Time-resolved electrical detection of chiral edge vortex braiding

Abstract

A $2\pi$ 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 $\pm e/2$ 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.

arXiv comment21 pages, 8 figures; V2: expanded section 8 to include the braiding of counter-propagating edge vortices

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Cited by in corpus (11)

• Search for non-Abelian Majorana braiding statistics in superconductors
• Current-induced breakdown of the quantum anomalous Hall effect
• Induced superconducting correlations in the quantum anomalous Hall insulator
• Fusion rules in a Majorana single-charge transistor
• Half-integer charge injection by a Josephson junction without excess noise
• Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor
• Holonomic implementation of CNOT gate on topological Majorana qubits
• Microwave response of a chiral Majorana interferometer
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Dynamical simulation of the injection of vortices into a Majorana edge mode
• Coulomb blockade of chiral Majorana and complex fermions far from equilibrium