Mobility edge of Stark many-body localization

被引：27

作者：

Zhang, Li ^{[1
,2
,3
]}

Ke, Yongguan ^{[1
,2
,4
]}

Liu, Wenjie ^{[1
,2
,3
]}

Lee, Chaohong ^{[1
,2
,3
]}

机构：

[1] Sun Yat Sen Univ, Guangdong Prov Key Lab Quantum Metrol & Sensing, Zhuhai Campus, Zhuhai 519082, Peoples R China

[2] Sun Yat Sen Univ, Sch Phys & Astron, Zhuhai Campus, Zhuhai 519082, Peoples R China

[3] Sun Yat Sen Univ, State Key Lab Optoelect Mat & Technol, Guangzhou Campus, Guangzhou 510275, Peoples R China

[4] Australian Natl Univ, Nonlinear Phys Ctr, Res Sch Phys, Canberra, ACT 2601, Australia

来源：

PHYSICAL REVIEW A | 2021年 / 103卷 / 02期

基金：

中国国家自然科学基金;

关键词：

ELECTRONS; DIFFUSION; DYNAMICS; FERMIONS; ABSENCE;

D O I：

10.1103/PhysRevA.103.023323

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：8

共 61 条

[1] Colloquium: Many-body localization, thermalization, and entanglement [J].

Abanin, Dmitry A. ;

Altman, Ehud ;

Bloch, Immanuel ;

Serbyn, Maksym .

REVIEWS OF MODERN PHYSICS, 2019, 91 (02)

[2] SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].

ABRAHAMS, E ;

ANDERSON, PW ;

LICCIARDELLO, DC ;

RAMAKRISHNAN, TV .

PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676

[3] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].

ANDERSON, PW .

PHYSICAL REVIEW, 1958, 109 (05) :1492-1505

[4] Distribution of the Ratio of Consecutive Level Spacings in Random Matrix Ensembles [J].

Atas, Y. Y. ;

Bogomolny, E. ;

Giraud, O. ;

Roux, G. .

PHYSICAL REVIEW LETTERS, 2013, 110 (08)

[5] Unbounded Growth of Entanglement in Models of Many-Body Localization [J].

Bardarson, Jens H. ;

Pollmann, Frank ;

Moore, Joel E. .

PHYSICAL REVIEW LETTERS, 2012, 109 (01)

[6] Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states [J].

Basko, DM ;

Aleiner, IL ;

Altshuler, BL .

ANNALS OF PHYSICS, 2006, 321 (05) :1126-1205

[7] Area laws in a many-body localized state and its implications for topological order [J].

Bauer, Bela ;

Nayak, Chetan .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2013,

[8] Entanglement and thermodynamic entropy in a clean many-body-localized system [J].

Bhakuni, Devendra Singh ;

Sharma, Auditya .

JOURNAL OF PHYSICS-CONDENSED MATTER, 2020, 32 (25)

[9] Localization in one-dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-Andre models [J].

Biddle, J. ;

Priour, D. J., Jr. ;

Wang, B. ;

Das Sarma, S. .

PHYSICAL REVIEW B, 2011, 83 (07)

[10] Mobility edges in bichromatic optical lattices [J].

Boers, Dave J. ;

Goedeke, Benjamin ;

Hinrichs, Dennis ;

Holthaus, Martin .

PHYSICAL REVIEW A, 2007, 75 (06)

← 1 2 3 4 5 6 7 →