Transport properties across the many-body localization transition in quasiperiodic and random systems

Understand

We theoretically study transport properties in one-dimensional interacting quasiperiodic systems at infinite temperature.

• We compare and contrast the dynamical transport properties across the many-body localization (MBL) transition in quasiperiodic and random models.
• Using exact diagonalization we compute the optical conductivity $\sigma(\omega)$ and the return probability $R(\tau)$ and study their average low-frequency and long-time power-law behavior, respectively.
• We show that the low-energy transport dynamics is markedly distinct in both the thermal and MBL phases in quasiperiodic and random models and find that the diffusive and MBL regimes of the quasiperiodic model are more robust than those in the random system.