Universität zu Köln

Kim, Kun Woo ORCID: 0000-0002-7784-6202, Bagrets, Dmitry, Micklitz, Tobias and Altland, Alexander ORCID: 0000-0002-2991-4805 (2020). Quantum Hall criticality in Floquet topological insulators. Phys. Rev. B, 101 (16). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

The anomalous Floquet Anderson insulator (AFAI) is a two-dimensional periodically driven system in which static disorder stabilizes two topologically distinct phases in the thermodynamic limit. The presence of a unit-conducting chiral edge mode and the essential role of disorder induced localization are reminiscent of the integer quantum Hall (IQH) effect. At the same time, chirality in the AFAI is introduced via an orchestrated driving protocol, there is no magnetic field, no energy conservation, and no (Landau level) band structure. In this paper, we show that in spite of these differences the AFAI topological phase transition is in the IQH universality class. We do so by mapping the system onto an effective theory describing phase coherent transport in the system at large length scales. Unlike with other disordered systems, the form of this theory is almost fully determined by symmetry and topological consistency criteria, and can even be guessed without calculation. (However, we back this expectation by a first-principles derivation.) Its equivalence to the Pruisken theory of the IQH demonstrates the above equivalence. At the same time, it makes predictions on the emergent quantization of transport coefficients, and the delocalization of bulk states at quantum criticality which we test against numerical simulations.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kim, Kun Woo UNSPECIFIED orcid.org/0000-0002-7784-6202 UNSPECIFIED Bagrets, Dmitry UNSPECIFIED UNSPECIFIED UNSPECIFIED Micklitz, Tobias UNSPECIFIED UNSPECIFIED UNSPECIFIED Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-339469
DOI:	10.1103/PhysRevB.101.165401
Journal or Publication Title:	Phys. Rev. B
Volume:	101
Number:	16
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
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 LOCALIZATION Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/33946