Effect of disorder on the non-dissipative drag

In this paper we consider the effect of disorder on the non-dissipative Coulomb drag between two mesoscopic metal rings at zero temperature. Ring 1 has an Aharonov-Bohm flux present which creates a persistent current J_0. Ring 2 interacts with ring 1 via the Coulomb potential and a drag current, J_d is produced. We show that this drag current persists with finite disorder in each ring, and that for small disorder, J_d decreases with the square of the disorder amplitude.