The Study Of Properties Of The Transport Of The Majorana Fermion-Quantum Dot Hybrid System

In recent years,as a result of the edge owing the unique Majorana bound state,the topological superconductor becomes a new type of quantum system,which differentiates the topological superconductor from the traditional superconductor.Because the Majorana fermion has a unique property and the potential application value in many aspects,the study of the Majorana fermion becomes one of the most talked about the forefront of the subject in the physics,especially in the condensed matter physics.Since the quantum dots are well the quantum system for probing the Majorana fermion in the laboratory research and in theoretical research,it is very meaningful for studying of the effect of the Majorana fermion on transport properties of the single quantum dot.We theoretically investigate properties of the transport of the Majorana fermion-Quantum dot hybrid system.With the framework of the generalized master equation,we analyze the current,differential conductance and Fano factor as a function of bias.For the sake of contrast,we also investigate properties of the transport of the fermion-Quantum dot hybrid system.Our results show:1.In the Majorana fermion-Quantum dot hybrid system,the couplingT_? of the Majorana fermion and electrons on the dot eliminates quartet states of the system and make the system into four doublet states.With the increase ofT_?,the whole system maintain a double degeneracy quantum state with one-to-one match between evenparity quantum state and odd parity quantum state;in other words,T_? eliminates the four degeneracy states of the system,but maintains double degeneracy states of the system,which lead to a zero-bias anomaly.2.In the Majorana fermion-Quantum dot hybrid system,the Coulomb interaction increases the energy of the quantum state e4 and o4,thus increases current steps,but the Coulomb interaction does not affect the quantum degeneracy of the system,nor suppress the zero bias anomaly,but has the significant influence on the level of the quantum state,thus with the increase ofT_?,the current line shows four steps.