Topologically Localized Insulators.

@article{Lapierre2021TopologicallyLI,
  title={Topologically Localized Insulators.},
  author={Bastien Lapierre and Titus Neupert and Luka Trifunovic},
  journal={Physical review letters},
  year={2021},
  volume={129 25},
  pages={
          256401
        }
}
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… 

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