The Bulk-Edge Correspondence in Three Simple Cases

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 \mathbb{Z}_{2}-index of our time-reversal invariant systems inspired by Moore and Balents.

34 pages, 6 figures

References in corpus (7)

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• The $K$-theoretic bulk-edge correspondence for topological insulators
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