Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge

Abstract

We study many-body localization (MBL) in the quasiperiodic $t_1$-$t_2$ model, focusing on the role of next-nearest-neighbor (NNN) hopping $t_2$, which introduces a single-particle mobility edge. The calculated phase diagram can be divided into three distinct regimes, depending on the strength of the short-range interaction $U$. For weak interactions ($U\ll t_1$), this model is always nonthermal. For intermediate interactions ($U\sim t_1$), the thermal-MBL phase transition in this model is qualitatively the same as that of the Aubry-Andre (AA) model, which is consistent with existing experimental observations. For strong interactions $(U\gg t_1)$, the NNN hopping produces qualitatively new physics because it breaks down the Hilbert space fragmentation present in the AA model. The NNN hopping is thus irrelevant when the interaction is intermediate but relevant for strong interactions.

12 pages, 13 figures. Comments are welcome

References in corpus (14)

• Many body localization and thermalization in quantum statistical mechanics
• The Kernel Polynomial Method
• Many-Body Localization in a Quasiperiodic System
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Avalanches and many-body resonances in many-body localized systems
• Dynamical obstruction to localization in a disordered spin chain
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
• Can we study the many-body localisation transition?
• Markovian baths and quantum avalanches
• Universality in the onset of quantum chaos in many-body systems
• Localized systems coupled to small baths: from A${}_{nderson}$ to Z${}_{eno}$
• Many-body localization in a fragmented Hilbert space
• Fermionic many-body localization for random and quasiperiodic systems in the presence of short- and long-range interactions

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• Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
• Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
• Interaction-enhanced many body localization in a generalized Aubry-Andre model
• Interacting quasiperiodic spin chains in the prethermal regime
• Entanglement growth and information capacity in a quasiperiodic system with a single-particle mobility edge
• Statistics of noninteracting many-body fermionic states: The question of a many-body mobility edge
• Unsupervised machine learning for detecting mutual independence among eigenstate regimes in interacting quasiperiodic chains
• Many-body localization in a slowly varying potential