Two-parameter scaling in the Wigner ensemble. Academic Article uri icon

abstract

  • 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.

publication date

  • January 1, 1993