Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas
- Resource Type
- Working Paper
- Authors
- Batra, Navketan; Wei, Zezhu; Vishveshwara, Smitha; Feldman, D. E.
- Source
- Phys. Rev. B 108, L241302 (2023)
- Subject
- Condensed Matter - Mesoscale and Nanoscale Physics
Condensed Matter - Strongly Correlated Electrons
- Language
Anyonic Fabry-P\'erot 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.
Comment: 6 pages, 2 figures