Tunable Josephson Current through a Semiconductor Quantum Dot Hybridized to Majorana Trijunction

We investigate theoretically the Josephson current through one semiconductor quantum dot (QD) coupled to triple nanowires (junctions) with Majorana bound states (MBSs) prepared at their ends. find that not only strength but also period of flowing between left and right junctions via can be fully controlled in terms third junction side-coupled QD. When phase factor is zero junction, which acts as a regulator, 2π-period function difference phases junctions. Now, magnitude suppressed by hybridization QD regulator junction. The becomes 4π under condition nonzero regular thus either or sign (flow direction) this trijunction device. This difficult realize usual tow-terminal structure. It found direct overlap MBSs generally enhances current’s amplitude, those suppress current. above results are explained help device’s energy diagram carrying density (CCDOS) might applied for adjusting superconducting coated conductors technologies.