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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Format: | Article |
Language: | English |
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IOP Publishing
2016-01-01
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Series: | New Journal of Physics |
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Online Access: | https://doi.org/10.1088/1367-2630/18/1/015006 |
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author | A Quelle M O Goerbig C Morais Smith |
author_facet | A Quelle M O Goerbig C Morais Smith |
author_sort | A Quelle |
collection | DOAJ |
description | 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. |
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format | Article |
id | doaj.art-8a5f5b48cad54f1a9745f4ee89847ab4 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:38:38Z |
publishDate | 2016-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
spelling | doaj.art-8a5f5b48cad54f1a9745f4ee89847ab42023-08-08T14:37:31ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118101500610.1088/1367-2630/18/1/015006Bandwidth-resonant Floquet states in honeycomb optical latticesA Quelle0M O Goerbig1C Morais Smith2Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University , Leuvenlaan 4, 3584 CE Utrecht, The NetherlandsLaboratoire de Physique des Solides, CNRS UMR 8502, Université Paris-Sud , Bât. 510, F-91405 Orsay cedex, FranceInstitute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University , Leuvenlaan 4, 3584 CE Utrecht, The NetherlandsWe 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.https://doi.org/10.1088/1367-2630/18/1/015006Floquethoneycomb optical latticetopological statesquantum phase transition |
spellingShingle | A Quelle M O Goerbig C Morais Smith Bandwidth-resonant Floquet states in honeycomb optical lattices New Journal of Physics Floquet honeycomb optical lattice topological states quantum phase transition |
title | Bandwidth-resonant Floquet states in honeycomb optical lattices |
title_full | Bandwidth-resonant Floquet states in honeycomb optical lattices |
title_fullStr | Bandwidth-resonant Floquet states in honeycomb optical lattices |
title_full_unstemmed | Bandwidth-resonant Floquet states in honeycomb optical lattices |
title_short | Bandwidth-resonant Floquet states in honeycomb optical lattices |
title_sort | bandwidth resonant floquet states in honeycomb optical lattices |
topic | Floquet honeycomb optical lattice topological states quantum phase transition |
url | https://doi.org/10.1088/1367-2630/18/1/015006 |
work_keys_str_mv | AT aquelle bandwidthresonantfloquetstatesinhoneycombopticallattices AT mogoerbig bandwidthresonantfloquetstatesinhoneycombopticallattices AT cmoraissmith bandwidthresonantfloquetstatesinhoneycombopticallattices |