Mobility edge of Stark many-body localization
L Zhang, Yongguan Ke, Wenjie Liu, Chaohong Lee
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.
Topics & Concepts
Delocalized electronScalingPhysicsAnderson localizationQuantum entanglementErgodic theoryFermionQuantum mechanicsEntropy (arrow of time)Lattice (music)Condensed matter physicsQuantumStatistical physicsMathematicsGeometryAcousticsMathematical analysisQuantum many-body systemsOpinion Dynamics and Social InfluenceModel Reduction and Neural Networks