# Time-resolved electrical detection of chiral edge vortex braiding

### Submission summary

 As Contributors: Inanc Adagideli · Carlo Beenakker · Aurélien Grabsch · Michał Pacholski Preprint link: scipost_201912_00022v1 Date accepted: 2020-01-08 Date submitted: 2019-12-09 01:00 Submitted by: Adagideli, Inanc Submitted to: SciPost Physics Academic field: Physics Specialties: Condensed Matter Physics - Theory Quantum Physics Approach: Theoretical

### Abstract

A $\boldsymbol{2\pi}$ 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 $\boldsymbol{\pm e/2}$ 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.

### Ontology / Topics

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Published as SciPost Phys. 8, 013 (2020)