Effect of disorder on the nondissipative drag between two mesoscopic metal rings

Abstract

In this paper, we consider the effect of disorder on the nondissipative Coulomb drag between two mesoscopic metal rings at zero temperature. Ring 1 has an Aharonov-Bohm flux present, which creates a persistent current J0. Ring 2 interacts with ring 1 via the Coulomb potential and a drag current, Jd is produced. We show that this drag current persists with finite disorder in each ring, and that for small disorder, Jd decreases with the square of the disorder amplitude. We present analytical as well as numerical results indicating that the drag current has a stronger dependence on disorder than the single-ring persistent current.