title: Detecting the Exchange Phase of Majorana Bound States in a Corbino Geometry Topological Josephson Junction.
abstract: A phase from an adiabatic exchange of Majorana bound states (MBS) reveals their exotic anyonic nature. For detecting this exchange phase, we propose an experimental setup consisting of a Corbino geometry Josephson junction on the surface of a topological insulator, in which two MBS at zero energy can be created and rotated. We find that if a metallic tip is weakly coupled to a point on the junction, the time-averaged differential conductance of the tip-Majorana coupling shows peaks at the tip voltages eV=±(α-2πl)ℏ/T_{J}, where α=π/2 is the exchange phase of the two circulating MBS, T_{J} is the half rotation time of MBS, and l an integer. This result constitutes a clear experimental signature of Majorana fermion exchange.
authors.affiliation: Institute for Mathematical Physics, TU Braunschweig, D-38106 Braunschweig, Germany.
authors.forename: Sunghun
authors.initials: S
authors.lastname: Park
authors.affiliation: Institute for Mathematical Physics, TU Braunschweig, D-38106 Braunschweig, Germany.|Laboratory for Emerging Nanometrology Braunschweig, D-38106 Braunschweig, Germany.
authors.forename: Patrik
authors.initials: P
authors.lastname: Recher