Abstract
We study the nearest-level-spacing distribution function P(s) in a disordered system near the metal-insulator transition. We claim that in the limit of an infinite system there are only three possible functions P(s): Wigner surmise (s) in a metal, Poisson law (s) in an insulator, and a third one (s), exactly at the transition. The function is an interesting hybrid of (s) and (s), it has the small-s behavior of the former and the large-s behavior of the latter one. A scaling theory of critical behavior of P(s) in finite samples is proposed and verified numerically.
- Received 6 October 1992
DOI:https://doi.org/10.1103/PhysRevB.47.11487
©1993 American Physical Society