Two-parameter scaling in the wigner ensemble

Mario Feingold, Alessandro Gioletta, Felix M. Izrailev, Luca Molinari

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

The Wigner ensemble of band random matrices describes the statistical properties of strongly chaotic Hamiltonians; it may also be viewed as a disordered tight-binding model with an electric field. We investigate the scaling properties of the localization of eigenstates and that of the distribution of level spacings, P(s), for finite matrices. We show that both quantities are uniquely determined by two scaling parameters.

Original languageEnglish
Pages (from-to)2936-2939
Number of pages4
JournalPhysical Review Letters
Volume70
Issue number19
DOIs
StatePublished - 1 Jan 1993

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