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arXiv · 2006.13157

Fractional statistics in anyon collisions

H. Bartolomei·M. Kumar·R. Bisognin·A. Marguerite·J. -M. Berroir·E. Bocquillon·B. Plaçais·A. Cavanna·Q. Dong·U. Gennser·Y. Jin·G. Fève
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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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H. Bartolomei, M. Kumar, R. Bisognin, A. Marguerite, J. -M. Berroir, E. Bocquillon, B. Plaçais, A. Cavanna, Q. Dong, U. Gennser, Y. Jin, G. Fève. 2020-06-23. Fractional statistics in anyon collisions. https://doi.org/10.1126/science.aaz5601

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