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Numerical studies of Anderson transition

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

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P. Markos. 1999-08-10. Numerical studies of Anderson transition. https://arxiv.org/abs/cond-mat/9908138

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