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Floquet higher-order topological insulators and superconductors with space-time symmetries

Peng, Yang (2020) Floquet higher-order topological insulators and superconductors with space-time symmetries. Physical Review Research, 2 (1). Art. No. 013124. ISSN 2643-1564. https://resolver.caltech.edu/CaltechAUTHORS:20200103-092333676

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Abstract

Floquet higher-order topological insulators and superconductors (HOTI/SCs) with an order-two space-time symmetry or antisymmetry are classified. This is achieved by considering unitary loops, whose nontrivial topology leads to the anomalous Floquet topological phases, subject to a space-time symmetry/antisymmetry. By mapping these unitary loops to static Hamiltonians with an order-two crystalline symmetry/antisymmetry, one is able to obtain the K groups for the unitary loops and thus complete the classification of Floquet HOTI/SCs. Interestingly, we found that for every order-two nontrivial space-time symmetry/antisymmetry involving a half-period time translation, there exists a unique order-two static crystalline symmetry/antisymmetry, such that the two symmetries/antisymmetries give rise to the same topological classification. Moreover, by exploiting the frequency-domain formulation of the Floquet problem, a general recipe that constructs model Hamiltonians for Floquet HOTI/SCs is provided, which can be used to understand the classification of Floquet HOTI/SCs from an intuitive and complimentary perspective.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevResearch.2.013124DOIArticle
https://arxiv.org/abs/1909.08634arXivDiscussion Paper
ORCID:
AuthorORCID
Peng, Yang0000-0002-8868-2928
Additional Information:© 2020 Published by the American Physical Society. 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 23 September 2019; accepted 2 January 2020; published 5 February 2020. Y.P. acknowledges support from the startup fund from California State University, Northridge, as well as support from the IQIM, an NSF Physics Frontiers Center funded in part by the Moore Foundation, and support from the Walter Burke Institute for Theoretical Physics at Caltech. Y.P. is grateful for helpful discussions with Gil Refael at Caltech and with Luka Trifunovic.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
California State University, NorthridgeUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20200103-092333676
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200103-092333676
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100486
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Jan 2020 17:53
Last Modified:06 Feb 2020 19:19

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