Large-scale geometry obstructs localization
arXiv:2204.12895 · doi:10.1063/5.0098471
Abstract
We explain the coarse geometric origin of the fact that certain spectral subspaces of topological insulator Hamiltonians are delocalized, in the sense that they cannot admit an orthonormal basis of localized wavefunctions, with respect to any uniformly discrete set of localization centers. This is a robust result requiring neither spatial homogeneity nor symmetries, and applies to Landau levels of disordered quantum Hall systems on general Riemannian manifolds.
arXiv comment12 pages, Minor improvements made
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