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  • Featured in Physics
  • Open Access

Slow Quasiparticle Dynamics and Anyonic Statistics in a Fractional Quantum Hall Fabry-Pérot Interferometer

Noah L. Samuelson1,*, Liam A. Cohen1,*, Will Wang1, Simon Blanch1, Takashi Taniguchi2, Kenji Watanabe3, Michael P. Zaletel4,5, and Andrea F. Young1,†

  • *These authors contributed equally to this work.
  • †Contact author: andrea@physics.ucsb.edu

Phys. Rev. X 16, 011062 – Published 23 March, 2026

DOI: https://doi.org/10.1103/fwjg-mx9h

Abstract

Anyons are two-dimensional particles with fractional exchange statistics that emerge as elementary excitations of fractional quantum Hall phases. Experimentally, their exchange statistics can be measured in the edge-state Fabry-Pérot interferometer, wherein the presence of Nqp localized anyons contributes a phase Nqpθa to the interference pattern where θa is twice the exchange phase. Here we report the observation of large, hysteretic phase jumps in a monolayer graphene Fabry-Pérot interferometer at ν=1/3. When the filling factor is increased from ν<1/3 toward the center of the plateau, we observe phase slips with magnitude Δθ≈2π/3, consistent with the addition of individual quasiparticles to the interferometer bulk. These phase slips occur as instantaneous jumps in the interference signal, with intervals between the jumps indicating quasiparticle equilibration times exceeding 20 min. We use this long timescale to investigate the effect of changes in interferometer area AI and Nqp independently at fixed magnetic field, revealing a striking memory effect in the phase slip magnitude. In particular, as the ν=1/3 plateau is approached from higher filling, we observed phase slips with Δθ significantly larger than 2π/3 over the same range of gate voltage where quantized jumps are seen for increasing ν. We discuss this asymmetry in terms of bulk-edge coupling of quasiparticles localized near the edge or in the bulk, and argue that this effect can be qualitatively reconciled with theoretical expectations for strongly interacting quasiparticles in the presence of weak disorder and strongly nonequilibrium charge dynamics. Besides providing a replication of interferometric measurements sensitive to θa, our results highlight the key role played by charge dynamics on signatures of the anyon phase, and demonstrate that fractional quasiparticles can be indefinitely localized in nonequilibrium configurations.

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Corralling Interfering Anyons

Published 23 March, 2026

A delicate interference experiment elucidates the collective behavior of quasiparticles that are neither bosons nor fermions, but something in between.

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References (62)

  1. J. M. Leinaas and J. Myrheim, On the theory of identical particles, Il Nuovo Cimento B 37, 1 (1977).
  2. G. A. Goldin, R. Menikoff, and D. H. Sharp, Particle statistics from induced representations of a local current group, J. Math. Phys. (N.Y.) 21, 650 (1980).
  3. F. Wilczek, Quantum mechanics of fractional-spin particles, Phys. Rev. Lett. 49, 957 (1982).
  4. D. Arovas, J. R. Schrieffer, and F. Wilczek, Fractional statistics and the quantum Hall effect, Phys. Rev. Lett. 53, 722 (1984).
  5. B. I. Halperin, Statistics of quasiparticles and the hierarchy of fractional quantized Hall states, Phys. Rev. Lett. 52, 1583 (1984).
  6. N. Read and S. Das Sarma, Clarification of braiding statistics in Fabry–Perot interferometry, Nat. Phys. 20, 381 (2023).
  7. S. Kivelson, Semiclassical theory of localized many-anyon states, Phys. Rev. Lett. 65, 3369 (1990).
  8. C. de C. Chamon, D. E. Freed, S. A. Kivelson, S. L. Sondhi, and X. G. Wen, Two point-contact interferometer for quantum Hall systems, Phys. Rev. B 55, 2331 (1997).
  9. E.-A. Kim, Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer, Phys. Rev. Lett. 97, 216404 (2006).
  10. B. I. Halperin, A. Stern, I. Neder, and B. Rosenow, Theory of the Fabry-Perot quantum Hall interferometer, Phys. Rev. B 83, 155440 (2011).
  11. F. E. Camino, W. Zhou, and V. J. Goldman, Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics, Phys. Rev. B 72, 075342 (2005).
  12. F. E. Camino, W. Zhou, and V. J. Goldman, e/3 Laughlin quasiparticle primary-filling ν=1/3 interferometer, Phys. Rev. Lett. 98, 076805 (2007).
  13. Y. Zhang, D. T. McClure, E. M. Levenson-Falk, C. M. Marcus, L. N. Pfeiffer, and K. W. West, Distinct signatures for Coulomb blockade and Aharonov-Bohm interference in electronic Fabry-Perot interferometers, Phys. Rev. B 79, 241304(R) (2009).
  14. D. T. McClure, Y. Zhang, B. Rosenow, E. M. Levenson-Falk, C. M. Marcus, L. N. Pfeiffer, and K. W. West, Edge-state velocity and coherence in a quantum Hall Fabry-Pérot interferometer, Phys. Rev. Lett. 103, 206806 (2009).
  15. N. Ofek, A. Bid, M. Heiblum, A. Stern, V. Umansky, and D. Mahalu, Role of interactions in an electronic Fabry–Perot interferometer operating in the quantum Hall effect regime, Proc. Natl. Acad. Sci. U.S.A. 107, 5276 (2010).
  16. H. K. Choi, I. Sivan, A. Rosenblatt, M. Heiblum, V. Umansky, and D. Mahalu, Robust electron pairing in the integer quantum Hall effect regime, Nat. Commun. 6, 7435 (2015).
  17. I. Sivan, H. K. Choi, J. Park, A. Rosenblatt, Y. Gefen, D. Mahalu, and V. Umansky, Observation of interaction-induced modulations of a quantum Hall liquid’s area, Nat. Commun. 7, 12184 (2016).
  18. J. Nakamura, S. Fallahi, H. Sahasrabudhe, R. Rahman, S. Liang, G. C. Gardner, and M. J. Manfra, Aharonov–Bohm interference of fractional quantum Hall edge modes, Nat. Phys. 15, 563 (2019).
  19. J. Nakamura, S. Liang, G. C. Gardner, and M. J. Manfra, Direct observation of anyonic braiding statistics, Nat. Phys. 16, 931 (2020).
  20. J. Nakamura, S. Liang, G. C. Gardner, and M. J. Manfra, Fabry-Pérot interferometry at the ν=2/5 fractional quantum Hall state, Phys. Rev. X 13, 041012 (2023).
  21. R. L. Willett, K. Shtengel, C. Nayak, L. N. Pfeiffer, Y. J. Chung, M. L. Peabody, K. W. Baldwin, and K. W. West, Interference measurements of non-Abelian e/4 & Abelian e/2 quasiparticle braiding, Phys. Rev. X 13, 011028 (2023).
  22. J. Nakamura, S. Liang, G. C. Gardner, and M. J. Manfra, Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers, Nat. Commun. 13, 344 (2022).
  23. C. R. Dean, A. F. Young, P. Cadden-Zimansky, L. Wang, H. Ren, K. Watanabe, T. Taniguchi, P. Kim, J. Hone, and K. L. Shepard, Multicomponent fractional quantum Hall effect in graphene, Nat. Phys. 7, 693 (2011).
  24. H. Polshyn, H. Zhou, E. M. Spanton, T. Taniguchi, K. Watanabe, and A. F. Young, Quantitative transport measurements of fractional quantum Hall energy gaps in edgeless graphene devices, Phys. Rev. Lett. 121, 226801 (2018).
  25. Y. Zeng, J. I. A. Li, S. A. Dietrich, O. M. Ghosh, K. Watanabe, T. Taniguchi, J. Hone, and C. R. Dean, High-quality magnetotransport in graphene using the edge-free Corbino geometry, Phys. Rev. Lett. 122, 137701 (2019).
  26. C. Dean, P. Kim, J. I. A. Li, and A. Young, Fractional quantum Hall effects in graphene, in Fractional Quantum Hall Effects: New Developments (World Scientific, Singapore, 2020), pp. 317–375.
  27. A. A. Zibrov, C. Kometter, H. Zhou, E. M. Spanton, T. Taniguchi, K. Watanabe, M. P. Zaletel, and A. F. Young, Tunable interacting composite fermion phases in a half-filled bilayer-graphene Landau level, Nature (London) 549, 360 (2017).
  28. J. I. A. Li, C. Tan, S. Chen, Y. Zeng, T. Taniguchi, K. Watanabe, J. Hone, and C. R. Dean, Even denominator fractional quantum Hall states in bilayer graphene, Science 358, eaao2521 (2017).
  29. A. A. Zibrov, E. M. Spanton, H. Zhou, C. Kometter, T. Taniguchi, K. Watanabe, and A. F. Young, Even-denominator fractional quantum Hall states at an isospin transition in monolayer graphene, Nat. Phys. 14, 930 (2018).
  30. Y. Hu, Y.-C. Tsui, M. He, U. Kamber, T. Wang, A. S. Mohammadi, K. Watanabe, T. Taniguchi, Z. Papić, M. P. Zaletel, and A. Yazdani, High-resolution tunnelling spectroscopy of fractional quantum Hall states, Nat. Phys. 21, 716 (2025).
  31. A. Assouline, T. Wang, H. Zhou, L. A. Cohen, F. Yang, R. Zhang, T. Taniguchi, K. Watanabe, Roger S. Mong, M. P. Zaletel, and A. F. Young, Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene, Phys. Rev. Lett. 132, 046603 (2024).
  32. C. Déprez, L. Veyrat, H. Vignaud, G. Nayak, K. Watanabe, T. Taniguchi, F. Gay, H. Sellier, and B. Sacépé, A tunable Fabry-Pérot quantum Hall interferometer in graphene, Nat. Nanotechnol. 16, 555 (2021).
  33. Y. Ronen, T. Werkmeister, D. Haie Najafabadi, A. T. Pierce, L. E. Anderson, Y. J. Shin, S. Y. Lee, Y. H. Lee, B. Johnson, K. Watanabe, T. Taniguchi, A. Yacoby, and P. Kim, Aharonov-Bohm effect in graphene-based Fabry-Pérot quantum Hall interferometers, Nat. Nanotechnol. 16, 563 (2021).
  34. L. Zhao, E. G. Arnault, T. F. Q. Larson, Z. Iftikhar, A. Seredinski, T. Fleming, K. Watanabe, T. Taniguchi, F. Amet, and G. Finkelstein, Graphene-based quantum Hall interferometer with self-aligned side gates, Nano Lett. 22, 9645 (2022).
  35. H. Fu, K. Huang, K. Watanabe, T. Taniguchi, M. Kayyalha, and J. Zhu, Aharonov–Bohm oscillations in bilayer graphene quantum Hall edge state Fabry–Pérot interferometers, Nano Lett. 23, 718 (2023).
  36. J. Kim, H. Dev, R. Kumar, A. Ilin, A. Haug, V. Bhardwaj, C. Hong, K. Watanabe, T. Taniguchi, A. Stern, and Y. Ronen, Aharonov–Bohm interference and statistical phase-jump evolution in fractional quantum Hall states in bilayer graphene, Nat. Nanotechnol. 19, 1619 (2024).
  37. T. Werkmeister, J. R. Ehrets, M. E. Wesson, D. H. Najafabadi, K. Watanabe, T. Taniguchi, B. I. Halperin, A. Yacoby, and P. Kim, Anyon braiding and telegraph noise in a graphene interferometer, Science 388, 730 (2025).
  38. L. A. Cohen, N. L. Samuelson, T. Wang, K. Klocke, C. C. Reeves, T. Taniguchi, K. Watanabe, S. Vijay, M. P. Zaletel, and A. F. Young, Nanoscale electrostatic control in ultraclean van der Waals heterostructures by local anodic oxidation of graphite gates, Nat. Phys. 19, 1502 (2023).
  39. X.-G. Wen, Edge transport properties of the fractional quantum Hall states and weak-impurity scattering of a one-dimensional charge-density wave, Phys. Rev. B 44, 5708 (1991).
  40. C. L. Kane and M. P. A. Fisher, Transport in a one-channel Luttinger liquid, Phys. Rev. Lett. 68, 1220 (1992).
  41. P. Fendley, H. Saleur, and N. P. Warner, Exact solution of a massless scalar field with a relevant boundary interaction, Nucl. Phys. B430, 577 (1994).
  42. C. L. Kane and Matthew P. A. Fisher, Impurity scattering and transport of fractional quantum Hall edge states, Phys. Rev. B 51, 13449 (1995).
  43. P. Fendley, A. W. W. Ludwig, and H. Saleur, Exact conductance through point contacts in the ν= 1/3 fractional quantum Hall effect, Phys. Rev. Lett. 74, 3005 (1995).
  44. F. P. Milliken, C. P. Umbach, and R. A. Webb, Indications of a Luttinger liquid in the fractional quantum Hall regime, Solid State Commun. 97, 309 (1996).
  45. I. P. Radu, J. B. Miller, C. M. Marcus, M. A. Kastner, L. N. Pfeiffer, and K. W. West, Quasi-particle properties from tunneling in the ν=5/2 fractional quantum Hall state, Science 320, 899 (2008).
  46. L. A. Cohen, N. L. Samuelson, T. Wang, T. Taniguchi, K. Watanabe, M. P. Zaletel, and A. F. Young, Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact, Science 382, 542 (2023).
  47. See Supplemental Material at http://link.aps.org/supplemental/10.1103/fwjg-mx9h for device fabrication details, QPC characterizations, measurements of the dc bias dependence of the interference, a model and quantitative estimation of the bulk-edge coupling, temperature dependence of the interference, an analysis of the uncertainty in the phase slip magnitudes, and additional data on the stability of the interference phase.
  48. T. Werkmeister, J. R. Ehrets, Y. Ronen, M. E. Wesson, D. Najafabadi, Z. Wei, K. Watanabe, T. Taniguchi, D. E. Feldman, B. I. Halperin, A. Yacoby, and P. Kim, Strongly coupled edge states in a graphene quantum Hall interferometer, Nat. Commun. 15, 6533 (2024).
  49. N. L. Samuelson, L. A. Cohen, W. Wang, S. Blanch, T. Taniguchi, K. Watanabe, M. P. Zaletel, and A. F. Young, Hard and soft phase slips in a Fabry-Pérot quantum Hall interferometer, Phys. Rev. Lett. 134, 256301 (2025).
  50. R. K. Goodall, R. J. Higgins, and J. P. Harrang, Capacitance measurements of a quantized two-dimensional electron gas in the regime of the quantum Hall effect, Phys. Rev. B 31, 6597 (1985).
  51. J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Negative compressibility of interacting two-dimensional electron and quasiparticle gases, Phys. Rev. Lett. 68, 674 (1992).
  52. F. Yang, A. A. Zibrov, R. Bai, T. Taniguchi, K. Watanabe, M. P. Zaletel, and A. F. Young, Experimental determination of the energy per particle in partially filled Landau levels, Phys. Rev. Lett. 126, 156802 (2021).
  53. D. E. Feldman and B. I. Halperin, Robustness of quantum Hall interferometry, Phys. Rev. B 105, 165310 (2022).
  54. E. Comforti, Y. C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Bunching of fractionally charged quasiparticles tunnelling through high-potential barriers, Nature (London) 416, 515 (2002).
  55. A. Bid, N. Ofek, M. Heiblum, V. Umansky, and D. Mahalu, Shot noise and charge at the 2/3 composite fractional quantum Hall state, Phys. Rev. Lett. 103, 236802 (2009).
  56. B. Ghosh, M. Labendik, V. Umansky, M. Heiblum, and D. F. Mross, Coherent bunching of anyons and dissociation in an interference experiment, Nature (London) 642, 922 (2025).
  57. A. Demir, N. Staley, S. Aronson, S. Tomarken, K. West, K. Baldwin, L. Pfeiffer, and R. Ashoori, Correlated double-electron additions at the edge of a two-dimensional electronic system, Phys. Rev. Lett. 126, 256802 (2021).
  58. M. Gattu and J. K. Jain, Molecular anyons in the fractional quantum Hall effect, Phys. Rev. Lett. 135, 236601 (2025).
  59. Q. Xu, G. Ji, Y. Wang, H. Q. Trung, and B. Yang, Dynamics of anyon clusters in fractional quantum Hall fluids, Phys. Rev. B 112, 235112 (2025).
  60. H. Li, S. Li, E. C. Regan, D. Wang, W. Zhao, S. Kahn, K. Yumigeta, M. Blei, T. Taniguchi, K. Watanabe, S. Tongay, A. Zettl, M. F. Crommie, and F. Wang, Imaging two-dimensional generalized Wigner crystals, Nature (London) 597, 650 (2021).
  61. D.-K. Ki, V. I. Fal’ko, D. A. Abanin, and A. F. Morpurgo, Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene, Nano Lett. 14, 2135 (2014).
  62. N. Samuelson, L. Cohen, W. Wang, S. Blanch, T. Taniguchi, K. Watanabe, M. Zaletel, and A. Young, Slow quasiparticle dynamics and anyonic statistics in a fractional quantum hall Fabry-Perot interferometer, Zenodo (2026), https://zenodo.org/records/18371748.

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