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Phonon-induced Floquet second-order topological phases protected by space-time symmetries

Chaudhary, Swati and Haim, Arbel and Peng, Yang and Refael, Gil (2019) Phonon-induced Floquet second-order topological phases protected by space-time symmetries. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20191217-115034328

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Abstract

The co-existence of spatial and non-spatial symmetries together with appropriate commutation/anticommutation relations between them can give rise to static higher-order topological phases, which host gapless boundary modes of co-dimension higher than one. Alternatively, space-time symmetries in a Floquet system can also lead to anomalous Floquet boundary modes of higher co-dimensions, presumably with alterations in the commutation/anticommutation relations with respect to non-spatial symmetries. We show how a coherently excited phonon mode can be used to promote a spatial symmetry with which the static system is always trivial, to a space-time symmetry which supports non-trivial Floquet higher-order topological phase. We present two examples -- one in class D and another in class AIII where a coherently excited phonon mode promotes the reflection symmetry to a time-glide symmetry such that the commutation/anticommutation relations between spatial and non-spatial symmetries are modified. These altered relations allow the previously trivial system to host gapless modes of co-dimension two at reflection-symmetric boundaries.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1911.07892arXivDiscussion Paper
ORCID:
AuthorORCID
Peng, Yang0000-0002-8868-2928
Additional Information:We acknowledge support from the Institute of Quantum Information and Matter, an NSF Frontier center funded by the Gordon and Betty Moore Foundation, the Packard Foundation, and the Simons foundation. A. H. and Y.P. are grateful to support from the Walter Burke Institute for Theoretical Physics at Caltech. G. R. is grateful to the support from the ARO MURI W911NF-16-1-0361 Quantum Materials by Design with Electromagnetic Excitation sponsored by the U.S. Army.
Group:UNSPECIFIED, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Institute of Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Simons FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Army Research Office (ARO)W911NF-16-1-0361
Record Number:CaltechAUTHORS:20191217-115034328
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20191217-115034328
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100335
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:17 Dec 2019 20:42
Last Modified:04 Jun 2020 10:14

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