Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry

Abstract

We show that non-trivial two-dimensional topological insulators protected by an odd time-reversal symmetry have absolutely continuous edge spectrum. The proof employs a time-reversal symmetric version of the Wold decomposition that singles out ballistic edge modes of the topological insulator.

arXiv comment10 pages

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• The index of a pair of pure states and the interacting integer quantum Hall effect