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Floquet second-order topological insulators from nonsymmorphic space-time symmetries

Peng, Yang and Refael, Gil (2019) Floquet second-order topological insulators from nonsymmorphic space-time symmetries. Physical Review Letters, 123 (1). Art. No. 016806. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20190409-112427983

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Abstract

We propose a systematic way of constructing Floquet second-order topological insulators (SOTIs) based on time-glide symmetry, a nonsymmorphic space-time symmetry that is unique in Floquet systems. In particular, we are able to show that the static enlarged Hamiltonian in the frequency domain acquires reflection symmetry, which is inherited from the time-glide symmetry of the original system. As a consequence, one can construct a variety of time-glide symmetric Floquet SOTIs using the knowledge of static SOTIs. Moreover, the time-glide symmetry only needs to be implemented approximately in practice, enhancing the prospects of experimental realizations. We consider two examples, a 2D system in class AIII and a 3D system in class A, to illustrate our ideas, and then present a general recipe for constructing Floquet SOTIs in all symmetry classes.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.123.016806DOIArticle
https://arxiv.org/abs/1811.11752arXivDiscussion Paper
Additional Information:© 2019 American Physical Society. Received 28 November 2018; published 3 July 2. We acknowledge support from the Institute of Quantum Information and Matter, a NSF Frontier center funded by the Gordon and Betty Moore Foundation, and the Packard Foundation. Y. P. is grateful for support from the Walter Burke Institute for Theoretical Physics at Caltech. G. R. is grateful for support from the ARO MURI W911NF-16-1- 0361 Quantum Materials by Design with Electromagnetic Excitation sponsored by the U.S. Army.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Army Research Office (ARO)W911NF-16-1-0361
Record Number:CaltechAUTHORS:20190409-112427983
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190409-112427983
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:94587
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Apr 2019 18:29
Last Modified:08 Jul 2019 17:15

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