Chmela, Florian G. and Obermair, Gustav M. (2002) On the Green function of the almost-Mathieu operator. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 35 (10): PII S0305-. pp. 2449-2455. ISSN 0305-4470
Full text not available from this repository.Abstract
The square tight-binding model in a magnetic field leads to the almost-Mathieu operator, which, for rational fields, reduces to a q x q matrix depending on the components mu, nu of the wavevector in the magnetic Brillouin zone. We calculate the corresponding Green function without explicit knowledge of eigenvalues and eigenfunctions and obtain analytical expressions for the diagonal and the first off-diagonal elements; the results which are consistent with the zero-magnetic-field case can be used to calculate several quantities of physical interest (e.g. the density of states over the entire spectrum, impurity levels in a magnetic field).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HARPER; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Nov 2021 11:05 |
| Last Modified: | 03 Nov 2021 11:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/40469 |
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