Quantum phase transitions and a disorder-based filter in a Floquet system

Balaganchi A. Bhargava, Sanjib Kumar Das, and Ion Cosma Fulga
Phys. Rev. B 105, 054205 – Published 18 February 2022

Abstract

Two-dimensional periodically driven topological insulators have been shown to exhibit numerous topological phases, including ones which have no static analog, such as anomalous Floquet topological phases. We study a two-dimensional model of spinless fermions on a honeycomb lattice with periodic driving. We show that this model exhibits a rich mixture of weak and strong topological phases, which we identify by computing their scattering matrix invariants. Furthermore, we do an in-depth analysis of these topological phases in the presence of spatial disorder and show the relative robustness of these phases against imperfections. Making use of this robustness against spatial disorder, we propose a filter which allows the passage of only edge states, and which can be realized using existing experimental techniques.

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  • Received 3 November 2021
  • Accepted 9 February 2022

DOI:https://doi.org/10.1103/PhysRevB.105.054205

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Balaganchi A. Bhargava, Sanjib Kumar Das, and Ion Cosma Fulga

  • IFW Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat, Helmholtzstrasse 20, 01069 Dresden, Germany

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Issue

Vol. 105, Iss. 5 — 1 February 2022

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