Josephson Weak Links in Chiral Superconductors

We report results for the current-phase relation (CPR) for Josephson weak links coupling chiral p-wave superconductors. We highlight the role of subgap surface Andreev bound states as well as the orientation of the chiral axes of the superconducting leads to the boundary on the current transported by the phase-sensitive point-contact Andreev bound states. For chiral axes that are parallel to the boundary, but oppositely oriented, we find that a sub-gap bound state near the gap edge leads to a π-junction, i.e. an inverted CPR. For finite-size channels the CPR develops a metastable branch that extends to phase bias θ>π. We report on the structure of the local order parameter, current and magnetic field within the channel, for stable and metastable branches, as a function of the relative orientation of chiral axes of the leads. The magnetic field distribution provides a "fingerprint" of chiral superconductivity in the leads.