Detection of Majorana fermions in an Aharonov—Bohm interferometer

Abstract

By using the non-equilibrium Green's function technique, we investigate the electronic transport properties in an Aharonov—Bohm interferometer coupling with Majorana fermions. We find a fixed unit conductance peak which is independent of the other factors when the topological superconductor is grounded. Especially, an additional phase appears when the topological superconductor is in the strong Coulomb regime, which induces a new conductance resonant peak compared with the structure of replacing the topological superconductor by a quantum dot, and the conductance oscillation with the magnetic flux reveals a 2π phase shift by raising (lowering) a charge on the capacitor.