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 (z)= z at the critical point in 3D is proven and discussed. In the insulating regime, the universal form of has been found.

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