Research Based On The CT Invariant Of Ferromagnetic Graphene In Superconducting Transport

In recent years, the topological insulators attract many researchers in condensed matter physics discipline. Recently, someone predicts a new quantum spin hall effect, it exists in the ferromagnetic graphene system in which has vertical magnetic field effects. This system has the invariance of the CT, which meets the time reversal symmetry no longer, but it has the characteristics of the electronic- hole inversion symmetry, it makes theoretical system have new progress.Despite the full research of superconducting coupling system for graphene, no one has thought about the problems based on the ferromagnetic graphene with CT invariance and superconducting coupling system yet. Therefore, we start from this new topological configuration of graphene, using the tight-binding model and the non equilibrium green’s function method to the study of such a coupling system. Compared to the previous model system, we focus on what is the difference between them. In this article, we introduced the new change of reflection coefficient in the coupling system. It shows that the system is also protected by CT invariance, and has excellent properties such as resistance disorder interference. At the same time, we also explain the causes of these phenomena from the angle of band structure.These new results provide certain theoretical guidance for future theoretical research and electronic component preparation.