Time-resolved electrical detection of chiral edge vortex braiding

A 2\pi 2 π phase shift across a Josephson junction in a topological superconductor injects vortices into the chiral edge modes at opposite ends of the junction. When two vortices are fused they transfer charge into a metal contact. We calculate the time dependent current profile for the fusion proce...

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Bibliographic Details
Published inSciPost physics Vol. 8; no. 1; p. 013
Main Authors Adagideli, Inanc, Hassler, Fabian, Grabsch, Aurélien, Pacholski, Michał, Beenakker, Carlo
Format Journal Article
LanguageEnglish
Published SciPost 01.01.2020
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Summary:A 2\pi 2 π phase shift across a Josephson junction in a topological superconductor injects vortices into the chiral edge modes at opposite ends of the junction. When two vortices are fused they transfer charge into a metal contact. We calculate the time dependent current profile for the fusion process, which consists of {\pm e/2} ± e / 2 charge pulses that flip sign if the world lines of the vortices are braided prior to the fusion. This is an electrical signature of the non-Abelian exchange of Majorana zero-modes.
ISSN:2542-4653
2542-4653
DOI:10.21468/SciPostPhys.8.1.013