Study On Transport Properties Of Weyl Semi-metal Superconducting Junction

Since the first time we found Weyl semi-metals in topological materials,the study on Weyl transportability has attracted widespread attention.Weyl fermion is a very strange particle whose main feature is its specific chirality,and the odd properties of Weyl semi-metals lead to unique phenomena in the field of transport,Such as chiral anomalies,chiral magnetic effects,anomalous Hall effects,and non-local conductance,etc.In addition,Weyl semi-metals also have topological invariance,that is,adding a certain perturbation does not change its topological properties.In this paper,we use the unique chiral characteristics of Weyl semi-metal to calculate the tunneling current that forms a superconducting junction with superconducting junction and is affected by the magnetic field.First,we studied the change of the conductance of N-WSM-SC superconducting junction with the magnetic field.Here,we find that the change in the magnetic field in the Weyl semimetal is simply changing the position of the Weyl point in the momentum space,and we calculated this relationship.We also calculated the reflection coefficient of Weyl semi-metal superconducting superconducting junction interface by BTK theory,and found that the Weyl semi-metal superconducting interface has the characteristics of normal reflection not disappearing compared with the normal metal superconducting interface.And due to the break of the symmetry of Weyl semi-metal time inversion,an additional phase is accumulated in the electron-hole conversion process,which is related to the Weyl wave vector.We finally use the effect of the magnetic field on the Weyl wave vector to regulate this extra phase,thereby regulating the tunneling current.Then,based on this model,we calculate the change of the Josephson flow in the Weyl semi-metal superconducting Josephson junction under the action of magnetic field.In this model,we mainly use the reflection matrix to calculate the Andreev bound state.The electron hole wave function is written in the form of four components,and the wave function is decomposed into two two-dimensional equations by using the transformation mechanism of electron holes in the superconducting interface.The Josephson current is calculated by calculating the Andreev bound state,and the magnetic field is observed.At the same time,we can also see the effect of the Weyl semi-metal space size on the Josephson current in this model,which is not available for normal metal Josephson currents.Through the two Weyl superconducting tunnel junction current models,we obtain thecurrent spectrum of Weyl semi-metal superconducting tunnel under magnetic field control,as well as other parameters,such as Weyl space size,and the current spectrum under variation.We found that in addition to the predecessors using the gate voltage or electric field to regulate the Weyl semi-metal superconducting tunnel current,the magnetic field also has a regulatory effect and higher sensitivity.This research lays the theoretical foundation for future Weyl semi-metal electronic devices.