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Detecting the Exchange Phase of Majorana Bound States in a Corbino Geometry Topological Josephson Junction

Sunghun Park, Patrik Recher

DOI 10.1103/PhysRevLett.115.246403 · Physical Review Letters

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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/TJ, where α=π/2 is the exchange phase of the two circulating MBS, TJ is the half rotation time of MBS, and l an integer. This result constitutes a clear experimental signature of Majorana fermion exchange.

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