Bandwidth-resonant Floquet states in honeycomb optical lattices

We investigate, within Floquet theory, topological phases in the out-of-equilibrium system that consists of fermions in a circularly shaken honeycomb optical lattice. We concentrate on the intermediate regime, in which the shaking frequency is of the same order of magnitude as the band width, such t...

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Bibliographic Details
Published in:New journal of physics 2016-01, Vol.18 (1), p.15006
Main Authors: Quelle, A, Goerbig, M O, Smith, C Morais
Format: Article
Language:English
Subjects:
Equilibrium
Fermions
Floquet
honeycomb optical lattice
Inversions
Optical lattices
Physics
quantum phase transition
Quantum wells
Shaking
topological states
Topology
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Summary:We investigate, within Floquet theory, topological phases in the out-of-equilibrium system that consists of fermions in a circularly shaken honeycomb optical lattice. We concentrate on the intermediate regime, in which the shaking frequency is of the same order of magnitude as the band width, such that adjacent Floquet bands start to overlap, creating a hierarchy of band inversions. It is shown that two-phonon resonances provide a topological phase that can be described within the Bernevig-Hughes-Zhang model of HgTe quantum wells. This allows for an understanding of out-of-equilibrium topological phases in terms of simple band inversions, similar to equilibrium systems.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/18/1/015006