Fraunhofer Spectra in Monopole Superconductor Josephson Junctions

Monopole superconductors arise from the non-trivial Berry phases of Cooper pairs which fundamentally change the corresponding superconducting gap function from the familiar description using s, p and d wave symmetry to exotic monopole harmonic symmetry. Because the U(1) phase of the pairing order cannot be well defined globally over an entire Fermi surface, we study the phase sensitive Fraunhofer patters in models of Josephson junctions between monopole superconductors and between a monopole superconductor and an s-wave superconductor using a gauge invariant description. When a magnetic field is applied to the junction, the interplay among the shifts in Cooper pair momentum and the thickness of the junction barrier gives rise to the zero patterns in the Fraunhofer spectra distinguishing from, for example, chiral p-wave superconductor Josephson junctions.