Topology and many-body localization

Krishna, Akshay

doi:10.1016/J.AOP.2021.168438

Topology and many-body localization

Journal Article · 15 December 2021 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2021.168438· OSTI ID:23183188

Krishna, Akshay ^[1]

Department of Electrical Engineering, Princeton University, Princeton NJ 08544 (United States)

We discuss the problem of localization in two dimensional electron systems in the quantum Hall (single Landau level) regime. After briefly summarizing the well-studied problem of Anderson localization in the non-interacting case, we concentrate on the problem of disorder induced many-body localization (MBL) in the presence of electron–electron interactions using numerical exact diagonalization and eigenvalue spacing statistics as a function of system size. We provide evidence showing that MBL is not attainable in a single Landau level with short range (white noise) disorder in the thermodynamic limit. We then study the interplay of topology and localization, by contrasting the behavior of topological and nontopological subbands arising from a single Landau level in two models — (i) a pair of extremely flat Hofstadter bands with an optimally chosen periodic potential, and (ii) a Landau level with a split-off nontopological impurity band. Both models provide convincing evidence for the strong effect of topology on the feasibility of many-body localization as well as slow dynamics starting from a nonequilibrium state with charge imbalance.

OSTI ID:: 23183188

Journal Information:: Annals of Physics, Vol. 435; Other Information: Copyright (c) 2021 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916

Country of Publication:: United States

Language:: English

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