Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 109: Transport: Majorana Fermions (jointly with DS, HL, MA, O)

TT 109.1: Talk

Friday, March 20, 2015, 09:30–09:45, H 0104

Majorana bound states in a Corbino geometry topological insulator Josephson junction — •Sunghun Park and Patrik Recher — Institute for Mathematical Physics, TU Braunschweig, Germany

An adiabatic exchange of Majorana bound states reveals their exotic anyonic nature. Here we propose an experimental setup consisting of a Corbino-geometry Josephson junction on the surface of a topological insulator, in which Majorana bound states can be created and transported. By solving the Bogoliubov-de Gennes equation, we show that two spatially separated Majorana bound states at zero excitation energy appear in the junction when two flux quanta are introduced, and that their positions can be moved by changing the superconducting phase difference across the junction. These features allow us to perform the exchange operation of the Majorana bound states if we vary the phase difference adiabatically.