Study Of Transport Properties In Spin-triplet P-wave Superconductor Junctions

In recent years, many experimental and theoretical works support that the superconductivity of Sr2Ru04maybe spin-triplet p-wave pairing state. Since the formation of the zero-energy states (ZES) is a general phenomenon in unconventional superconductor junction, the zero-bias conductance peak appears in its conductance spectra, and it has been already observed in the experiment of the Sr2RuO4superconductor junctions.In the following chapter, by using the method of quantum statistics, we study the dc Josephson effect in s-wave superconductor/insulator/p-wave superconductor (s/I/p) junctions and the difference conductance of the normal metal/insulator/normal metal/insulator/p wave superconductor (N/I/N/I/p) junction by taking into account the spin-orbit coupling, and the tunneling conductance in graphene ferromagnet/p wave superconductor junctions at finite temperature. The dissertation consists of four chapters:In chapter one, we briefly introduce the Josephson effects in superconductor tunnel junction, the Andreev reflection properties in superconductor tunnel junction, and the spin-triplet p wave superconductor.In chapter two, by solving the Bogoliubov-de Gennes (BdG) equation, we investigate the quasi-particle’s transport properties in the s-wave superconductor/insulator/p-wave superconductor junctions by taking into account the spin-orbit coupling, and the relationship between current variation with temperature and the phase difference.In chapter three, by using the Blonder, Tinkham and Klapwijk (BTK) theory, we study the quasi-particle’s transport properties in the normal metal/insulator/normal metal/insulator/p-wave superconductor junctions by taking into account the spin-orbit coupling, and discuss the quantum oscillation phenomena.In chapter four, we study the quasi-particle’s transport properties in the graphene ferromagnet/insulator/p-wave superconductor junctions at finite temperature by solving the Dirac Bogoliubov-de Gennes (DBdG) equation, and numerical compute the difference conductance with changes in bias, investigate the effect of the ferromagnetic exchange energy and the temperature in the conductance spectra.