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