The Correlated Characteristic In Double Quantum Dots Coupling With Majorana Fermions

In recent years,many scientists have paid attention to the study of the transport properties of Majorana fermions.Because Majorana fermions have many peculiar quantum properties and have great potential applications in topological quantum computation,it has become a hot research topic in condensed matter physics field.In this paper,the correlated characteristic of Majorana fermions coupled with double quantum dots are discussed by using the method of non-equilibrium Green’s function.This paper is divided into four sections.The first section introduces the background of Majorana fermions,the method of detecting Majorana fermions,and the relevant knowledge of Andreev reflection.In the second section,the model and Hamiltonian of the double quantum dots coupled with Majorana fermion are described in detail.By using Green’s function method,the relation between energy and transmission coefficient in Andreev reflection in different cases in the system is calculated.The effects of different Andreev reflections on the correlation coefficient of the system were also studied.The calculation results are described in detail in the third section.Firstly,the influence of the coupling of quantum dots with Majorana fermions on the transmission coefficient is studied.The results show that the coupling of quantum dots and Majorana fermions inhibits the local Andreev reflection.Secondly,we studied the influence of the polarization intensity p and the angle of the direction of the magnetic moment wuth the correlated characteristic.It is found that the increase of polarization intensity can enhance the electron tunneling process.Finally,we study the variation of correlation coefficient with energy.In the fourth section,we summarize the results of the study.