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Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers

Author

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  • J. Nakamura

    (Purdue University
    Purdue University)

  • S. Liang

    (Purdue University
    Purdue University)

  • G. C. Gardner

    (Purdue University
    Microsoft Quantum Lab West Lafayette)

  • M. J. Manfra

    (Purdue University
    Purdue University
    Microsoft Quantum Lab West Lafayette
    Purdue University)

Abstract

Quantum Hall interferometers have been used to probe fractional charge and statistics of quasiparticles. We present measurements of a small Fabry–Perot interferometer in which the electrostatic coupling constants which affect interferometer behavior can be determined experimentally. Near the center of the ν = 1/3 state this device exhibits Aharonov–Bohm interference interrupted by a few discrete phase jumps, and Φ0 oscillations at higher and lower magnetic fields, consistent with theoretical predictions for detection of anyonic statistics. We estimate the electrostatic parameters KI and KIL by two methods: using the ratio of oscillation periods in compressible versus incompressible regions, and from finite-bias conductance measurements. We find that the extracted KI and KIL can account for the deviation of the phase jumps from the theoretical anyonic phase θa = 2π/3. At integer states, we find that KI and KIL can account for the Aharonov–Bohm and Coulomb-dominated behavior of different edge states.

Suggested Citation

  • J. Nakamura & S. Liang & G. C. Gardner & M. J. Manfra, 2022. "Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-27958-w
    DOI: 10.1038/s41467-022-27958-w
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    References listed on IDEAS

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    1. R. de-Picciotto & M. Reznikov & M. Heiblum & V. Umansky & G. Bunin & D. Mahalu, 1997. "Direct observation of a fractional charge," Nature, Nature, vol. 389(6647), pages 162-164, September.
    2. M. Dolev & M. Heiblum & V. Umansky & Ady Stern & D. Mahalu, 2008. "Observation of a quarter of an electron charge at the ν = 5/2 quantum Hall state," Nature, Nature, vol. 452(7189), pages 829-834, April.
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    Cited by:

    1. Thomas Werkmeister & James R. Ehrets & Yuval Ronen & Marie E. Wesson & Danial Najafabadi & Zezhu Wei & Kenji Watanabe & Takashi Taniguchi & D. E. Feldman & Bertrand I. Halperin & Amir Yacoby & Philip , 2024. "Strongly coupled edge states in a graphene quantum Hall interferometer," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    2. Hwanchul Jung & Dongsung T. Park & Seokyeong Lee & Uhjin Kim & Chanuk Yang & Jehyun Kim & V. Umansky & Dohun Kim & H.-S. Sim & Yunchul Chung & Hyoungsoon Choi & Hyung Kook Choi, 2023. "Observation of electronic modes in open cavity resonator," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

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