PERTURBATION-THEORY FOR THE ROSENZWEIG-PORTER MATRIX MODEL

Authors
ALTLAND A JANSSEN M SHAPIRO B
Citation
A. Altland et al., PERTURBATION-THEORY FOR THE ROSENZWEIG-PORTER MATRIX MODEL, Philosophical magazine. B. Physics of condensed matter.Statistical mechanics, electronic, optical and magnetic, 77(5), 1998, pp. 1231-1234
Citations number
15
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
1231 - 1234
Database
ISI
SICI code
1364-2812(1998)77:5<1231:PFTRMM>2.0.ZU;2-X
Abstract
We study a generalized matrix ensemble (the Rosenzweig-Porter model) w hich contains a parameter mu. This parameter scales with the matrix si ze N as mu similar to N-alpha. Depending on the value of the exponent alpha, three distinct level statistics are possible, in the N --> infi nity limit. We show that a rather complete understanding of level corr elations can be gained from the standard diagrammatic perturbation the ory.