Mobility edge of Stark many-body localization
- URL: http://arxiv.org/abs/2009.08357v2
- Date: Fri, 18 Sep 2020 14:26:33 GMT
- Title: Mobility edge of Stark many-body localization
- Authors: Li Zhang, Yongguan Ke, Wenjie Liu, and Chaohong Lee
- Abstract summary: We investigate many-body localization of interacting spinless fermions in a one-dimensional disordered and tilted lattice.
Fermions undergo energy-dependent transitions from ergodic to Stark many-body localization driven by the tilted potential.
In the Stark many-body localization, the entanglement entropy obeys the area law scaling, in analogy to that in the conventional many-body localization.
- Score: 4.960482661973871
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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