Non-Monotone Characteristic of Spectral Statistics in the Transition between Poisson and Gauss
| dc.creator | Hasegawa, Hiroshi | |
| dc.creator | Li, Baowen | |
| dc.creator | Ma, Jian-Zhong | |
| dc.creator | Hu, Bambi | |
| dc.date | 1998-08-03 | |
| dc.date.accessioned | 2026-07-07T03:11:13Z | |
| dc.date.available | 2026-07-07T03:11:13Z | |
| dc.description | We have computed the spectral number variances of an extended random matrix ensemble predicted by Guhr's supersymmetry formula, showing a non-monotone increase of the curves that arises from an "overshoot" of the two-level correlation function above unity. On the basis of the most general form of $N$-level joint distribution that meets sound probabilistic conditions on matrix spaces, the above characteristic may be attributed to the {\it attractiveness} of the pair potential in long range($E >$ Thouless energy) of the underlying level gas. The approach of level dynamics indicates that the result is "anti-screening" of the level repulsion in short-range statistics of the usual random matrix prediction until the joint level distribution undergoes a phase transition (the Anderson transition). | |
| dc.description | 10 Revtex pages, 3 PS figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9808028 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9808028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28492 | |
| dc.subject | Condensed Matter | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Non-Monotone Characteristic of Spectral Statistics in the Transition between Poisson and Gauss | |
| dc.type | text |