Absence of the Aharonov-Bohm effect of chiral Majorana fermion edge states

Majorana fermions in a superconductor hybrid system are charge neutral\nzero-energy states. For the detection of this unique feature, we propose an\ninterferometry of a chiral Majorana edge channel, formed along the interface\nbetween a superconductor and a topological insulator under an external magnetic\nfield. The superconductor is of a ring shape and has a Josephson junction that\nallows the Majorana state to enclose continuously tunable magnetic flux.\nZero-bias differential electron conductance between the Majorana state and a\nnormal lead is found to be independent of the flux at zero temperature,\nmanifesting the Majorana feature of a charge neutral zero-energy state. In\ncontrast, the same setup on graphene has no Majorana state and shows\nAharonov-Bohm effects.\n