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

Yoshiki Ueoka, Keith Slevin

Published 2014-03-19, updated 2014-06-17Version 2

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-Pad\'e analysis of existing $\epsilon$ expansion results that incorporates the asymptotic behaviour for $d\to \infty$ and gives better agreement with available numerical results.