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Chiral one-dimensional Floquet topological insulators beyond the rotating wave approximation

Dante M. Kennes, Niclas Müller, Mikhail Pletyukhov, Clara Weber, Christoph Bruder, Fabian Hassler, Jelena Klinovaja, Daniel Loss, and Herbert Schoeller
Phys. Rev. B 100, 041103(R) – Published 3 July 2019
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Abstract

We study one-dimensional Floquet topological insulators with chiral symmetry going beyond the standard rotating wave approximation. The occurrence of many anticrossings between Floquet replicas leads to a dramatic extension of phase diagram regions with stable topological edge states (TESs). We present an explicit construction of all TESs in terms of a truncated Floquet Hamiltonian in frequency space, prove the bulk-boundary correspondence, and analyze the stability of the TESs in terms of their localization lengths. We propose experimental tests of our predictions in curved bilayer graphene.

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  • Received 29 November 2018

DOI:https://doi.org/10.1103/PhysRevB.100.041103

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Dante M. Kennes1, Niclas Müller2, Mikhail Pletyukhov2, Clara Weber2, Christoph Bruder3, Fabian Hassler4, Jelena Klinovaja3, Daniel Loss3, and Herbert Schoeller2,*

  • 1Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany
  • 2Institut für Theorie der Statistischen Physik, RWTH Aachen, 52056 Aachen, Germany and JARA–Fundamentals of Future Information Technology
  • 3Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
  • 4JARA–Institute Quantum Information, RWTH Aachen University, 52056 Aachen, Germany

  • *schoeller@physik.rwth-aachen.de

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Issue

Vol. 100, Iss. 4 — 15 July 2019

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