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arxiv: cond-mat/9908138 · v1 · submitted 1999-08-10 · ❄️ cond-mat.dis-nn

Numerical studies of Anderson transition

classification ❄️ cond-mat.dis-nn
keywords andersoncriticalnumericalregimetransitionbeenbehaviorchange
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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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