Dimensional Dependence of Critical Exponent of the Anderson Transition in the Orthogonal Universality Class

Abstract

We report improved numerical estimates of the critical exponent of the Anderson transition in Anderson's model of localization in $d=4$ and $d=5$ dimensions. We also report a new Borel-Padé analysis of existing $\epsilon$ expansion results that incorporates the asymptotic behaviour for $d\to \infty$ and gives better agreement with available numerical results.

6 pages, 6 figures, submitted to Journal of Physical Society of Japan ; revised in response to the referee's comments

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