Numerical studies of Anderson transition

Abstract

We present numerical results for the statistics of $z$'s ($z$'s are defined as logarithm of eigenvalues of the transfermatrix $T^{†}T$) at the critical points of Anderson transition in 3D and 4D. The change of the density of $z$ due to the crossover from the metallic to the localized regime is described. Linear behavior $\rho (z)=z$ at the critical point in 3D is proven and discussed. In the insulating regime, the universal form of $\rho$ has been found.

LATEX, 6 .eps figures