Topologically Localized Insulators

We show that fully localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labeled by integers. The phase transition occurs only when the system becomes conducting at some filling. We find...

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Bibliographic Details
Published in:Physical review letters 2022-12, Vol.129 (25), p.256401-256401, Article 256401
Main Authors: Lapierre, Bastien, Neupert, Titus, Trifunovic, Luka
Format: Article
Language:English
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Summary:We show that fully localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labeled by integers. The phase transition occurs only when the system becomes conducting at some filling. We find that these novel topological phases are fundamentally distinct from insulators without disorder: they are guaranteed to host delocalized boundary states giving rise to the quantized boundary Hall conductance, whose value is equal to the bulk topological invariant.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.129.256401