MOTION OF A QUANTUM PARTICLE IN A RANDOM-FLUX FIELD

We consider a charged spinless quantum particle moving on a two-dimens ional square lattice. Each plaquette of the lattice is penetrated by a random magnetic flux with values homogeneously distributed in the int erval (0, 2pi) (in units of the elementary quantum flux h/e). The flux es in different plaquettes are statistically independent. With the pat h integral method, within the saddle-point approximation, we evaluated the averaged density of states. Our results are compared with the rec ent numerical-simulation predictions of Pryor and Zee.