Nonlocality of Majorana bound states modulated by an embedded quantum dot

Abstract

We investigate the transport characteristics induced by the serially coupling of two pairs of Majorana bound states (MBSs) in two topological-superconducting nanowires. By considering the direct and indirect couplings of the MBSs via an embedded quantum dot (QD), we find that the coupling manner has an important influence on the nonlocality of MBSs. This is manifested as the change of conductance and Fano factors following the variation of the MBS-lead couplings, inter-MBS couplings, superconducting phase difference and the QD level, respectively. What is important is that the relationship of Fano factors can be altered by adjusting the coupling manner of the neighboring MBSs in the two nanowires. This indicates that the nonlocality of MBSs can be modulated by changing the inter-MBS couplings. • Nonlocality of Majorana bound states modulated by an embedded quantum dot is solved. • The influence of the direct and indirect couplings of the MBSs via an QD is considered. • The direct coupling of two pairs of MBSs is proposed. • The nonlocality of MBSs can be modulated by changing the inter-MBS couplings and the QD level. • Due to its nonlocality, braiding properties can be achieved, and thus quantum computing can be achieved.