Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer

TL;DR

This paper proposes using an electronic Mach-Zehnder interferometer to detect non-Abelian statistics of quasiparticles in the quantum Hall state at filling factor 5/2, through flux-dependent tunneling measurements.

Contribution

It introduces a method to experimentally probe non-Abelian anyons via transport measurements in a Mach-Zehnder interferometer.

Findings

Tunneling current shows flux-dependent oscillations.

Current exhibits non-analytic dependence on tunneling amplitudes.

Method provides a way to identify non-Abelian statistics experimentally.

Abstract

Fractionally charged quasiparticles in the quantum Hall state with filling factor $\nu=5/2$ are expected to obey non-Abelian statistics. We demonstrate that their statistics can be probed by transport measurements in an electronic Mach-Zehnder interferometer. The tunneling current through the interferometer exhibits a characteristic dependence on the magnetic flux and a non-analytic dependence on the tunneling amplitudes which can be controlled by gate voltages.