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]

Observation in gallium arsenide ($GaAs$) semiconductor 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-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]

• M. Ruelle et al.: Comparing fractional quantum Hall Laughlin and Jain topological orders with the anyon collider, Physical Review X 13 (2023) 011031 [doi:10.1103/PhysRevX.13.011031, arXiv:2210.01066]

• Pierre Glidic et al: Cross-Correlation Investigation of Anyon Statistics in the $\nu = 1/3$ and $2/5$ Fractional Quantum Hall States, Phys. Rev. X 13 011030 (2023) [doi:10.1103/PhysRevX.13.011030, arXiv:2210.01054]

• Pierre 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]

• Hemanta Kumar Kundu et al.: Anyonic interference and braiding phase in a Mach-Zehnder interferometer, Nature Physics 19 (2023) 515–521 [doi:10.1038/s41567-022-01899-z, arXiv:2203.0420]

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]