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

摘要

The Anderson transition in three dimensions in a randomly varying magneticflux is investigated in detail by means of the transfer matrix method with highaccuracy. Both, systems with and without an additional random scalar potentialare considered. We find a critical exponent of $\nu=1.45\pm0.09$ with randomscalar potential. Without it, $\nu$ is smaller but increases with the systemsize and extrapolates within the error bars to a value close to the above. Thepresent results support the conventional classification of universality classesdue to symmetry.