LEVEL-SPACING UNIVERSALITY IN A RANDOM-MATRIX MODEL WITH AN EXTERNAL SOURCE

Authors
HIKAMI S
Citation
S. Hikami, LEVEL-SPACING UNIVERSALITY IN A RANDOM-MATRIX MODEL WITH AN EXTERNAL SOURCE, Philosophical magazine. B. Physics of condensed matter.Statistical mechanics, electronic, optical and magnetic, 77(5), 1998, pp. 1173-1179
Citations number
17
Categorie Soggetti
Physics, Applied",Mechanics,"Physics, Condensed Matter","Material Science
Journal title
Philosophical magazine. B. Physics of condensed matter.Statistical mechanics, electronic, optical and magnetic → ACNP
ISSN journal
13642812
Volume
77
Issue
5
Year of publication
1998
Pages
1173 - 1179
Database
ISI
SICI code
1364-2812(1998)77:5<1173:LUIARM>2.0.ZU;2-#
Abstract
We consider a random-matrix theory with an external source and discuss the universality of the nearest-neighbour level-spacing probability p (s), which becomes independent of the external source eigenvalues. Whe n the external source eigenvalues are separately given in a wide regio n, the breakdown of the universality appears. The average of p(s) for the randomly chosen external eigenvalues shows the cross-over from the universal Gaussian unitary ensemble behaviour to Poissonian behaviour .