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arXiv · 2009.08357

Mobility edge of Stark many-body localization

Li Zhang·Yongguan Ke·Wenjie Liu·Chaohong Lee
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Abstract

We investigate many-body localization of interacting spinless fermions in a one-dimensional disordered and tilted lattice. The fermions undergo energy-dependent transitions from ergodic to Stark many-body localization driven by the tilted potential, which are manifested by the appearance of mobility edges between delocalized states and Stark many-body localized states even when the disorder is weak. We can concretely diagnose these transitions rather than crossovers by finite-size scaling of energy-level statistics. Moreover, in the Stark many-body localization, the entanglement entropy obeys the area law scaling, in analogy to that in the conventional many-body localization.

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Li Zhang, Yongguan Ke, Wenjie Liu, Chaohong Lee. 2020-09-18. Mobility edge of Stark many-body localization. https://doi.org/10.1103/physreva.103.023323

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