Universität zu Köln

Altland, Alexander ORCID: 0000-0002-2991-4805, Bagrets, Dmitry, Fritz, Lars, Kamenev, Alex and Schmiedt, Hanno ORCID: 0000-0001-6450-3713 (2014). Quantum Criticality of Quasi-One-Dimensional Topological Anderson Insulators. Phys. Rev. Lett., 112 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We present an analytic theory of quantum criticality in the quasi-one-dimensional topological Anderson insulators of class AIII and BDI. We describe the systems in terms of two parameters (g, chi) representing localization and topological properties, respectively. Surfaces of half-integer valued chi define phase boundaries between distinct topological sectors. Upon increasing system size, the two parameters exhibit flow similar to the celebrated two-parameter flow describing the class A quantum Hall insulator. However, unlike the quantum Hall system, an exact analytical description of the entire phase diagram can be given. We check the quantitative validity of our theory by comparison to numerical transfer matrix computations.

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 Fritz, Lars UNSPECIFIED UNSPECIFIED UNSPECIFIED Kamenev, Alex UNSPECIFIED UNSPECIFIED UNSPECIFIED Schmiedt, Hanno UNSPECIFIED orcid.org/0000-0001-6450-3713 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-437753
DOI:	10.1103/PhysRevLett.112.206602
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	112
Number:	20
Date:	2014
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1079-7114
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 HALL; PARTICLES; THETA Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/43775