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Kim, Kun Woo
복잡계 이론물리 연구단
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Quantum Hall criticality in Floquet topological insulators

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Title
Quantum Hall criticality in Floquet topological insulators
Author(s)
Kun Woo Kim; Dmitry Bagrets; Tobias Micklitz; Alexander Altland
Subject
LOCALIZATION
Publication Date
2020-04
Journal
PHYSICAL REVIEW B, v.101, no.16, pp.165401
Publisher
AMER PHYSICAL SOC
Abstract
© 2020 American Physical Society. 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
URI
https://pr.ibs.re.kr/handle/8788114/8691
DOI
10.1103/PhysRevB.101.165401
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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