Supercurrent rectification with time-reversal symmetry broken multiband superconductors

We consider nonreciprocal supercurrent effects in Josephson junctions based\non multiband superconductors with a pairing structure that can break\ntime-reversal symmetry. We demonstrate that a nonreciprocal supercurrent can be\ngenerally achieved by the cooperation of interband superconducting phase\nmismatch and interband scattering as well as by multiband phase frustration.\nThe effect of interband impurity scattering indicates that the amplitude and\nsign of the nonreciprocal supercurrent are sensitive to the interband phase\nrelation. For the case of a three-band superconductor, due to phase\nfrustration, we show that the profile of the supercurrent rectification is\nmarked by a hexagonal pattern of nodal lines with vanishing amplitude.\nRemarkably, around the nodal lines, the supercurrent rectification amplitude\nexhibits three-fold structures with an alternating sign. We show that the\nhexagonal pattern and the three-fold structure in the interband phase space\nturn out to be dependent on the tunneling amplitude of each band. These\nfindings provide hallmarks of the supercurrent rectification which can be\npotentially employed to unveil the occurrence of spin-singlet multiband\nsuperconductivity with time-reversal symmetry breaking.\n