Entanglement spectrum of a disordered topological Chern insulator

Emil Prodan, Taylor L. Hughes, B. Andrei Bernevig

Research output: Contribution to journalArticle

117 Scopus citations

Abstract

We investigate the behavior of a topological Chern insulator in the presence of disorder, with a focus on its entanglement spectrum (EtS) constructed from the ground state. For systems with symmetries, the EtS was shown to contain explicit information about the topological universality class revealed by sorting the EtS against the conserved quantum numbers. In the absence of any symmetry, we demonstrate that statistical methods such as the level statistics of the EtS can be equally insightful, allowing us to distinguish when an insulator is in a topological or trivial phase and to map the boundary between the two phases. The phase diagram of a Chern insulator is explicitly computed as function of Fermi level (EF) and disorder strength using the level statistics of the EtS and energy spectrum, together with a computation of the Chern number (C) via a new, efficient real-space formula.

Original languageEnglish (US)
Article number115501
JournalPhysical review letters
Volume105
Issue number11
DOIs
StatePublished - Sep 7 2010

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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