The Study Of Josephson Junction In Holographic Superconductor

AdS/CFT has become a focus and had a wide range of applications in many ?elds,since it was proposed. Especially in condensed matter physics, one uses it to study the superconductor, the super?uid, the entanglement entropy and so on. One has constructed the(2+1)-dimensional holographic models of s-wave, p-wave and d-wave superconductor by the AdS/CFT correspondence and extended them to the(3+1)-dimensional cases.One also has built the holographic model of competition between the s-wave and p-wave superconductivity phases on basis of previous work and studied the models with di?erent gravity theories and backreaction.One not only studied the holographic superconductor but also studied the Josephson junction, superconductor in the external magnetic ?eld, vortex and so on which are associated with the experiments. Studying these problems contributes to use holographic principle to solve problems in the real world and understand the connection between the holographic superconductor and the real superconductor. The holographic Josephson junction is the emphasis of our work.In the probe limit, the holographic models of s-wave superconductor, p-wave conductor and competition between the s-wave and p-wave superconductivity phases have been constructed. We constructed the holographic model of hybrid and coexisting s-wave and p-wave Josephson junction on basis of these work. The model contains four kinds of junction: s+p-N-s+p junction, s+p-N-s junction, s+p-N-p junction and s-N-p junction. We studied the properties of these junction about the current, condensation and the maximal current. We ?nd that the current J is proportional to the sine of the phase di?erence ?,the maximal current Jmaxand the total condensation decay exponentially with the width of junction for the four junctions, respectively. Note that, for the s+p-N-s+p junction and s+p-N-p junction, Jmaxincreases with the growing temperature T. When the value of m2 increases, the current, the condensation and the maximal current will become larger. However, the maximal current Jmaxgoes down as temperature T grows for s+p-N-s junction and s-N-p junction.The holographic models of s-wave and p-wave superconductor with backreaction have been constructed and studied. Inspired by the previous work, we built the holographic models of s-wave and p-wave Josephson junction with backreaction, respectively. Through the calculation results, we ?nd that for the s-wave superconductor, for a ?xed value of m2,the current which changes with the di?erence phase, the condensation and the maximal current which changes with the width of the junction will become smaller if the strength of backreaction is larger. But the maximal current which changes with the increasing temperature will become larger with the increasing strength of backreaction. Meanwhile for a ?xed the strength of backreaction, the current, the condensation and the maximal current would be smaller as value of m2 increases. For p-wave Josephson junction, the property is the same as the case of s-wave Josephson junction.