Universal level-spacing statistics in quasiperiodic tight-binding models
| dc.creator | Grimm, Uwe | |
| dc.creator | Roemer, Rudolf A. | |
| dc.creator | Schreiber, Michael | |
| dc.creator | Zhong, Jian-Xin | |
| dc.date | 1999-08-04 | |
| dc.date.accessioned | 2026-07-07T03:14:08Z | |
| dc.date.available | 2026-07-07T03:14:08Z | |
| dc.description | We study statistical properties of the energy spectra of two-dimensional quasiperiodic tight-binding models. The multifractal nature of the eigenstates of these models is corroborated by the scaling of the participation numbers with the systems size. Hence one might have expected `critical' or `intermediate' statistics for the level-spacing distributions as observed at the metal-insulator transition in the three-dimensional Anderson model of disorder. However, our numerical results are in perfect agreement with the universal level-spacing distributions of the Gaussian orthogonal random matrix ensemble, including the distribution of spacings between second, third, and forth neighbour energy levels. | |
| dc.description | 5 pages, 6 PostScript figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9908063 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9908063 | |
| dc.identifier | Mat. Sci. Eng. A 294-296 (2000) 564-567 | |
| dc.identifier | doi:10.1016/S0921-5093(00)01173-4 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29563 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Materials Science | |
| dc.title | Universal level-spacing statistics in quasiperiodic tight-binding models | |
| dc.type | text |