Dataset for arXiv:2501.03735 - Thouless approach in transport in integrable and perturbed easy-axis Heisenberg chains

The dataset used to generate figures from arXiv:2501.03735, both in the main text and Supplemental Material.

1. Fig 1.

   • fig1a.csv - three columns, containing system size $L$, anisotropy $\Delta$ and average square of diagonal spin current matrix elements $\overline{j_{nn}^2}$, obtained from calculations in grand canonical ensemble
   • fig1b.csv - same as fig1a.csv, but for canonical ensemble
   • fig1.pdf - figure, as presented in the main text; solid lines in panel (a) are obtained from analytical calculations and are not included in this dataset

2. Fig 2.

   • fig2a.csv - five columns, containing anisotropy $\Delta$, perturbation $\Delta_2$, inverse of mean level spacing $1/\Delta \epsilon$, system size $L$ and level sensitivity in canonical ensemble $R_{CE}$
   • fig2bcd.csv - four columns, containing system size $L$, anisotropy $\Delta$, perturbation $\Delta_2$ and level sensitivity in canonical ensemble $R_{CE}$, for broader range of $\Delta$ and $\Delta_2$
   • fig2.pdf - figure, as presented in the main text

3. Fig 3.

   • fig3a.csv - four columns, containing system size $L$, perturbation $\Delta_2$, gap ratio $r$ and off-diagonal to diagonal matrix elements ratio $Y$
   • fig3b.csv - three columns, containing system size $L$, perturbation $\Delta_2$ and kurtosis of diagonal matrix elements $K$
   • fig3.pdf - figure, as presented in the main text

4. Fig 4.

   • fig4.csv - four columns, containing system size $L$, anisotropy $\Delta$, perturbation $\Delta_2$, and spin conductivity $\sigma_{CE}$
   • fig4.pdf - figure, as presented in the paper

5. Fig S1.

   • sup_fig1.csv - data analogous to fig2bcd.csv, but for different perturbation $J_2$
   • sup_fig1.pdf - figure, as presented in the Supplemental Material

6. Fig S2.

   • sup_fig2.csv - five columns, analogous to fig3a.csv + kurtosis $K$, but for different perturbation $J_2$
   • sup_fig2.pdf - figure, as presented in the Supplemental Material

7. Fig S3.

   • sup_fig3.csv - analogous to fig4.csv, but for different perturbation $J_2$
   • sup_fig3.pdf - figure, as presented in the Supplemental Material