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

Chaudhary, Swati and Haim, Arbel and Peng, Yang and Refael, Gil (2020) Phonon-induced Floquet topological phases protected by space-time symmetries. Physical Review Research, 2 (4). Art. No. 043431. ISSN 2643-1564. https://resolver.caltech.edu/CaltechAUTHORS:20191217-115034328

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Abstract

For systems with spatial and nonspatial symmetries, the topological classification depends not only on these symmetries but also on the commutation/anticommutation relations between spatial and nonspatial symmetries. The coexistence of spatial and nonspatial symmetries together with appropriate commutation/anticommutation relations between them can give rise to crystalline and higher-order topological phases, which host gapless boundary modes. Alternatively, space-time symmetries in a Floquet system can take the role of spatial symmetries in deciding the topological classification. Promoting a spatial symmetry to a space-time symmetry can alter the commutation relations, which in turn can modify the topological properties of the system. 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 a nontrivial Floquet topological phase. We demonstrate this effect by considering two systems: The first is a second-order topological superconductor, and the second is a first-order crystalline topological insulator. In both these cases, a coherently excited phonon mode is responsible for promoting the reflection symmetry to a time-glide symmetry. This newly introduced symmetry allows the previously trivial system to host gapless modes. In the first case, these are protected corner modes, while in the second case, these are gapless edge modes.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevResearch.2.043431DOIArticle
https://arxiv.org/abs/1911.07892arXivDiscussion Paper
ORCID:
AuthorORCID
Peng, Yang0000-0002-8868-2928
Alternate Title:Phonon-induced Floquet second-order topological phases protected by space-time symmetries
Additional Information:© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 15 January 2020; revised 6 October 2020; accepted 11 December 2020; published 29 December 2020. We acknowledge support from the Institute of Quantum Information and Matter, an NSF Physics Frontiers Center funded by the Gordon and Betty Moore Foundation, the Packard Foundation, and the Simons Foundation. A.H. and Y.P. are grateful for support from the Walter Burke Institute for Theoretical Physics at Caltech. Y.P. acknowledges support from the startup fund from California State University, Northridge. G.R. is grateful for support from ARO MURI Award No. W911NF-16-1-0361, “Quantum Materials by Design with Electromagnetic Excitation,” sponsored by the US Army.
Group: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
California State University, NorthridgeUNSPECIFIED
Army Research Office (ARO)W911NF-16-1-0361
Issue or Number:4
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:05 Jan 2021 00:10

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