Time-resolved electrical detection of chiral edge vortex braiding

Inanc Adagideli; Fabian Hassler; Aurelien Grabsch; Michal Pacholski; Carlo W. J. Beenakker

doi:10.21468/SCIPOSTPHYS.8.1.013

Time-resolved electrical detection of chiral edge vortex braiding

Inanc Adagideli, Fabian Hassler, Aurelien Grabsch, Michal Pacholski, Carlo W. J. Beenakker

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

A 2π2π 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 ±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.

Original language	English
Journal	SciPost Physics
Volume	8
Issue number	013
DOIs	https://doi.org/10.21468/SCIPOSTPHYS.8.1.013
Publication status	Published - 29 Jan 2020
Externally published	Yes

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SciPostPhys_8_1_013Final published version, 614 KBLicence: CC BY

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abstract = "A 2π2π 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 ±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.",

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AU - Adagideli, Inanc

AU - Hassler, Fabian

AU - Grabsch, Aurelien

AU - Pacholski, Michal

AU - Beenakker, Carlo W. J.

PY - 2020/1/29

Y1 - 2020/1/29

N2 - A 2π2π 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 ±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.

AB - A 2π2π 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 ±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.

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U2 - 10.21468/SCIPOSTPHYS.8.1.013

DO - 10.21468/SCIPOSTPHYS.8.1.013

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JO - SciPost Physics

JF - SciPost Physics

IS - 013

ER -

Time-resolved electrical detection of chiral edge vortex braiding

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