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.

10 pages

References in corpus (3)

• Edge Currents for Quantum Hall Systems, I. One-Edge, Unbounded Geometries
• Fredholm Homotopies for Strongly-Disordered 2D Insulators
• Absolutely Continuous Edge Spectrum of Hall Insulators on the Lattice

Cited by in corpus (1)

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