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Topological Space-Time Crystal

Peng, Yang (2022) Topological Space-Time Crystal. Physical Review Letters, 128 (18). Art. No. 186802. ISSN 0031-9007. doi:10.1103/physrevlett.128.186802. https://resolver.caltech.edu/CaltechAUTHORS:20220525-286266000

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Abstract

We introduce a new class of out-of-equilibrium noninteracting topological phases: the topological space-time crystals. These are time-dependent quantum systems that do not have discrete spatial translation symmetries but instead are invariant under discrete space-time translations. Similar to the Floquet-Bloch systems, the space-time crystals can be described by a frequency-domain-enlarged Hamiltonian, which is used to classify topologically distinct space-time crystals. We show that these space-time crystals can be engineered from conventional crystals with an additional time-dependent drive that behaves like a traveling wave moving across the crystal. Interestingly, we are able to construct 1D and 2D examples of topological space-time crystals based on tight-binding models that involve only one orbital, in contrast to the two-orbital minimal models for any previously discovered static or Floquet topological phases with crystalline structures.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.128.186802DOIArticle
https://arxiv.org/abs/2201.03577arXivDiscussion Paper
https://journals.aps.org/prl/supplemental/10.1103/PhysRevLett.128.186802/supplement.pdfPublisherSupporting Information
ORCID:
AuthorORCID
Peng, Yang0000-0002-8868-2928
Additional Information:© 2022 American Physical Society. (Received 13 January 2022; revised 9 April 2022; accepted 14 April 2022; published 4 May 2022) Y. P. acknowledges support from the startup fund from California State University, Northridge. Y. P. is grateful for the helpful discussions with Gil Refael and Frederik Nathan.
Funders:
Funding AgencyGrant Number
California State University, NorthridgeUNSPECIFIED
Issue or Number:18
DOI:10.1103/physrevlett.128.186802
Record Number:CaltechAUTHORS:20220525-286266000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220525-286266000
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114905
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:31 May 2022 17:54
Last Modified:31 May 2022 17:54

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