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

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