Anderson transitions in three-dimensional disordered systems with randomly varying magnetic flux

Abstract

The Anderson transition in three dimensions in a randomly varying magnetic flux is investigated in detail by means of the transfer matrix method with high accuracy. Both, systems with and without an additional random scalar potential are considered. We find a critical exponent of $ν=1.45\pm0.09$ with random scalar potential. Without it, $ν$ is smaller but increases with the system size and extrapolates within the error bars to a value close to the above. The present results support the conventional classification of universality classes due to symmetry.