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|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.|
|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|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||Physical Review B|
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