| Majorana fermions have attracted much attention because of their potential applications in topological quantum computation.In recent years,people have been looking for a method to detect Majorana fermions and the transport properties of Majorana fermions in different systems have been studied.In this paper,based on the nonequilibrium Green function method,the transport properties of the photon assisted quantum dot –Majorana fermions system are studied.The model of the quantum dot coupling Majorana fermion is calculated.Previously,researchers have studied the transport properties of photon assisted quantum dots system.The model of the quantum dot is calculated.In order to compare the effect of Majorana fermions on the transport properties of quantum dots system,we compared the computing results of the two models.First of all,the relationship between the transmission coefficient and the energy are studied.Due to the photon assisted transport,the transmission coefficient varies with the energy except the major peak and there will be a photon assisted side peak.When the quantum dots are coupled to Majorana fermions,the major peak and the side peaks will split.Then the effect of the coupling strength on the transport properties of the system are studied.The results show that when we make the coupling between two Majorana fermions is zero,Whatever the value of the coupling strength ? between quantum dots and Majorana,The value of the transmission coefficient at the major peak and the side peak at the quantum dot coupling Majorana is always half the value of the transmission coefficient when the Majorana fermions is not coupled.This is a proof of the existence of MBS.And we also found an interesting phenomenon.The major peak and the side peak have the similar change rule when we change the value of the coupling strengthFinally,the variation of the conductance with the frequency are studied,and we can clearly observe the k order photon assisted tunneling peak from the results. |
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