Two-parameter scaling in the Wigner ensemble

Mario Feingold, Alessandro Gioletta, Felix M. Izrailev, and Luca Molinari
Phys. Rev. Lett. 70, 2936 – Published 10 May 1993
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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.

  • Received 28 December 1992

DOI:https://doi.org/10.1103/PhysRevLett.70.2936

©1993 American Physical Society

Authors & Affiliations

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

  • Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel
  • Dipartimento di Fisica dell’Universita di Milano and Istituto Nazionale di Fisica Nucleare via Celoria 16, 20133 Milano, Italy
  • Budker Institute of Nuclear Physics, 630 090 Novosibirsk, Russia

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Vol. 70, Iss. 19 — 10 May 1993

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