Transport properties of Majorana-Josephson interferometer

We study the transport properties of Majorana-Josephson interferometer, which is consisted of a two-terminal quantum anomalous Hall insulator strip with two superconducting bars grown over it, to showcase the interference nature of chiral Majorana modes. In this Majorana-Josephson interferometer, the interference effect is caused by a Majorana valve between two topological superconductors that form a Josephson junction. Its transport observables exhibit interference patterns depending on the Josephson phase as well as the junction length. We also show that the interference patterns are robust against weak disorder while strong dephasing effect destroys them. Interestingly, a Majorana-Josephson interferometer can work as two effectively separated Mach-Zennder interferometers, and it is even able to detect the Z2 phase of quantum vortices in topological superconductors. Experimental observation of these interference patterns will probe the topological superconducting phase in related systems and may pave a path for their further manipulations in topological quantum computation.