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

Ke Huang; DinhDuy Vu; Xiao Li; S. Das Sarma

doi:10.1103/PhysRevB.107.035129

Author(s)

Ke Huang
DinhDuy Vu
Xiao Li
S. Das Sarma

Related Research Unit(s)

Detail(s)

Original language	English
Article number	035129
Journal / Publication	Physical Review B
Volume	107
Issue number	3
Publication status	Published - 15 Jan 2023

Link(s)

DOI	DOI https://doi.org/10.1103/PhysRevB.107.035129 Final Published version
	Check@CityULib
Attachment(s)	Documents 130787825.pdf Final Published version, 1.34 MB, PDF Publisher's Copyright Statement COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: Huang, K., Vu, D., Li, X., & Das Sarma, S. (2023). Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge. Physical Review B, 107(3), [035129]. https://doi.org/10.1103/PhysRevB.107.035129. The copyright of this article is owned by American Physical Society.
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85146726466&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(5236f7de-9a3f-4d9a-984c-5f6a23443b40).html

Abstract

We study many-body localization (MBL) in the quasiperiodic t₁-t₂ model, focusing on the role of next-nearestneighbor (NNN) hopping t₂, 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 << t₁), this model is always nonthermal. For intermediate interactions (U ∼ t₁), the thermalMBL 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 >> t₁), 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.