Anyonic Fabry-Pérot 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 ${\mathrm{MoTe}}_2$.

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• Fractional quantum Hall effect
• Fractionalization
• Two-dimensional electron gas
• Bosonization
• Exact solutions for many-body systems
• Interferometry
• Luttinger liquid model