Zd. Wang et al., AHARONOV-CACHER EFFECT FOR FLUXONS IN A SUPERCONDUCTING RING WITH WEAK DISSIPATION, Czechoslovak journal of Physics, 46, 1996, pp. 2381-2382
Based on the path integral formalism and taking into account the effec
t of dissipation, we study quantum interference via the Aharonov-Cashe
r effect for fluxons in a ring-shaped superconductor. Both the transmi
ssion probability and the electric resistance are derived. It is shown
that a quantum interference effect is exhibited in the resistance in
the presence of weak dissipation. Our analysis may also be applied to
a Josephson-junction array system.