Square-root Floquet topological phases and time crystals

Raditya Weda Bomantara*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases, applicable both in noninteracting and in interacting setting. The resulting systems are found to yield richer physics that is otherwise absent in the original counterparts and is robust against parameter imperfection. These include the emergence of Floquet topological superconductors with arbitrarily many zero, π, and π/2 edge modes, as well as 4T-period Floquet time crystals in disordered and disorder-free systems (T being the driving period). Remarkably, our approach can be repeated indefinitely to obtain a 2nth-root version of any periodically driven system, thus, allowing for the discovery and systematic construction of exotic Floquet phases.

Original languageEnglish
Article numberL060305
JournalPhysical Review B
Issue number6
StatePublished - 1 Aug 2022
Externally publishedYes

Bibliographical note

Funding Information:
Acknowledgments. This Letter was supported by the Australian Research Council Centre of Excellence for Engineered Quantum Systems (Grant No. EQUS, CE170100009). I thank L. Zhou, C. Lee, J. Gong, and W Zhu for helpful discussions. In particular, I acknowledge C. Lee for suggesting the potential parallel processing applications of the square-root procedure.

Publisher Copyright:
© 2022 American Physical Society.

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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