| Published Version Download ( PDF | 402kB) | License: Creative Commons Attribution 4.0 |
Gaplessness of Landau Hamiltonians on Hyperbolic Half-planes via Coarse Geometry
Ludewig, Matthias
and Thiang, Guo Chuan
(2021)
Gaplessness of Landau Hamiltonians on Hyperbolic Half-planes via Coarse Geometry.
Communications in Mathematical Physics 386, pp. 87-106.
Date of publication of this fulltext: 22 Apr 2021 08:40
Article
DOI to cite this document: 10.5283/epub.45572
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.
Alternative links to fulltext
Involved Institutions
Details
| Item type | Article | ||||
| Journal or Publication Title | Communications in Mathematical Physics | ||||
| Publisher: | Springer | ||||
|---|---|---|---|---|---|
| Place of Publication: | NEW YORK | ||||
| Volume: | 386 | ||||
| Page Range: | pp. 87-106 | ||||
| Date | 20 April 2021 | ||||
| Institutions | Mathematics > Prof. Dr. Bernd Ammann | ||||
| Identification Number |
| ||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-455725 | ||||
| Item ID | 45572 |
Export bibliographical data
Owner only: item control page
Download Statistics
Download Statistics