  Since the discovery of the Berry phase, there has been much interest in the
study of topological effects in the fields of quantum mechanics and condensed
matter physics. In this paper we investigate the persistent charge current in
mesoscopic disorderd rings and compute the disorder averaged persistent current
using the diagrammatic method. We find that within the adiabatic regime the
average current oscillates as a function of the geometric flux which is related
to the Berry phase.
