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

• URL: http://arxiv.org/abs/2205.15339v2
• Date: Fri, 20 Jan 2023 09:26:43 GMT
• Title: Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge
• Authors: Ke Huang, DinhDuy Vu, Xiao Li, and S. Das Sarma
• Abstract summary: We study the role of next-nearest-neighbor hopping $t$ in many-body localization. For strong interactions, the NNN hopping produces qualitatively new physics.
• Score: 5.779614095393776
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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