From Edge State Physics to Entanglement Spectrum: Studying Interactions and Impurities in Two-Dimensional Topological Insulators

TL;DR

This paper introduces a new theoretical framework that links edge state physics and entanglement spectrum to incorporate interactions and impurities in 2D topological insulators, demonstrated on the Kane-Mele model.

Contribution

It develops a novel method connecting edge states and entanglement spectrum to include interactions in topological insulators, providing a simplified analysis approach.

Findings

Effective inclusion of fermionic interactions in topological insulators.

Application to Kane-Mele model with magnetic impurities.

Insights into the role of interactions and impurities in topological phases.

Abstract

We present a novel theoretical approach to incorporate electronic interactions in the study of two-dimensional topological insulators. By exploiting the correspondence between edge state physics and entanglement spectrum in gapped topological systems, we deconstruct the system into one-dimensional channels. This framework enables a simple and elegant inclusion of fermionic interactions into the discussion of topological insulators. We apply this approach to the Kane-Mele model with interactions and magnetic impurities.