Mobility edge of Stark many-body localization
Quantum Physics
2021-03-03 v2
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.
Keywords
Cite
@article{arxiv.2009.08357,
title = {Mobility edge of Stark many-body localization},
author = {Li Zhang and Yongguan Ke and Wenjie Liu and Chaohong Lee},
journal= {arXiv preprint arXiv:2009.08357},
year = {2021}
}