Mobility edge of Stark many-body localization

Li Zhang; Yongguan Ke; Wenjie Liu; Chaohong Lee

doi:10.1103/PhysRevA.103.023323

Mobility edge of Stark many-body localization

Li Zhang, Yongguan Ke^*, Wenjie Liu, Chaohong Lee^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

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.

Original language	English
Article number	023323
Journal	Physical Review A
Volume	103
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.103.023323
Publication status	Published - Feb 2021

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title = "Mobility edge of Stark many-body localization",

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.",

author = "Li Zhang and Yongguan Ke and Wenjie Liu and Chaohong Lee",

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AU - Liu, Wenjie

AU - Lee, Chaohong

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AB - 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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Mobility edge of Stark many-body localization

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