Skip to main content

Many-body localization in Landau-level subbands

Author(s): Krishna, A; Ippoliti, M; Bhatt, Ravindra N

To refer to this page use:
Abstract: © 2019 American Physical Society. We explore the problem of localization in topological and nontopological nearly-flat subbands derived from the lowest Landau level, in the presence of quenched disorder and short-range interactions. We consider two models: a suitably engineered periodic potential and randomly distributed pointlike impurities. We perform numerical exact diagonalization on a torus geometry and use the mean level spacing ratio (r) as a diagnostic of ergodicity. For topological subbands, we find there is no ergodicity breaking in both the one- and two-dimensional thermodynamic limits. For nontopological subbands, in contrast, we find evidence of an ergodicity breaking transition at finite disorder strength in the one-dimensional thermodynamic limit. Intriguingly, indications of similar behavior in the two-dimensional thermodynamic limit are found as well. This constitutes a novel, continuum setting for the study of the many-body localization transition in one and two dimensions.
Publication Date: 14-Jan-2019
Citation: Krishna, A, Ippoliti, M, Bhatt, RN. (2019). Many-body localization in Landau-level subbands. Physical Review B, 99 (4), 10.1103/PhysRevB.99.041111
DOI: doi:10.1103/PhysRevB.99.041111
ISSN: 2469-9950
EISSN: 2469-9969
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.