Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas

Abstract

Anyonic Fabry-Pérot and Mach-Zehnder interferometers have been proposed theoretically and implemented experimentally as tools to probe electric charges and statistics of anyons. The experimentally observed visibility of Aharonov-Bohm oscillations is maximal at a high transmission through an interferometer but simple theoretical expressions for the electric currents and noises are only available at low visibility. We consider an alternative version of a Mach-Zehnder interferometer, in which anyons tunnel between co-propagating chiral channels on the edges of quantum Hall liquids at the filling factors $n/(2n+1)$. We find simple exact solutions for any transmission. The solutions allow a straight-forward interpretation in terms of fractional charges and statistics.

6 pages, 2 figures

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Cited by in corpus (6)

• Dissipation and dephasing in quantum Hall interferometers
• Landscapes of an out-of-equilibrium anyonic sea
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Probing anyonic statistics via Mach-Zehnder interferometry in quantum computers
• Anyonic analogue of optical Mach-Zehnder interferometer
• Quantum statistics and self-interference in extended colliders