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Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state

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arxiv 2006.14115 v1 pith:KL73F43V submitted 2020-06-25 cond-mat.mes-hall

James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra This is my paper · ORCID
classification cond-mat.mes-hall
keywords anyonicbraidingobservationchargingconsistentdeviceenergyfabry-perot
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abstract

Utilizing an electronic Fabry-Perot interferometer in which Coulomb charging effects are suppressed, we report experimental observation of anyonic braiding statistics for the $\nu=1/3$ fractional quantum Hall state. Strong Aharonov-Bohm interference of the $\nu=1/3$ edge mode is punctuated by discrete phase slips consistent with an anyonic phase of $\theta_{anyon}=\frac{2\pi}{3}$. Our results are consistent with a recent theory of a Fabry-Perot interferometer operated in a regime in which device charging energy is small compared to the energy of formation of charged quasiparticles. Close correspondence between device operation and theoretical predictions substantiates our claim of observation of anyonic braiding.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fractional Quantum Hall Anyons via the Algebraic Topology of Exotic Flux Quanta

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

  2. Entangling gates from cabling of knots

    quant-ph 2024-12 conditional novelty 5.0 of 10

    Braiding two-strand cables of anyons gives a two-qubit controlled-phase gate with about 99 percent probability of staying in the computational space.

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