Two-Dimensional Ginzburg-Landau Simulation of the Josephson Effect in Superfluid 3 He

Abstract

The current-phase relation across a Josephson junction (a small orifice) is studied in superfluid ³He by solving the Ginzburg-Landau equations numerically in two dimensions. The current-phase relation is found to be of regular type (slanted sine function) if the vectors of the B-phase order parameter are parallel. With antiparallel 's a qualitatively new relation is obtained which has two hysteretic jumps per 2π phase change. The effect, which should be experimentally observable, results from coupling between spin and mass currents. The A-phase is also studied.