Anomalies and non-log-normal tails in one-dimensional localization with power-law disorder
| dc.creator | Titov, M. | |
| dc.creator | Schomerus, H. | |
| dc.date | 2003-02-27 | |
| dc.date.accessioned | 2026-07-07T06:28:49Z | |
| dc.date.available | 2026-07-07T06:28:49Z | |
| dc.description | Within a general framework, we discuss the wave function statistics in the Lloyd model of Anderson localization on a one-dimensional lattice with a Cauchy distribution for the random on-site potential. We demonstrate that already in leading order in the disorder strength, there exists a hierarchy of anomalies in the probability distributions of the wave function, the conductance, and the local density of states, for every energy which corresponds to a rational ratio of wave length to the lattice constant. We also show that these distribution functions do have power-law rather then log-normal tails and do not display universal single-parameter scaling. These peculiarities persist in any model with power-law tails of the disorder distribution function. | |
| dc.description | 4 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0302580 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0302580 | |
| dc.identifier | Phys. Rev. Lett. 91, 176601 (2003) | |
| dc.identifier | doi:10.1103/PhysRevLett.91.176601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97827 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Anomalies and non-log-normal tails in one-dimensional localization with power-law disorder | |
| dc.type | text |