Anyon Braiding on the Single Edge of a Fractional Quantum Hall State
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 Ω-shaped junction 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 Ω junction, providing a direct method to detect anyon braiding statistics.
Authors
- Takeo Kato (ORCID: https://orcid.org/0000-0001-7984-9354)
- Thibaut Jonckheere (ORCID: https://orcid.org/0000-0003-3693-0720)
- Masayuki Hashisaka (ORCID: https://orcid.org/0000-0003-1301-6119)
- Laurent Raymond (ORCID: https://orcid.org/0000-0002-5014-1333)
- Noé Demazure
- Flavio Ronetti (ORCID: https://orcid.org/0009-0005-2218-5522)
- Benoît Grémaud (ORCID: https://orcid.org/0000-0001-6404-3817)
- Jérôme Rech (ORCID: https://orcid.org/0000-0003-3314-0678)
- Thierry Martin (ORCID: https://orcid.org/0000-0003-4675-8194)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université de Toulon (FR)
- Aix-Marseille Université (FR)
- The University of Tokyo (JP)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-09-30
- DOI
- https://doi.org/10.1103/yq1x-kxgm
- Citations
- 2
- Primary Topic
- Quantum and electron transport phenomena
- Type
- article
- Field-Weighted Citation Impact
- 2.49
Funders
- Aix-Marseille Université
- Agence Nationale de la Recherche
- Centre National de la Recherche Scientifique