Review of recent progress on numerical studies of the Anderson transition

Abstract

A review of recent progress in numerical studies of the Anderson transition in three dimensional systems is presented. From high precision calculations the critical exponent $ν$ for the divergence of the localization length is estimated to be $ν=1.57\pm 0.02$ for the orthogonal universality class, which is clearly distinguished from $ν=1.43\pm 0.03$ for the unitary universality class. The boundary condition dependences of some quantities at the Anderson transition are also discussed.