Abstract
The properties of an electron in a disordered solid are discussed with use of a matrix nonlinear model first introduced by Wegner and Schäfer. The model is defined on the noncompact space where is the number of replicas. This noncompact symmetry represents the assential physics of the problem. It is found that all states are localized in two dimensions; above two dimensions for weak disorder there are mobility edges, but these merge above a critical amount of disorder and all states become localized.
- Received 17 April 1980
DOI:https://doi.org/10.1103/PhysRevLett.45.394
©1980 American Physical Society