Numerical studies of Anderson transition

Details Numerical studies of Anderson transition Numerical studies of Anderson transition

1999-08-10

arxiv.org/abs/cond-mat/9908138v1

Ann. Physik (Leipzig) 8 (1999) SI 165

Physics

Condensed Matter

Disordered Systems and Neural Networks

LATEX, 6 .eps figures

Scientific paper

We present numerical results for the statistics of $z$'s ($z$'s are defined as logarithm of eigenvalues of the transfermatrix $T^\dag T$) 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.

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