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Quantum Hall criticality in Floquet topological insulators | | Kim Kun Woo
; Dmitry Bagrets
; Tobias Micklitz
; Alexander Altland
; | | Date: |
15 Oct 2019 | | 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 principle 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. | | Source: | arXiv, 1910.6892 | | Services: | Forum | Review | PDF | Favorites | |
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