T-duality simplifies bulk-boundary correspondence

TL;DR

This paper demonstrates that T-duality simplifies the bulk-boundary correspondence in various topological phases of matter, including quantum Hall systems and topological insulators.

Contribution

It extends the application of T-duality to three key condensed matter phenomena, showing it trivializes their bulk-boundary correspondence.

Findings

T-duality trivializes the bulk-boundary correspondence in quantum Hall effect.

T-duality simplifies the bulk-boundary relation in Chern insulators.

T-duality applies to time reversal invariant topological insulators, simplifying their boundary analysis.

Abstract

Recently we introduced T-duality in the study of topological insulators. In this paper, we study the bulk-boundary correspondence for three phenomena in condensed matter physics, namely, the quantum Hall effect, the Chern insulator, and time reversal invariant topological insulators. In all of these cases, we show that T-duality trivializes the bulk-boundary correspondence.