The Level Spacing Distribution Near the Anderson Transition
| dc.creator | Aronov, A. G. | |
| dc.creator | Kravtsov, V. E. | |
| dc.creator | Lerner, I. V. | |
| dc.date | 1994-02-05 | |
| dc.date.accessioned | 2026-07-07T03:07:06Z | |
| dc.date.available | 2026-07-07T03:07:06Z | |
| dc.description | For a disordered system near the Anderson transition we show that the nearest-level-spacing distribution has the asymptotics $P(s)\propto \exp(-A s^{2-γ})$ for $s\gg \av{s}\equiv 1$ which is universal and intermediate between the Gaussian asymptotics in a metal and the Poisson in an insulator. (Here the critical exponent $0<γ<1$ and the numerical coefficient $A$ depend only on the dimensionality $d>2$). It is obtained by mapping the energy level distribution to the Gibbs distribution for a classical one-dimensional gas with a pairwise interaction. The interaction, consistent with the universal asymptotics of the two-level correlation function found previously, is proved to be the power-law repulsion with the exponent $-γ$. | |
| dc.description | REVTeX, 8 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9402027 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9402027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27052 | |
| dc.subject | Condensed Matter | |
| dc.title | The Level Spacing Distribution Near the Anderson Transition | |
| dc.type | text |