Topologically localized insulators
Mesoscale and Nanoscale Physics
2026-02-18 v2 Disordered Systems and Neural Networks
Abstract
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 labelled 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.
Cite
@article{arxiv.2110.14651,
title = {Topologically localized insulators},
author = {Bastien Lapierre and Titus Neupert and Luka Trifunovic},
journal= {arXiv preprint arXiv:2110.14651},
year = {2026}
}
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