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Signature of anyonic statistics in the integer quantum Hall regime

Author

Listed:
  • P. Glidic

    (Centre de Nanosciences et de Nanotechnologies)

  • I. Petkovic

    (Centre de Nanosciences et de Nanotechnologies)

  • C. Piquard

    (Centre de Nanosciences et de Nanotechnologies)

  • A. Aassime

    (Centre de Nanosciences et de Nanotechnologies)

  • A. Cavanna

    (Centre de Nanosciences et de Nanotechnologies)

  • Y. Jin

    (Centre de Nanosciences et de Nanotechnologies)

  • U. Gennser

    (Centre de Nanosciences et de Nanotechnologies)

  • C. Mora

    (Laboratoire Matériaux et Phénomènes Quantiques)

  • D. Kovrizhin

    (Laboratoire de Physique Théorique et Modélisation)

  • A. Anthore

    (Centre de Nanosciences et de Nanotechnologies
    Centre de Nanosciences et de Nanotechnologies)

  • F. Pierre

    (Centre de Nanosciences et de Nanotechnologies)

Abstract

Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extend the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with the first convincing anyon signatures recently observed through interferometry and cross-correlations of colliding beams. However, the fractional regime is rife with experimental complications, such as an anomalous tunneling density of states, which impede the manipulation of anyons. Here we show experimentally that the canonical integer quantum Hall regime can provide a robust anyon platform. Exploiting the Coulomb interaction between two copropagating quantum Hall channels, an electron injected into one channel splits into two fractional charges behaving as abelian anyons. Their unconventional statistics is revealed by negative cross-correlations between dilute quasiparticle beams. Similarly to fractional quantum Hall observations, we show that the negative signal stems from a time-domain braiding process, here involving the incident fractional quasiparticles and spontaneously generated electron-hole pairs. Beyond the dilute limit, a theoretical understanding is achieved via the edge magnetoplasmon description of interacting integer quantum Hall channels. Our findings establish that, counter-intuitively, the integer quantum Hall regime provides a platform of choice for exploring and manipulating quasiparticles with fractional quantum statistics.

Suggested Citation

  • P. Glidic & I. Petkovic & C. Piquard & A. Aassime & A. Cavanna & Y. Jin & U. Gennser & C. Mora & D. Kovrizhin & A. Anthore & F. Pierre, 2024. "Signature of anyonic statistics in the integer quantum Hall regime," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-50820-0
    DOI: 10.1038/s41467-024-50820-0
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    References listed on IDEAS

    as
    1. R. Bisognin & H. Bartolomei & M. Kumar & I. Safi & J.-M. Berroir & E. Bocquillon & B. Plaçais & A. Cavanna & U. Gennser & Y. Jin & G. Fève, 2019. "Publisher Correction: Microwave photons emitted by fractionally charged quasiparticles," Nature Communications, Nature, vol. 10(1), pages 1-1, December.
    2. June-Young M. Lee & H.-S. Sim, 2022. "Non-Abelian anyon collider," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    3. R. Bisognin & H. Bartolomei & M. Kumar & I. Safi & J.-M. Berroir & E. Bocquillon & B. Plaçais & A. Cavanna & U. Gennser & Y. Jin & G. Fève, 2019. "Microwave photons emitted by fractionally charged quasiparticles," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
    4. E. Bocquillon & V. Freulon & J-.M Berroir & P. Degiovanni & B. Plaçais & A. Cavanna & Y. Jin & G. Fève, 2013. "Separation of neutral and charge modes in one-dimensional chiral edge channels," Nature Communications, Nature, vol. 4(1), pages 1-7, June.
    5. June-Young M. Lee & Changki Hong & Tomer Alkalay & Noam Schiller & Vladimir Umansky & Moty Heiblum & Yuval Oreg & H.-S. Sim, 2023. "Partitioning of diluted anyons reveals their braiding statistics," Nature, Nature, vol. 617(7960), pages 277-281, May.
    6. Cheolhee Han & Jinhong Park & Yuval Gefen & H.-S. Sim, 2016. "Topological vacuum bubbles by anyon braiding," Nature Communications, Nature, vol. 7(1), pages 1-6, September.
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