Localization and absence of Breit-Wigner form for Cauchy random band matrices
| dc.creator | Frahm, Klaus M. | |
| dc.date | 2001-01-29 | |
| dc.date.accessioned | 2026-07-07T02:40:12Z | |
| dc.date.available | 2026-07-07T02:40:12Z | |
| dc.description | We analytically calculate the local density of states for Cauchy random band matrices with strongly fluctuating diagonal elements. The Breit-Wigner form for ordinary band matrices is replaced by a Levy distribution of index $μ=1/2$ and the characteristic energy scale $α$ is strongly enhanced as compared to the Breit-Wigner width. The unperturbed eigenstates decay according to the non-exponential law $\propto e^{-\sqrt{αt}}$. We analytically determine the localization length by a new method to derive the supersymmetric non-linear $σ$ model for this type of band matrices. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0101431 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0101431 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17299 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Localization and absence of Breit-Wigner form for Cauchy random band matrices | |
| dc.type | text |