Abstract
The Bogoliubov-de Gennes equation is applied to the study of the spin-orbit coupling (SOC) effects in s-wave superconductor/insulator/d-wave superconductor junctions. It is found that the dc Josephson currents show a nonmonotonic dependence on SOC scattering strength. The phase-current relationship for the spin-up and spin-down channels deviates substantially from sin2φ because of the spin-orbit scattering, so the periods of oscillation curves are 2π for the total Josephson current at α=π/4. An alternative method to confirm the effects of the spin-orbit scattering is the measurement of the phase-current relationship.
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