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Fractional statistics in anyon collisions

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arxiv 2006.13157 v1 pith:FOSXRIVY submitted 2020-06-23 cond-mat.mes-hall cond-mat.str-el

H. Bartolomei , M. Kumar , R. Bisognin , A. Marguerite , J.-M. Berroir , E. Bocquillon , B. Plaçais , A. Cavanna
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Q. Dong U. Gennser Y. Jin G. Fève
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classification cond-mat.mes-hallcond-mat.str-el
keywords fractionalstatisticsabeliananyonanyonscurrentfactorfilling
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abstract

Two-dimensional systems can host exotic particles called anyons whose quantum statistics are neither bosonic nor fermionic. For example, the elementary excitations of the fractional quantum Hall effect at filling factor $\nu=1/m$ (where m is an odd integer) have been predicted to obey abelian fractional statistics, with a phase $\varphi$ associated with the exchange of two particles equal to $\pi/m$. However, despite numerous experimental attempts, clear signatures of fractional statistics remain elusive. Here we experimentally demonstrate abelian fractional statistics at filling factor $\nu=1/3$ by measuring the current correlations resulting from the collision between anyons at a beam-splitter. By analyzing their dependence on the anyon current impinging on the splitter and comparing with recent theoretical models, we extract $\varphi=\pi/3$, in agreement with predictions.

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Cited by 3 Pith papers

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  1. Testing edge chirality with a three-path fractional quantum Hall interferometer

    cond-mat.mes-hall 2026-07 accept novelty 7.0 of 10

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    Color Heisenberg-Lie (super)algebras graded by Z3×Z3 provide a unified framework for mixed-bracket parabosons and parafermions, reproducing s=3,6 braided Majorana qubit truncations and a new two-particle density signature.

  3. 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.

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