Fractional statistics in anyon collisions
arXiv:2006.13157 · doi:10.1126/science.aaz5601
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 (where m is an odd integer) have been predicted to obey abelian fractional statistics, with a phase associated with the exchange of two particles equal to . However, despite numerous experimental attempts, clear signatures of fractional statistics remain elusive. Here we experimentally demonstrate abelian fractional statistics at filling factor 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 , in agreement with predictions.
arXiv comment5 pages, supplementary material can be downloaded at https://science.sciencemag.org/content/368/6487/173/suppl/DC1
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