QUANTUM TRANSPORT OF VORTICES IN A WEAKLY DISSIPATIVE RING THREADED BY AN AHARONOV-CASHER FLUX - A TIGHT-BINDING MODEL

Based on the tight-binding model and taking into account the effect of dissipation as well as the disorder, we study quantum interference vi a the Aharonov-Casher effect for fluxons in a ring-shaped superconduct or. The electrical resistance in terms of the transmission probability for a quantum vortex to traverse the ring is calculated. It is shown that a quantum interference effect is exhibited in the resistance in t he presence of weak dissipation. Our analysis may also be applied to a Josephson-junction array system. In particular, by including the diso rder effect, we are able to explain the experimental measurements in t he dissipative regime done by Elion et al. [Phys. Rev. Lett. 71, 2311 (1993)]. [S0163-1829(97)52042-X].