Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 68: Topology: Other Topics

TT 68.2: Vortrag

Freitag, 5. April 2019, 09:45–10:00, H22

Superconducting proximity effect in a fractional quantum Hall edge state — •Andreas B. Michelsen¹, Solofo Groenendijk¹, Patrik Recher², Tobias Meng³, Bernd Braunecker⁴, and Thomas Schmidt¹ — ¹Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg — ²Institut für Mathematische Physik, Technische Universität Braunschweig, D-38106 Braunschweig, Germany — ³Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland — ⁴SUPA, School of Physics and Astronomy, University of St Andrews, North Haugh, St Andrews KY16 9SS, UK

Parafermions have emerged as a promising platform for topological quantum computation. Current proposals for their experimental realization are usually centered around inducing them in topological edge states. This can be achieved through the application of the superconducting proximity effect to a fractional quantum Hall edge state, where Cooper pairs tunnel to form Laughlin quasiparticles, which retain the pair-correlation on a significant length scale.

While induced superconductivity is rather well understood in topological insulator or integer quantum Hall edge states, the theoretical understanding of this phenomenon in fractional quantum Hall edge states is so far rudimentary. We thus expand on the understanding of this process through a microscopic investigation of the proximity effect in such edge states.