nLab observation of anyons in fractional quantum Hall systems -- references

Observation of anyons in fractional quantum Hall systems

While the occurrence of anyon-excitations in the fractional quantum Hall effect is a robust theoretical prediction (see the references above), and while the fractional quantum Hall effect itself has long been established in experiment, the actual observation of anyons in these systems is subtle:

An early claim of the observation of non-abelian anyons seems to remain unconfirmed:

• Sanghun An, P. Jiang, H. Choi, W. Kang, S. H. Simon, L. N. Pfeiffer, K. W. West, K. W. Baldwin, Braiding of Abelian and Non-Abelian Anyons in the Fractional Quantum Hall Effect [arXiv:1112.3400]

The claimed observation of abelian anyons is more securely established:

In gallium arsenide ($GaAs$) heterostructures:

• H. Bartolomei, et al.: Fractional statistics in anyon collisions, Science 368 6487 (2020) 173-177 [doi:10.1126/science.aaz5601, arXiv:2006.13157]

• James Nakamura et al.: Aharonov–Bohm interference of fractional quantum Hall edge modes, Nature Physics 15 563–569 (2019) [doi:10.1038/s41567-019-0441-8, arXiv:1901.08452]

• James Nakamura et al.: Direct observation of anyonic braiding statistics, Nat. Phys. 16 (2020) 931–936 [doi:10.1038/s41567-020-1019-1, arXiv:2006.14115]

• Bob Yirka, Best evidence yet for existence of anyons, PhysOrg News (July 10, 2020) [phys.org/news/2020-07]

• James Nakamura et al.: Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers, Nature Communications 13 344 (2022) [doi:10.1038/s41467-022-27958-w, arXiv:2107.02136]

• James Nakamura et al.: Fabry-Pérot Interferometry at the Fractional Quantum Hall State, Phys. Rev. X 13 (2023) 041012 [doi:10.1103/PhysRevX.13.041012]

• James Nakamura: Fabry-Perot interferometry at the $\nu-2/5$ fractional quantum Hall state, Phys. Rev. X 13 (2023) 041012 [doi:10.1103/PhysRevX.13.041012, arXiv:2304.12415]

• P. Glidic et al.: Signature of anyonic statistics in the integer quantum Hall regime, Nature Commun. 15 6578 (2024) 1 [doi:10.1038/s41467-024-50820-0, arXiv:2401.06069]

and in graphene heterostructures:

• Noah Samuelson et al.: Anyonic statistics and slow quasiparticle dynamics in a graphene fractional quantum Hall interferometer [arXiv:2403.19628]

• Jehyun Kim et al.: Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States [arXiv:2412.19886]