COULOMB DRAG IN MESOSCOPIC RINGS

We develop a Luttinger-liquid theory of the Coulomb drag of persistent currents flowing in concentric mesoscopic rings by incorporating nonl inear corrections to the electron dispersion relation. We demonstrate that at low temperatures, interactions between electrons in different rings generate an additional phase and thus alter the period of Aharon ov-Bohm oscillations. The resulting nondissipative drag depends strong ly on the relative parity of the electron numbers. We also show that i nteractions set a new temperature scale below which the linear respons e theory does not apply at certain values of external flux.