PERIODIC AND NONPERIODIC BAND RANDOM MATRICES - STRUCTURE OF EIGENSTATES

Authors
IZRAILEV FM MOLINARI L ZYCZKOWSKI K
Citation
Fm. Izrailev et al., PERIODIC AND NONPERIODIC BAND RANDOM MATRICES - STRUCTURE OF EIGENSTATES, Journal de physique. I, 6(4), 1996, pp. 455-468
Citations number
38
Categorie Soggetti
Physics
Journal title
Journal de physique. I → ACNP
ISSN journal
11554304
Volume
6
Issue
4
Year of publication
1996
Pages
455 - 468
Database
ISI
SICI code
1155-4304(1996)6:4<455:PANBRM>2.0.ZU;2-V
Abstract
The structure of eigenstates for the ensembles of standard and periodi c Band Random Matrices (BRM) is analysed. The main attention is drawn to the scaling properties of the inverse participation ratio and other measures of localization length. Numerical data are compared with ana lytical results recently derived for standard BRMs of very large band size. The data for periodic and standard BRM allow us to exhibit the i nfluence of boundary conditions on the properties of eigenstates.