Anyonic Mach-Zehnder interferometer on a single edge of a two-dimensional electron gas

Anyonic Fabry-Perot and Mach-Zehnder interferometers have been proposed theoretically and implemented experimentally as tools to probe the 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 copropagating chiral channels on the edges of quantum Hall liquids at the filling factors n/(2n + 1). We find simple exact solutions for any transmission at a suitably chosen ratio of the edge-channel lengths. The solutions allow a straightforward interpretation in terms of fractional charges and statistics. Our results also apply to the recently observed quantized plateaus in the fractional Chern insulator MoTe2.