Abstract
We report a theoretical study on the spin and charge transport in hybridtriplet Josephson junctions, of which the triplet pair potentials could have bothdifferent orbital symmetries and spin states. Based on a lattice model and aHamiltonian method, we find that the spin/charge supercurrent is proportional tosin2φ withφ being the macroscopic superconducting phase, coming from the second-order Josephsoneffect, when the orbital symmetries of pair potentials in the two triplet superconductors areorthogonal to each other. A dissipationless transverse spin current is also found flowing atthe interface of the junction and its polarization points along the cross-product of twod vectors, which arises from the combined effect of the orthogonal orbital symmetries and misalignmentof d vectors. In a special hybrid junction, where the zero-energy states are absent at the interface ofthe junction, there is no net spin supercurrent flowing through the junction although twod vectors can be perpendicular to each other, whereas a mode-resolved spin supercurrent isflowing in the system instead.
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