temperature of the Cu slab, and what specific structural periodicity along the $(k, 0, 0)$ direction is stabilized at low temperatures as a result of this adsorption? | The addition of 0.5 ML of oxygen significantly elevates the surface melting temperature of the Cu slab, shifting it from approximately 1050 K (gray line in panel a) to approximately 1400 K (gray line in panel d). At low temperatures (dark purple curves), this oxygen adsorption stabilizes a highly ordered surface recons... | By visually comparing the gray vertical lines marking the surface melting points in panels (a) and (d), we observe an increase from ~1050 K to ~1400 K, demonstrating that oxygen stabilizes the surface against melting. Looking at the low-temperature (dark purple/blue) structure factor curves in panels (c) and (f) along ... | very_hard | [] | Not supported with pagination yet | |
2608.18871:fig03_nature_ideal:main_v5_AP_VM.tex | 2608.18871 | 2608.18871 | [] | fig03_nature_ideal | fig03_nature_ideal Energy-minimizing and energy-constrained ramps. (a) Energy minima ($1$) for varying particle Stokes number yield inverted cycloid-type ramps, consistent with experiments (Fig.~fig01_nature_idealb). The curvature follows from the $1$ limit of Eq.~(eq:kappa_mu). (b) Energy-constrained time minima ($0<<... | In panel (a), as the particle Stokes number ($St_p$) decreases, the energy-minimizing ramp profile shifts upward (closer to $\tilde{y} = 0$ in the initial and mid-sections). From a physical transport perspective, what does a decreasing Stokes number signify regarding the particle-fluid coupling, and how does this expla... | A decreasing Stokes number ($St_p \to 0$) signifies that the particle's inertial relaxation time is much shorter than the characteristic fluid flow time scale, meaning the particle is highly coupled to the fluid phase and its motion is dominated by viscous drag rather than inertia.
To minimize energy dissipation in t... | The question connects the visual trend in panel (a) (where decreasing $St_p$ leads to shallower, more elevated curves) with the fundamental physical definition of the Stokes number in multiphase transport. By identifying that low $St_p$ means strong viscous coupling and drag dominance, the candidate must explain that e... | very_hard | [] | Not supported with pagination yet | |
2608.16065:FIG1:Helical_MFC_in_SAF_SkL.tex | 2608.16065 | 2608.16065 | [] | FIG1 | Schematic of the Bilayer SAF-SkL texture. a The real-space SAF-SkL structure with lattice constant $d=40$ nm. The right panels show enlarged views of the magnetic unit cell in the two layers, as indicated by the dashed hexagons in the left panel. The arrows indicate the spin vectors. b First Brillouin zone of a single ... | By analyzing the color-coded out-of-plane magnetization ($m_z$) and the in-plane spin vector arrows in the enlarged magnetic unit cells of the top and bottom layers in (a), determine the precise relationship between the local magnetization vectors $\mathbf{m}_{\text{top}}(\mathbf{r})$ and $\mathbf{m}_{\text{bottom}}(\m... | The relationship is $\mathbf{m}_{\text{top}}(\mathbf{r}) = -\mathbf{m}_{\text{bottom}}(\mathbf{r})$ (perfectly antiparallel alignment at every spatial coordinate $\mathbf{r}$).
This is visually demonstrated by:
1. **Out-of-plane component ($m_z$):** The center of the top layer's unit cell is blue ($m_z = -1$) while th... | The question requires the user to perform a detailed visual inspection of both the colorbar (representing the out-of-plane magnetization $m_z$) and the vector arrows (representing the in-plane components) in the two enlarged hexagonal unit cells. By observing that both the out-of-plane and in-plane components are exact... | hard | [] | Not supported with pagination yet | |
2608.14502:fig:trends:main.tex | 2608.14502 | 2608.14502 | [] | fig:trends | Chemical trends in predicted entropy and volume. Predicted per-atom entropy $S$ and volume $V$ from TIP[UMA] at $T=1000$~K and $P=0$~GPa, across the filtered high-fidelity dataset. (a) Periodic table colored by each element's median predicted entropy. (b) Element-level median entropy versus median volume, colored by at... | Based on the density of states $N(\omega)$ in the clean limit (blue curves, corresponding to the lowest values of $\frac{\pi}{\sqrt{2}}\xi_{\text{BCS}}/\xi$), contrast the low-energy ($\omega \to 0$) behavior of the $s$-wave and $d$-wave states, and explain the physical origin of this difference in terms of the superco... | In the clean limit (blue curves):
1. **$s$-wave state (a):** The density of states $N(\omega)$ is strictly zero over a finite energy range around $\omega = 0$, forming a flat, U-shaped gap.
2. **$d$-wave state (b):** $N(\omega)$ decreases continuously and linearly to zero only at exactly $\omega = 0$, forming a V-shape... | The question requires the user to visually identify the difference in the shape of the gap around $\omega = 0$ for the blue curves (clean limit) in panels (a) and (b). In (a), there is a flat zero-DOS region (U-shape), while in (b), it is a V-shape. The user must then apply fundamental superconductivity theory to expla... | hard | [] | Not supported with pagination yet | |
2608.08492:fig:ledger:main.tex | 2608.08492 | 2608.08492 | [] | fig:ledger | Bias-, separation-, heat-, and mass-transfer-complete system accounting. a, Conditional incremental light-minus-dark power ledger. The green bar is additional chemical-product Gibbs free energy, the orange bar is ideal minimum product-separation work, the red bar is externally supplied electrical work, and the dark-gre... | Based on the break-even voltage curves in panel c, if the separation-work fraction increases from 10% to 50% at a fixed cell voltage of 2.42 V (indicated by the dotted line), how does the minimum required productive carrier utilization ($U$) change, and what thermodynamic trade-off does this trend represent? | To maintain a break-even condition at a fixed cell voltage of 2.42 V, increasing the separation-work fraction from 10% (green curve) to 50% (red curve) requires the minimum productive carrier utilization ($U$) to increase from approximately 0.34 to approximately 0.60.
This trend represents a thermodynamic trade-off wh... | By visually inspecting panel c, the intersection of the horizontal dotted line at 2.42 V with the 10% separation fraction curve (green) occurs at $U \approx 0.34$. The intersection with the 50% separation fraction curve (red) occurs at $U \approx 0.60$. Thermodynamically, as the energy required for downstream separatio... | hard | [] | Not supported with pagination yet | |
2608.19178:fig:Gamma_DSSF | 2608.19178 | Chiral bosonic mean-field Ansatz and spin dynamics in spin-1 Kitaev magnets | [
"cond-mat.str-el"
] | 2026-08-19T17:54:08Z | fig:Gamma_DSSF | Ground-state spin dynamics of the $S=1$ Kitaev-$$-$^$ model calculated within SBMFT using the $/2$-flux Ansatz for $K>0$. The upper row shows the dynamical spin structure factor $S(q,)$ along the momentum path for (a) $=^=-0.025$, (b) $0$, and (c) $0.025$, in units of $|K|$. Panels (d)--(f) show the corresponding energ... | How does the introduction of a non-zero symmetric off-diagonal exchange interaction $\Gamma = \Gamma'$ (comparing panels d and f to panel e) affect the relative intensity of the lowest-energy spin excitation peak (around $\omega/|K| \approx 0.15$) at the high-symmetry points $M$ (red curve) and $\Gamma'$ (green curve)? | Introducing a non-zero $\Gamma = \Gamma'$ (either positive or negative) suppresses the intensity of the lowest-energy peak at the $M$ point while enhancing it at the $\Gamma'$ point. Specifically, at $\Gamma = \Gamma' = 0$ (panel e), the peak intensity at $M$ is approximately 60 and at $\Gamma'$ is approximately 105. W... | By visually comparing the peak heights of the red ($M$) and green ($\Gamma'$) curves at the lowest energy excitation ($\omega/|K| \approx 0.15$) across panels (d), (e), and (f), we can identify the trend. In the absence of off-diagonal exchange (panel e), the spectral weight is more distributed between $M$ and $\Gamma'... | hard | [] | Not supported with pagination yet |
2608.19176:fig:tot | 2608.19176 | Effects of manufacturing tolerances on the performance of metamaterial microwave anti-reflection coatings | [
"astro-ph.IM",
"physics.optics"
] | 2026-08-19T17:52:39Z | fig:tot | Power integrated over the main lobe, with the impact of variations of reflection factored in (see dotted lines in Fig.\ fig:tra). The solid lines are quadratic polynomials fit over the data (transparent lines). | Based on the plotted quadratic fits, compare the rate of performance degradation (slope of the normalized power in the main lobe) of Alumina (blue curves) against Nylon (red/orange curves) and HDPE (green curves) as a function of the normalized deviation ($n\sigma/\lambda_0$). Which material exhibits the steepest decli... | Alumina (specifically the $\sigma = 15\ \mu\text{m}$ blue curve) exhibits the steepest decline (most rapid degradation) in normalized power, dropping from approximately $99.8\%$ at $0.03$ to below $99.2\%$ near $0.049$. This heightened sensitivity is due to Alumina's significantly higher refractive index ($n \approx 3.... | By visually inspecting the curves in the $0.03$ to $0.05$ range of the x-axis, the blue curve representing Alumina ($\sigma = 15\ \mu\text{m}$) has a much steeper negative slope than the green (HDPE) and red/orange (Nylon) curves. From a materials science perspective, Alumina has a much higher dielectric constant/refra... | very_hard | [] | Not supported with pagination yet |
2608.11421:fig:results-BeH2-CCSD(0):manuscript.tex | 2608.11421 | 2608.11421 | [] | fig:results-BeH2-CCSD(0) | Based on the total energy profile for the $C_{2v}$ insertion of Be into $\text{H}_2$ shown in the figure, identify the approximate geometry parameter value corresponding to the transition state (energy maximum). At a geometry parameter of 3.0, describe the relationship between the reference CCSD(0) energy and the vario... | The transition state (energy maximum) is located at a geometry parameter of approximately 2.75 to 3.0. At the geometry parameter value of 3.0, the reference CCSD(0) calculation (blue circle) yields the highest energy (approximately -15.475 Hartree), while all four FANPT approximations are clustered slightly below it (a... | By visually inspecting the energy curve, the peak (transition state of the insertion reaction) occurs between geometry parameters 2.5 and 3.0, peaking near 2.75-3.0. Zooming in on the geometry parameter of 3.0, the blue circle representing the reference CCSD(0) wavefunction is visibly higher on the y-axis (closer to -1... | hard | [] | Not supported with pagination yet | ||
2608.19057:Fig_1 | 2608.19057 | Distinct Modes of Quantum Information Transfer in Power-Law Long-Range Spin Networks | [
"quant-ph",
"cond-mat.other",
"physics.comp-ph"
] | 2026-08-19T15:54:46Z | Fig_1 | Maximal average fidelity as a function of total number of sites $N [4,60]$ for $$-chains, evaluated over a total time window $t J_0 = N/2$, corresponding to twice the speed limit for perfect state transfer (PST) in nearest-neighbour systems . Horizontal (dashed) line corresponds to the limit in which there is quantum a... | Based on the provided plot, analyze the impact of the power-law exponent $\alpha$ on the preservation of quantum advantage (defined by the dashed line at $\max(\langle F(t) \rangle) \approx 0.67$) as the system size $N$ scales from 4 to 60. Specifically, contrast the behavior of the stronger long-range regimes ($\alpha... | For weaker long-range interactions ($\alpha = 3$ and $\alpha = 6$), the maximal average fidelity remains consistently high and well above the classical threshold of $\approx 0.67$ across the entire range of system sizes up to $N = 60$. In contrast, stronger long-range interactions ($\alpha = 1$ and $\alpha = 2$) lead t... | By visually inspecting the bar chart, the dashed line representing the classical limit of communication is located at $y \approx 0.67$. For $\alpha = 3$ (green) and $\alpha = 6$ (red), the bars remain safely above this line for all $N \in [4, 60]$. For $\alpha = 2$ (orange), the bars cross below the dashed line at $N =... | hard | [] | Not supported with pagination yet |
2608.12586:fig:warped:RHG_V13.tex | 2608.12586 | 2608.12586 | [] | fig:warped | Trigonal warping and finite pair momentum preserve $$ throughout the scanned direct-gap regime, but can destroy quantization by closing the zero-energy gap. (a)~$-|_a|$ in momentum space at warping $w=4$ and $|Q|=0.10$, with $=_s^2+||^2$. Black: the Bogoliubov Fermi surface $=|_a|$. Blue: the pairing-relevant set $_s=0... | Based on the phase diagram in panel (c) for $q=0.35$, analyze the effect of increasing the trigonal warping parameter $w$ from 0 to 5 at a constant pair momentum $|Q| = 0.15$. At what approximate value of $w$ does the system cross the Bogoliubov-Fermi-surface (BFS) boundary, what physical transition does this boundary ... | 1. **Approximate crossing value:** The system crosses the BFS boundary (black contour) at $w \approx 3.2$ (acceptable range: $3.0$ to $3.4$).
2. **Physical transition:** The boundary represents a transition from a gapped topological state (where $\delta_{\text{BdG}} > 0$, shown in blue, allowing a measurable quantized ... | By visually inspecting panel (c) at $|Q| = 0.15$ on the vertical axis and tracing horizontally:
- The black solid line representing the BFS boundary is intersected at $w \approx 3.2$.
- To the left of this line ($w < 3.2$), the color is blue, indicating a positive gap parameter $\delta_{\text{BdG}} > 0$ (gapped phase)... | hard | [] | Not supported with pagination yet | |
2608.16350:fig:appendix_anderson1D:UTe2paper_ver8.tex | 2608.16350 | 2608.16350 | [] | fig:appendix_anderson1D | Band dispersions of the one-dimensional Anderson model discussed in Appendix~app:continuum_onset. The dashed gray curves show the unhybridized bands, and the solid curves show the hybridized bands colored by the $f$-orbital weight. Panels (a) and (b) correspond to the same-sign and opposite-sign hopping cases, respecti... | Based on the band dispersions of the 1D Anderson model shown in the figure, explain the physical origin of the difference in the minimum interband particle-hole excitation energy ($\omega$) at the Fermi level ($E=0$) between the same-sign hopping case (a) and the opposite-sign hopping case (b). | In the same-sign hopping case (a), the hybridization is symmetric (even parity), and the hybridized bands cross the Fermi level ($E=0$) at symmetric $k$-points. This allows a direct, zero-energy ($\omega = 0.000$) interband transition between the occupied state of one band and the unoccupied state of the other at the F... | By visually comparing panels (a) and (b), we observe that in (a), the black dots representing the particle-hole excitation lie exactly on the Fermi level ($E=0$), yielding $\omega = 0.000$. In (b), the hybridization gap is asymmetric/tilted due to the opposite-sign (odd-parity) hopping. This prevents the Fermi level fr... | very_hard | [] | Not supported with pagination yet | |
2608.07238:fig:fig6:main.tex | 2608.07238 | 2608.07238 | [] | fig:fig6 | Local density of states $N()=_k A(k,)$ versus $_BCS/$, revealing the onset of the charge pseudogap and coherence peak. The background scattering strength is set to $_0/_0=10^-2$. | Compare the low-energy ($\omega \to 0$) behavior of the local density of states $N(\omega)$ between the s-wave (a) and d-wave (b) cases in the limit represented by the blue curves ($\frac{\pi}{\sqrt{2}}\xi_{BCS}/\xi \approx 10^{-2}$). Explain how this difference relates to the symmetry of their respective superconducti... | In the weak-scattering/clean limit (blue curves):
1. **s-wave (a):** $N(\omega)$ is fully suppressed to zero over a finite energy range ($|\omega/|\Delta_0|| < 1$), forming a flat-bottomed U-shaped gap. This occurs because the s-wave order parameter is isotropic and fully gaps the entire Fermi surface.
2. **d-wave (b)... | The question requires identifying the physical difference in the low-energy gap structure (U-shape vs. V-shape) from the visual data of the blue curves in panels (a) and (b), and explaining this using core superconductivity concepts (isotropic gap vs. nodal gap structure of s-wave and d-wave order parameters). | hard | [] | Not supported with pagination yet | |
2608.17850:fig:3:main_18Aug2026.tex | 2608.17850 | 2608.17850 | [] | fig:3 | The ``sheathing'' procedure: hexagonally packed cylindrical monolayers are added around dense cylindrical packings resulting in highly efficient packings at larger cylinder radii. a) Visualization of the sheathing technique, shown for an initial packing (the inner layer) at $2R/$=2.2 with the first sheath at $2R/=$4.2,... | Based on the packing fraction ($\phi$) vs. normalized cylinder diameter ($2R/\sigma$) curves in Figure 3b, compare the packing efficiency of the 'Single sheath' (magenta) and 'Double sheath' (blue) configurations in their overlapping region of $2R/\sigma \approx 5.5$ to $7.0$. Which configuration achieves a higher pack... | In the overlapping region of $2R/\sigma \approx 5.5$ to $7.0$, the 'Single sheath' (magenta) configuration consistently achieves a higher packing fraction than the 'Double sheath' (blue) configuration.
This difference is driven by geometric constraints and interfacial mismatch. Adding a second sheath layer introduces... | By visually inspecting Figure 3b, the magenta dots (Single sheath) lie clearly above the blue dots (Double sheath) in the overlapping range of $2R/\sigma$ from approximately 5.5 to 7.0. From a materials science and packing geometry perspective, adding concentric layers (sheaths) around a cylindrical core introduces geo... | hard | [] | Not supported with pagination yet | |
2608.18729:fig:Figure3:main.tex | 2608.18729 | 2608.18729 | [] | fig:Figure3 | Relativistic band structures within HSE of XMg$_2$Bi$_2$ along the high-symmetry path M--K--$$--A--L for (a) X = Ba, (b) X = Ca, (c) X=Sr, and (d) X = Yb. The energy range spans from $-2$ to $+2$~eV, with the Fermi level set to zero, indicated by a dashed line. The Fermi level is set on the top of the valence band. | Based on the relativistic HSE band structures shown, which of the four $X\text{Mg}_2\text{Bi}_2$ compounds exhibits the smallest fundamental band gap, and what is the nature (direct or indirect) and approximate location in $k$-space of this minimum gap? | $\text{YbMg}_2\text{Bi}_2$ (d) exhibits the smallest fundamental band gap. The gap is direct and is located at the high-symmetry $\Gamma$ point. | By visually inspecting the four panels at the high-symmetry $\Gamma$ point:
- In (a) $\text{BaMg}_2\text{Bi}_2$, the conduction band minimum (CBM) at $\Gamma$ is at $\approx 0.2$ eV and the valence band maximum (VBM) is at $\approx -0.1$ eV, yielding a gap of $\approx 0.3$ eV.
- In (b) $\text{CaMg}_2\text{Bi}_2$, the C... | hard | [] | Not supported with pagination yet | |
2608.19041:si:fig-v100-crystal-scan | 2608.19041 | Universal Machine-learning Molecular Dynamics at the Speed of Empirical Potentials | [
"physics.chem-ph",
"cond-mat.mtrl-sci",
"physics.comp-ph"
] | 2026-08-19T15:34:40Z | si:fig-v100-crystal-scan | Whole-step throughput across crystal sizes on a 16-GB NVIDIA Tesla V100-SXM2 GPU. a, Diamond carbon; b, FCC copper. Curves connect arithmetic means from three independent scans at each exact realized atom count. DPA4C and the empirical potentials use LAMMPS/Kokkos, whereas NEP89 uses native GPUMD; each empirical potent... | Based on the throughput curves for Diamond C (158 neighbors/atom) and FCC Cu (78 neighbors/atom), compare the performance of the NEP89 potential (black dashed line with 'x' markers) relative to the DPA4C 'Plus' potential (dark blue line with '+' markers) at small system sizes (< 1,000 atoms) versus large system sizes (... | At small system sizes (< 1,000 atoms), NEP89 exhibits lower throughput than DPA4C 'Plus' (e.g., below 0.1 M atoms/s vs. ~0.1-0.2 M atoms/s). However, at large system sizes (> 100,000 atoms), NEP89's throughput plateaus significantly higher than 'Plus' (reaching ~3 M atoms/s vs. ~1 M atoms/s in Diamond C, and ~7 M atoms... | By visually inspecting the curves, at N < 1,000 atoms, the black dashed line (NEP89) lies below the dark blue line with '+' markers (Plus) in both panels. At N > 100,000 atoms, the black dashed line is well above the dark blue line (and even crosses the 'Air' and 'Neo' curves). The transition from a latency-bound regim... | hard | [] | Not supported with pagination yet |
2608.16414:fig:Fig3:arXiv_manuscript.tex | 2608.16414 | 2608.16414 | [] | fig:Fig3 | Orientation-selective restoration of symmetric Josephson interference. (a,b) Interference patterns measured at several in-plane field strengths. (a) For an in-plane field parallel to the current ($=0^$), the side-lobe asymmetry increases with $B_in$, accompanied by suppression of the central lobe and an eventual evolut... | By comparing the experimental Josephson interference patterns at the highest measured in-plane field ($B_{\text{in}} = 70\text{ mT}$) in panels (a) and (b), describe the difference in the critical current behavior at zero perpendicular field ($B_z = 0$) between the $\theta = 0^\circ$ and $\theta = 90^\circ$ configurati... | At $B_{\text{in}} = 70\text{ mT}$, the configuration with $\theta = 0^\circ$ (parallel to current) shows a severe suppression of the central lobe at $B_z = 0$, resulting in a local minimum or a highly suppressed peak, whereas the $\theta = 90^\circ$ (perpendicular to current) configuration robustly maintains its maximu... | The question requires the user to visually inspect the $70\text{ mT}$ curves (purple) in panels (a) and (b) at $B_z = 0$. In (a) ($\theta = 0^\circ$), the central peak is suppressed and exhibits high-frequency SQUID-like oscillations, whereas in (b) ($\theta = 90^\circ$), the central peak remains dominant and symmetric... | hard | [] | Not supported with pagination yet | |
2608.19185:fig:phase_diagram_and_multiQ_criterion:arxiv_submission.tex | 2608.19185 | Unconventional bond- and current-density waves on hexagonal lattices | [
"cond-mat.str-el"
] | 2026-08-19T17:55:44Z | fig:phase_diagram_and_multiQ_criterion | Phase diagram as a function of $T$ and $$. The blue and green (gray) line show the critical temperature $T_c$ for the CDW instability for $Q_i=K_i/4$ ($Q_i=M_i$) which transform according to the irreps $_2^+$ with $d^xy$ form factor and $_1^-$ with $f$ form factor, respectively. The gray area indicates the region where... | Based on the phase diagram and the provided criterion for the multi-Q vs. single-Q transition, what is the predicted nature of the charge density wave (CDW) order for the $d^{xy} (\Lambda_2^+)$ instability at $\mu \approx 1.7$, and how does it contrast with the predicted order for the $f (\Lambda_1^-)$ instability at h... | At $\mu \approx 1.7$, the $d^{xy} (\Lambda_2^+)$ instability lies in a region with a dark red background, indicating $2\beta_1 - \beta_2 > 0$, which corresponds to a multi-Q CDW order. In contrast, at $\mu \approx 2.4$ and $T < 0.1$, the region near the $f (\Lambda_1^-)$ instability has a light blue/cyan background, in... | By inspecting the colorbar on the right, positive values of $2\beta_1 - \beta_2$ are represented by red/brown hues, while negative values are represented by blue/dark blue hues. The caption states that $2\beta_1 - \beta_2 > 0$ determines a multi-Q order, whereas $2\beta_1 - \beta_2 < 0$ determines a single-Q order. At ... | hard | [] | Not supported with pagination yet |
2608.18267:fig:convergence:curr_main_v5.tex | 2608.18267 | 2608.18267 | [] | fig:convergence | Convergence of the spectral function in the cloud parameters $(M, N, M_t, N_t)$ at $= 1$, $= 1$, for $T/= 0.4$ (top row) and $T/= 1.0$ (bottom row), at $k = 0$ (left column) and $k = $ (right column). Curves are labeled $M N$-$M_t N_t$. The polaron peak is well-converged at intermediate temperature for $M N$-$M_t N_t =... | Based on the spectral function $A(k, \omega)$ plotted for $T/\Omega = 0.4$ and $k = 0$, which parameter truncation among the tested configurations causes the most significant deviation (spurious peak splitting and shift) in the multi-phonon satellite region between $\omega/t = -3.8$ and $-3.3$ compared to the converged... | The configuration is **39-25** (represented by the olive/yellow-green curve), and the reduced parameter is **$M_t$** (which is reduced from 3 to 2). | By visually inspecting the satellite region between $\omega/t = -3.8$ and $-3.3$, the olive curve (labeled 39-25) shows the most pronounced deviation from the converged black curve (39-35). Specifically, it exhibits a shifted peak near $-3.65$ and a distinct shape mismatch. Comparing the label '39-25' to the reference ... | hard | [] | Not supported with pagination yet |
Materials Figure QA
This repository contains 250 figure-grounded multimodal question-answer pairs from recent materials-related arXiv papers. Each item requires interpreting a rendered figure and applying materials-science reasoning. Figures with aspect ratio greater than 4:1 were removed; retained figures were downsampled so their longest dimension is at most 2048 pixels.
The filtered split preserves the original deterministic split:
validation: 128 examplestest: 122 examples
Each split contains a typed Parquet file (validation.parquet or test.parquet) for the Hugging Face viewer, plus an images/ directory. The Parquet schema exposes image, question, answer, caption, reasoning, difficulty, and provenance columns. The JSONL image_path values are relative to the split directory.
To load a split with the Hugging Face datasets library:
from datasets import load_dataset
dataset = load_dataset("gneubig/materials-figure-qa", data_files={"validation": "validation.parquet", "test": "test.parquet"})
print(dataset["validation"].features)
Run inference with an arbitrary LLM
infer_materials_qa.py uses an OpenAI-compatible chat-completions endpoint. It sends each question with its figure as a base64 image data URL and writes JSONL predictions. It can be used with OpenAI-compatible hosted services or a local server such as vLLM, LM Studio, or Ollama's OpenAI-compatible endpoint.
export OPENAI_API_KEY=...
python infer_materials_qa.py \
--data /path/to/materials-figure-qa/validation \
--output predictions/validation.jsonl \
--model YOUR_VISION_MODEL \
--base-url https://api.openai.com/v1
For a local endpoint:
export LOCAL_API_KEY=none
python infer_materials_qa.py \
--data ./validation \
--output predictions/validation.jsonl \
--model Qwen/Qwen2.5-VL-7B-Instruct \
--base-url http://localhost:8000/v1 \
--api-key-env LOCAL_API_KEY
Semantic evaluation results
An independent multimodal judge scored retained predictions on a 0–3 scale: 3 fully correct, 2 mostly correct, 1 partially correct, and 0 incorrect. These scores reuse cached answers and verdicts after removing the five filtered test items.
| Model | Dev strict | Dev 2+ | Test strict | Test 2+ |
|---|---|---|---|---|
| GPT-5.5 | 68.8% | 79.7% | 59.3% | 73.1% |
| Gemini 3.5 Flash | 33.9% | 48.0% | 42.0% | 51.3% |
| Claude Sonnet 4.6 | 28.3% | 51.2% | 26.8% | 54.5% |
| Claude Opus 4.6 | 24.8% | 52.0% | 16.2% | 48.6% |
| Gemini 2.5 Pro | 5.5% | 11.7% | 5.1% | 14.5% |
strict counts only score 3; 2+ counts scores 2 or 3. The verifier had six errors overall; denominators above use scored retained predictions.
Run both splits with the same model:
python infer_materials_qa.py --data ./validation --output predictions/validation.jsonl --model YOUR_MODEL --base-url YOUR_BASE_URL
python infer_materials_qa.py --data ./test --output predictions/test.jsonl --model YOUR_MODEL --base-url YOUR_BASE_URL
The inference script is resumable: existing candidate_id values in the output are skipped.
Calculate scores
score_materials_qa.py provides a deterministic lexical baseline. It reports:
exact_match: normalized string equalitytoken_f1: token-overlap F1 between prediction and reference answer
The deterministic scorer requires predictions whose candidate_id values match the split records. It reports only available predictions; missing calls reduce availability and are not counted as correct. Exact match is intentionally strict and is usually inappropriate for free-form scientific answers, so token F1 is included as a lexical baseline. The included historical evaluation files are not part of the uploaded dataset and should not be interpreted as complete dev/test benchmark results.
availability: fraction of split items with a successful prediction
python score_materials_qa.py \
--data-root /path/to/materials-figure-qa \
--predictions predictions/all.jsonl \
--output scores.json
Predictions can be combined into one JSONL file, or the command can be run separately for each split. Prediction records must contain candidate_id, model, and answer.
Interpreting the scores
The deterministic metrics are useful for regression testing and exact-answer tasks, but they are not a complete measure of scientific correctness. Many answers have valid paraphrases and require visual and domain reasoning. For a stronger benchmark, supplement these metrics with expert review or an independent multimodal judge. Report API availability separately from answer quality.
Data provenance and qualification
The examples were extracted from LaTeX figure-label references. The current selection retained examples whose automated verification marked the question and reference answer valid, and where at least two of five evaluated multimodal models received a score of 0 or 1. This automated filtering is intended to identify difficult examples for expert review; it should not be treated as a substitute for expert gold-label validation.
- Downloads last month
- 108