SciPost Physics

SciPost Phys. 8, 013 (2020) · published 29 January 2020

• doi: 10.21468/SciPostPhys.8.1.013
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

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.

• Calzona et al., Holonomic implementation of CNOT gate on topological Majorana qubits
  SciPost Phys. Core 3, 014 (2020) [Crossref]
• Flór et al., Dynamical simulation of the injection of vortices into a Majorana edge mode
  Phys. Rev. B 108, 235309 (2023) [Crossref]
• Shapiro et al., Coulomb blockade of chiral Majorana and complex fermions far from equilibrium
  Phys. Rev. B 107, 125404 (2023) [Crossref]
• Zimmermann et al., Fourier transformation based analysis routine for intermixed longitudinal and transversal hysteretic data for the example of a magnetic topological insulator
  J. Phys. Mater. 7, 015015 (2024) [Crossref]
• Beenakker et al., Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor
  SciPost Phys. 9, 080 (2020) [Crossref]
• Zimmermann et al., Current-induced magnetization switching in a magnetic topological insulator heterostructure
  Phys. Rev. Materials 8, 026201 (2024) [Crossref]
• Shapiro et al., Microwave response of a chiral Majorana interferometer
  Phys. Rev. B 104, 035434 (2021) [Crossref]
• Lippertz et al., Current-induced breakdown of the quantum anomalous Hall effect
  Phys. Rev. B 106, 045419 (2022) [Crossref]
• Seoane Souto et al., Fusion rules in a Majorana single-charge transistor
  SciPost Phys. 12, 161 (2022) [Crossref]
• Hassler et al., Half-integer charge injection by a Josephson junction without excess noise
  Phys. Rev. B 102, 045431 (2020) [Crossref]
• Beenakker, Search for non-Abelian Majorana braiding statistics in superconductors
  SciPost Phys. Lect. Notes, 15 (2020) [Crossref]