Scaling of critical wave functions at topological Anderson transitions in one dimension

被引：2

作者：

Quinn, Eoin ^{[1
]}

Cope, Thomas ^{[2
]}

Bardarson, Jens H. ^{[1
]}

Ossipov, Alexander ^{[2
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

PHYSICAL REVIEW B | 2015年 / 92卷 / 10期

关键词：

DELOCALIZATION; LOCALIZATION; SOLITONS; PHASE; WIRES;

D O I：

10.1103/PhysRevB.92.104204

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localized phases, allow for criticality in one-dimensional disordered systems. We analyze the statistical properties of an ensemble of critical wave functions at such transitions. We find that the local moments are strongly inhomogeneous, with significant amplification towards the edges of the system. In particular, we obtain an analytic expression for the spatial profile of the local moments, which is valid at all topological Anderson transitions in one dimension, as we verify by direct comparison with numerical simulations of various lattice models.

引用

页数：8

共 21 条

[1] Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
Altland, A
Zirnbauer, MR
[J]. PHYSICAL REVIEW B, 1997, 55 (02): : 1142 - 1161
[2] Topology versus Anderson localization: Nonperturbative solutions in one dimension
Altland, Alexander
Bagrets, Dmitry
Kamenev, Alex
[J]. PHYSICAL REVIEW B, 2015, 91 (08):
[3] Delocalization transition via supersymmetry in one dimension
Balents, L
Fisher, MPA
[J]. PHYSICAL REVIEW B, 1997, 56 (20): : 12970 - 12991
[4] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES
BERRY, MV
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) : 45 - 57
[5] Localization and delocalization in dirty superconducting wires
Brouwer, PW
Furusaki, A
Gruzberg, IA
Mudry, C
[J]. PHYSICAL REVIEW LETTERS, 2000, 85 (05) : 1064 - 1067
[6] Zero modes in the random hopping model
Brouwer, PW
Racine, E
Furusaki, A
Hatsugai, Y
Morita, Y
Mudry, C
[J]. PHYSICAL REVIEW B, 2002, 66 (01): : 142041 - 1420411
[7] Delocalization in coupled one-dimensional chains
Brouwer, PW
Mudry, C
Simons, BD
Altland, A
[J]. PHYSICAL REVIEW LETTERS, 1998, 81 (04) : 862 - 865
[8] Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
Brouwer, PW
Mudry, C
Furusaki, A
[J]. NUCLEAR PHYSICS B, 2000, 565 (03) : 653 - 663
[9] Bulk-defect correspondence in particle-hole symmetric insulators and semimetals
de Juan, Fernando
Rueegg, Andreas
Lee, Dung-Hai
[J]. PHYSICAL REVIEW B, 2014, 89 (16):
[10] Anderson transitions
Evers, Ferdinand
Mirlin, Alexander D.
[J]. REVIEWS OF MODERN PHYSICS, 2008, 80 (04) : 1355 - 1417

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