Anyon braiding on the single edge of a fractional quantum Hall state
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917188687888384 |
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| author | Ronetti, Flavio Demazure, Noé Rech, Jérôme Jonckheere, Thibaut Grémaud, Benôit Raymond, Laurent Hashisaka, Masayuki Kato, Takeo Martin, Thierry |
| author_facet | Ronetti, Flavio Demazure, Noé Rech, Jérôme Jonckheere, Thibaut Grémaud, Benôit Raymond, Laurent Hashisaka, Masayuki Kato, Takeo Martin, Thierry |
| contents | Anyons are quasiparticles with fractional statistics, bridging between fermions and bosons. We propose an experimental setup to measure the statistical angle of topological anyons emitted from a quantum point contact (QPC) source. The setup involves an droplet along a fractional quantum Hall liquid edge, formed by defining a droplet with two negatively biased gates. In the weak tunneling regime, we calculate the charge current, showing its time evolution depends solely on the anyons' statistical properties, with temperature and scaling dimension affecting only the constant prefactor. We compute the cross-correlation between the anyon current transmitted from the source and the current after the junction, providing a direct method to detect anyon braiding statistics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17008 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anyon braiding on the single edge of a fractional quantum Hall state Ronetti, Flavio Demazure, Noé Rech, Jérôme Jonckheere, Thibaut Grémaud, Benôit Raymond, Laurent Hashisaka, Masayuki Kato, Takeo Martin, Thierry Mesoscale and Nanoscale Physics Anyons are quasiparticles with fractional statistics, bridging between fermions and bosons. We propose an experimental setup to measure the statistical angle of topological anyons emitted from a quantum point contact (QPC) source. The setup involves an droplet along a fractional quantum Hall liquid edge, formed by defining a droplet with two negatively biased gates. In the weak tunneling regime, we calculate the charge current, showing its time evolution depends solely on the anyons' statistical properties, with temperature and scaling dimension affecting only the constant prefactor. We compute the cross-correlation between the anyon current transmitted from the source and the current after the junction, providing a direct method to detect anyon braiding statistics. |
| title | Anyon braiding on the single edge of a fractional quantum Hall state |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2503.17008 |