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.
Two-parameter scaling in the wigner ensemble / M. Feingold, A. Gioletta, F.M. Izrailev, L. Molinari. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 70:19(1993), pp. 2936-2939. [10.1103/PhysRevLett.70.2936]
Two-parameter scaling in the wigner ensemble
L. MolinariWriting – Review & Editing
1993
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.
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