Transport properties of a Majorana trijunction

Abstract

By considering three topological-superconductor nanowires that host Majorana bound states (MBSs) to be coupled with one another in the T-shaped manner, we construct the Majorana trijunction and investigate the transport characteristics driven by the MBSs. It is shown that the MBS-lead coupling manners and the Majorana-mode natures in the topological-superconductor nanowires play different roles in governing the transport properties in this trijunction. The former determines the relationships between the zero-bias Fano factors and differential conductances, and its change induces two different expressions of such relationships. Instead, the latter makes its dominant contribution to the differential conductance lineshapes and the zero-bias conductance values. We believe that these results can be helpful in further understanding the transport properties of MBS-based junctions.