Disappearance of ensemble-averaged Josephson current in dirty superconductor-normal-superconductor junctions of d-wave superconductors - art. no. 014511

We discuss the Josephson current in superconductor/dirty normal conductor/superconductor junctions, where the superconductors have d(x2)-(y2) pairing symmetry. The low-temperature behavior of the Josephson current depends on the orientation angle between the crystalline axis and the normal of the junction interface. We show th:lt the ensemble-averaged Josephson current vanishes when the orientation angle is pi /4 and the normal conductor is in the diffusive transport regime. The d(x2-y2)-wave pairing symmetry is responsible for this fact.