Ludewig, Matthias and Thiang, Guo Chuan (2021) Gaplessness of Landau Hamiltonians on Hyperbolic Half-planes via Coarse Geometry. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 386 (1). pp. 87-106. ISSN 0010-3616, 1432-0916
Full text not available from this repository. (Request a copy)Abstract
We use coarse index methods to prove that the Landau Hamiltonian on the hyperbolic half-plane, and even on much more general imperfect half-spaces, has no spectral gaps. Thus the edge states of hyperbolic quantum Hall Hamiltonians completely fill up the gaps between Landau levels, just like those of the Euclidean counterparts.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Jul 2022 08:14 |
| Last Modified: | 07 Jul 2022 08:14 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45896 |
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