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Transport in the nonergodic extended phase of interacting quasiperiodic systems

Ghosh, S and Gidugu, J and Mukerjee, S (2020) Transport in the nonergodic extended phase of interacting quasiperiodic systems. In: Physical Review B, 102 (22).

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Official URL: https://dx.doi.org/10.1103/PhysRevB.102.224203


We study the transport properties and the spectral statistics of a one-dimensional closed quantum system of interacting spinless fermions in a quasiperiodic potential which produces a single-particle mobility edge in the absence of interaction. For such systems, it has been shown that the many-body eigenstates can be of three different kinds: extended and eigenstate thermalization hypothesis (ETH) obeying (thermal), localized and ETH violating (many body localized), and extended and ETH violating (nonergodic extended). Here we investigate the nonergodic extended phase from the point of view of level spacing statistics and charge transport. We calculate the dc conductivity and the low-frequency conductivity �(�) and show that both are consistent with subdiffusive transport. This is contrasted with diffusive transport in the thermal phase and blocked transport in the MBL phase. © 2020 American Physical Society.

Item Type: Journal Article
Publication: Physical Review B
Publisher: American Physical Society
Additional Information: Copyright to this article belongs to American Physical Society
Keywords: Closed quantum system; Dc conductivity; Diffusive transport; Quasiperiodic potential; Quasiperiodic systems; Single particle; Spectral statistics; Spinless fermion, Quantum chemistry
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 02 Feb 2021 07:19
Last Modified: 02 Feb 2021 07:19
URI: http://eprints.iisc.ac.in/id/eprint/67711

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