Altland, Alexander ORCID: 0000-0002-2991-4805, Bagrets, Dmitry and Kamenev, Alex
(2015).
Topology versus Anderson localization: Nonperturbative solutions in one dimension.
Phys. Rev. B, 91 (8).
COLLEGE PK:
AMER PHYSICAL SOC.
ISSN 1550-235X
Abstract
We present an analytic theory of quantum criticality in quasi-one-dimensional topological Anderson insulators. We describe these systems in terms of two parameters (g, chi) representing localization and topological properties, respectively. Certain critical values of chi (half-integer for Z classes, or zero for Z(2) classes) define phase boundaries between distinct topological sectors. Upon increasing system size, the two parameters exhibit flow similar to the celebrated two-parameter flow of the integer quantum Hall insulator. However, unlike the quantum Hall system, an exact analytical description of the entire phase diagram can be given in terms of the transfer-matrix solution of corresponding supersymmetric nonlinear sigma models. In Z(2) classes we uncover a hidden supersymmetry, present at the quantum critical point.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
|
||||||||||||||||
URN: | urn:nbn:de:hbz:38-412102 | ||||||||||||||||
DOI: | 10.1103/PhysRevB.91.085429 | ||||||||||||||||
Journal or Publication Title: | Phys. Rev. B | ||||||||||||||||
Volume: | 91 | ||||||||||||||||
Number: | 8 | ||||||||||||||||
Date: | 2015 | ||||||||||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||||||||||
Place of Publication: | COLLEGE PK | ||||||||||||||||
ISSN: | 1550-235X | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||||||||||
Divisions: | Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
Uncontrolled Keywords: |
|
||||||||||||||||
Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/41210 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
![]() |
View Item |