Bulk-edge correspondence of 1D and 2D periodically driven topological systems

ORAL

Abstract

Time-dependent systems have recently been shown to support new types of topological order that are different from the phases in static systems. We find a relationship between the bulk invariant of the unitary evolution of the closed system and the behavior of the edge modes in the open system for one and two dimensional Floquet insulators. For 1D systems with chiral symmetry, we relate the chiral flow at half-period to the number of edge modes in the gaps 0 and π. We also find a bulk-edge correspondence for the different classes of Floquet topological insulators in 2D, and introduce simple models in which these nontrivial topological phases can be realized.

*X.L. and R. R. acknowledge support from the NSF under CAREER DMR-1455368 and the Alfred P. Sloan Foundation

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Presenters

  • Xu Liu

    • Physics & Astronomy, University of California, Los Angeles

Authors

  • Xu Liu

    • Physics & Astronomy, University of California, Los Angeles

  • Fenner Harper

    • Physics & Astronomy, University of California, Los Angeles
    • Physics and Astronomy, University of California, Los Angeles
    • Univ of California - Los Angeles

  • Rahul Roy

    • Physics & Astronomy, University of California, Los Angeles
    • Department of Physics and Astronomy, Univ of California - Los Angeles
    • Physics and Astronomy, University of California, Los Angeles
    • Univ of California - Los Angeles