Coulomb-drag effect between two quantum wires: integrable models with long-range potentials

Abstract

The exact solution of the one-dimensional Calogero–Sutherland models with spin-exchange and sinh^{− 2}(r) and r ^{− 2} interactions, and the supersymmetric t–J-model with long-range exchange interaction is used to calculate the drag current between two parallel quantum wires. The critical exponent for the drag current at low temperatures is obtained by means of the mesoscopic energy spectrum and conformal field theory. Since the interaction in the above models is repulsive, the drag current is opposite to the driving current.

Acknowledgement

The support by the US Department of Energy under grant DE-FG02-98ER45707 and by the US National Science Foundation under grant DMR01-05431 is acknowledged.