Superdiffusion in a random two-dimensional system with time-reversal symmetry and long-range hopping

被引：0

作者：

Deng, Xiaolong ^{[1
]}

Khaymovich, Ivan M. ^{[2
,3
]}

Burin, Alexander L. ^{[4
]}

机构：

[1] Leibniz Rechenzentrum, Boltzmannstr 1, D-85748 Garching, Germany

[2] Stockholm Univ, Nordita, Hannes Alfvens Vag 12, SE-10691 Stockholm, Sweden

[3] KTH Royal Inst Technol, Hannes Alfvens Vag 12, SE-10691 Stockholm, Sweden

[4] Tulane Univ, Sch Sci & Engn, Dept Chem, New Orleans, LA 70118 USA

来源：

PHYSICAL REVIEW B | 2024年 / 109卷 / 17期

基金：

欧洲研究理事会;

关键词：

LOCALIZATION; STATISTICS; GLASSES; MODEL; DELOCALIZATION; CONDUCTIVITY; FLUCTUATIONS; DIFFUSION; ABSENCE; STATES;

D O I：

10.1103/PhysRevB.109.174208

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Although it is recognized that Anderson localization takes place for all states at a dimension d less than or equal to 2, while delocalization is expected for hopping V (r) decreasing with the distance slower or as r-d, the localization problem in the crossover regime for the dimension d = 2 and hopping V (r) oc r-2 is not resolved yet. Following earlier suggestions we show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions in the presence of time-reversal symmetry there exist two distinguishable phases at weak and strong disorder. The first phase is characterized by ergodic dynamics and superdiffusive transport, while the second phase is characterized by diffusive transport and delocalized eigenstates with fractal dimension less than 2. The transition between phases is resolved analytically using the extension of scaling theory of localization and verified numerically using an exact numerical diagonalization.

引用

页数：12

共 50 条

[31] Performance analysis of a two-dimensional random frequency hopping system
Ning X.
Liang H.
Wang Z.
Zhao D.
[J]. Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University, 2022, 43 (02): : 274 - 281
[32] Destruction of long-range order in noncollinear two-dimensional antiferromagnets by random-bond disorder
Dey, Santanu
Andrade, Eric C.
Vojta, Matthias
[J]. PHYSICAL REVIEW B, 2020, 101 (02)
[33] TEST OF TIME-REVERSAL SYMMETRY IN THE PROTON DEUTERON SYSTEM
BEYER, M
[J]. NUCLEAR PHYSICS A, 1993, 560 (04) : 895 - 908
[34] Time-reversal symmetries in two-dimensional reversible partitioned cellular automata and their applications
Morita, Kenichi
[J]. INTERNATIONAL JOURNAL OF PARALLEL EMERGENT AND DISTRIBUTED SYSTEMS, 2022, 37 (05) : 479 - 511
[35] Piezoelectricity and topological quantum phase transitions in two-dimensional spin-orbit coupled crystals with time-reversal symmetry
Yu, Jiabin
Liu, Chao-Xing
[J]. NATURE COMMUNICATIONS, 2020, 11 (01)
[36] Piezoelectricity and topological quantum phase transitions in two-dimensional spin-orbit coupled crystals with time-reversal symmetry
Jiabin Yu
Chao-Xing Liu
[J]. Nature Communications, 11
[37] Detrimental effects of disorder in two-dimensional time-reversal invariant topological superconductors
Mashkoori, Mahdi
Parhizgar, Fariborz
Rachel, Stephan
Black-Schaffer, Annica M.
[J]. PHYSICAL REVIEW B, 2023, 107 (01)
[38] Some Remarks on Time-Reversal MUSIC for Two-Dimensional Thin PEC Scatterers
Solimene, Raffaele
Dell'Aversano, Angela
[J]. IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2014, 11 (06) : 1163 - 1167
[39] Analysis of the time-reversal operator for a single cylinder under two-dimensional settings
Rao, T.
Chen, X.
[J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2006, 20 (15) : 2153 - 2165
[40] LONG-RANGE ORDER WITHOUT BROKEN SYMMETRY - TWO-DIMENSIONAL HEISENBERG-ANTIFERROMAGNET AT ZERO TEMPERATURE
TANG, SY
HIRSCH, JE
[J]. PHYSICAL REVIEW B, 1989, 39 (07): : 4548 - 4553

← 1 2 3 4 5 →