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Time-resolved electrical detection of chiral edge vortex braiding

ORAL

Abstract

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

Presenters

  • Inanc Adagideli

    Faculty of Engineering and Natural Sciences, Sabanci University, Sabanci University

Authors

  • Inanc Adagideli

    Faculty of Engineering and Natural Sciences, Sabanci University, Sabanci University

  • Fabian Hassler

    JARA-Institute for Quantum Information, RWTH Aachen University

  • Aurelien Grabsch

    Physics, Leiden University

  • Michal Pacholski

    Leiden University, Physics, Leiden University

  • Carlo W J Beenakker

    Leiden University, Physics, Leiden University