Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED Bagrets, Dmitry UNSPECIFIED UNSPECIFIED UNSPECIFIED Kamenev, Alex UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language QUANTUM HALL TRANSITION; SIGMA-MODEL; WIRES; SUPERCONDUCTORS; DELOCALIZATION; DISORDER; CHAINS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/41210