Ludewig, Matthias and Thiang, Guo Chuan (2022) Large-scale geometry obstructs localization. JOURNAL OF MATHEMATICAL PHYSICS, 63 (9): 091902. ISSN 0022-2488, 1089-7658
Full text not available from this repository. (Request a copy)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. Published under an exclusive license by AIP Publishing.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HALL; EXISTENCE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Feb 2024 09:48 |
| Last Modified: | 01 Feb 2024 09:48 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57593 |
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