A SOLVABLE RANDOM MATRIX MODEL FOR DISORDERED CONDUCTORS

We propose a random transfer matrix model for disordered systems which describes the distribution of conductance in the metallic as well as insulating regimes. The n-point correlation function of the eigenvalues can be obtained in terms of a known family of orthogonal polynomials. The model gives the well-known log-normal distribution of conductance in one dimension, and the universal conductance fluctuation in the metallic regime. The metal-insulator transition in this model is related to the opening of a gap in the density of eigenvalues near the origin, as a function of one parameter.