Topological Space-Time Crystal
- Creators
- Peng, Yang
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.
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.Attached Files
Published - PhysRevLett.128.186802.pdf
Accepted Version - 2201.03577.pdf
Supplemental Material - supplement.pdf
Files
Additional details
- Eprint ID
- 114905
- Resolver ID
- CaltechAUTHORS:20220525-286266000
- California State University, Northridge
- Created
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2022-05-31Created from EPrint's datestamp field
- Updated
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2022-05-31Created from EPrint's last_modified field