Abstract
We investigate the persistent current in one mesoscopic ring formed by the couplings between the end dots of a quantum dot chain and one Majorana bound states (MBS). It is found that the persistent-current properties are dependent on the dot-number parity of the chain. When the dot number is odd, the persistent current emerges with its oscillation by tuning the magnetic flux in the ring. However, if the dot number is even, the persistent current will always be zero regardless of the presence of Majorana zero mode. By transforming the system Hamiltonian into the Majorana representation, all the results are analyzed in detail. We believe that these results provide new information for understanding the MBS-assisted electron motion property in the mesoscopic system.
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