Year: 2022
Type: article
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.
Source: Journal of Mathematical Physics
DOI: 10.1063/5.0098471
Authors: Matthias Ludewig, Guo Chuan Thiang
Institutions: University of Regensburg, Peking University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4225088426