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arXiv · 1810.10608

Many-body localization in Landau level subbands

Akshay Krishna·Matteo Ippoliti·R. N. Bhatt
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Abstract

We explore the problem of localization in topological and non-topological 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 point-like impurities. We perform numerical exact diagonalization on a torus geometry and use the mean level spacing ratio $\langle r \rangle$ 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 non-topological subbands, in constrast, 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, $\textit{continuum}$ setting for the study of the many-body localization transition in one and two dimensions.

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Akshay Krishna, Matteo Ippoliti, R. N. Bhatt. 2018-10-24. Many-body localization in Landau level subbands. https://doi.org/10.1103/physrevb.99.041111

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