| 07 X | (Jagiellonian University) Emergence of distinguishability in quantum statistics of strongly correlated fermions Gdzie: MS Teams [ZOA-test], 12:15Seminarium Zakładowe Online: [link] |
We analyze the finite-size scaling of the average gap-ratio and the entanglement entropy across the many-body localization (MBL) transition in one dimensional Heisenberg spin-chain with quasi-periodic (QP) potential. By using the recently introduced cost-function approach, we compare different scenarios for the transition using exact diagonalization of systems up to 22 lattice sites. Our findings suggest that the MBL transition in the QP Heisenberg chain belongs to the class of Berezinskii-Kosterlitz-Thouless (BKT) transition, the same as in the case of uniformly disordered systems as advocated in recent studies. Moreover, we observe that the critical disorder strength shows a clear sub-linear drift with the system-size as compared to the linear drift seen in random disordered models, suggesting that the finite-size effects in the MBL transition for the QP systems are less severe than that in the random disordered scenario. Moreover, deep in the ergodic regime, we find an unexpected double-peak structure of distribution of on-site magnetizations that can be traced back to the strong correlations present in the QP potential.
[Parent Directory]| entropies | DIR | The half-chain Entanglement Entropies($\mathcal{S}$) along with the corresponding energy eigenvaues for different disorder realizations. |
| r_values | DIR | Average level spacings($r$) for the quasi-periodic xxz model. |
| spins | DIR | Spins ($S_z^i$) values at each site for the QP disordered xxz model. |
