The bulk-edge correspondence in three simple cases

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Abstract

We present examples in three symmetry classes of topological insulators in one or two dimensions where the proof of the bulk-edge correspondence is particularly simple. This serves to illustrate the mechanism behind the bulk-edge principle without the overhead of the more general proofs which are available. We also give a new formula for the &2-index of our time-reversal invariant systems inspired by Moore and Balents.

Original languageEnglish (US)
Article number2030003
JournalReviews in Mathematical Physics
Volume32
Issue number3
DOIs
StatePublished - Apr 1 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • time-reversal invariance
  • Topological insulators
  • translation invariance

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