Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916080134389760 |
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| author | Batra, Navketan Wei, Zezhu Vishveshwara, Smitha Feldman, D. E. |
| author_facet | Batra, Navketan Wei, Zezhu Vishveshwara, Smitha Feldman, D. E. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_05236 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas Batra, Navketan Wei, Zezhu Vishveshwara, Smitha Feldman, D. E. Mesoscale and Nanoscale Physics Strongly Correlated Electrons 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. |
| title | Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2308.05236 |