Impurity bound states as detectors of topological band structures revisited

Seydou-Samba Diop, Lars Fritz, Matthias Vojta, and Stephan Rachel
Phys. Rev. B 101, 245132 – Published 9 June 2020

Abstract

Band structures of topological insulators are characterized by nonlocal topological invariants. Consequently, proposals for the experimental detection using local probes are rare. A recent paper [R.-J. Slager et al., Phys. Rev. B 92, 085126 (2015)] has argued, based on theoretical results for a particular class of models, that insulators with topologically trivial and nontrivial band structures in two space dimensions display a qualitatively different response to pointlike impurities. Here, we present a comprehensive investigation of the impurity response of a large set of models of noninteracting electrons on the honeycomb lattice, driven insulating by either broken inversion, broken time-reversal, broken C3, or broken translation symmetry. These cases include Hofstadter bands, strain-induced pseudo-Landau levels, and higher-order topological insulators. Our results confirm that for hopping models respecting the lattice symmetries, the response to a single impurity can indeed distinguish between trivial and nontrivial band topology. However, for modulated or inhomogeneous host systems we find that trivial states of matter can display an impurity response akin to that of topologically nontrivial states, and thus the diagnostic fails.

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  • Received 28 March 2020
  • Accepted 5 May 2020

DOI:https://doi.org/10.1103/PhysRevB.101.245132

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Seydou-Samba Diop1,2, Lars Fritz3, Matthias Vojta4, and Stephan Rachel1

  • 1School of Physics, University of Melbourne, Parkville, VIC 3010, Australia
  • 2Département des Sciences de la Matière, ENS de Lyon, 69007 Lyon, France
  • 3Institute for Theoretical Physics, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands
  • 4Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

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Issue

Vol. 101, Iss. 24 — 15 June 2020

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