CURRENT-CARRYING STATES IN A RANDOM MAGNETIC-FIELD

We report results of a numerical study of noninteracting electrons mov ing in two dimensions, in the presence of a random potential and a ran dom magnetic field for a sequence of finite sizes, using topological p roperties of the wave functions to identify extended states. Our resul ts are consistent with the existence of a second order localization-de localization transition driven by the random potential. The critical r andomness strength and localization length exponent are estimated via a finite-size scaling analysis.