Study Of Transport Properties In D-wave Superconductor Junction

By using the method of quantum statistics and green function, we studied the spin-orbitcoupling (SOC) effects in the dc Josephson current in the s wave superconductor/insulator/dwave (s/I/d) superconductor junction. It is found that the dc Josephson currents show anonmonotonic dependence on SOC scattering strength. In the s/I/d superconductor junction,the current-phase relationship for the spin-up and spin-down channels deviates substantiallyfrom sin2because of the spin-orbit coupling scattering, so the periods of oscillationcurves are2π.We also studied quasi-particle transport in a graphene-based ferromafnet/insulater/d-hybrid wave (F/I/d hybrid wave) superconductor junction by using the theory namedBlonder-Tinkham-Klapwijklilun (BTK). It is found that the exchange splitting energydecreases the conventional Andreev reflection but enhance specular Andreev reflection in agraphene-based F/I/d hybrid wave superconductor junction. The differential conductancedecreases with increasing of exchange splitting energy whenE m EF, but The differentialconductance heighten with increasing of exchange splitting energy whenE m EF.We also studied spin-orbit coupling and finite quasi-particle lifetime effects in normalmetal/d wave (N/d) superconductor junction. In N/d superconductor junction, the conductancepeak heighten with increasing of SOC scattering strength in the high-transparency; but theconductance peak decreases with increasing of SOC scattering strength in the low-transparency; In the low-transparency instance, conductance peak show a nonmonotonicdependence on SOC scattering strength. Finite quasi-particle lifetime effects restrain theconductance peak in N/d superconductor junction.