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*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

19 Citations (Scopus)

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 n = 1/m (where m is an odd integer) have been predicted to obey Abelian fractional statistics, with a phase f associated with the exchange of two particles equal to p/m. However, despite numerous experimental attempts, clear signatures of fractional statistics have remained elusive. We experimentally demonstrate Abelian fractional statistics at filling factor n = 1/3 by measuring the current correlations resulting from the collision between anyons at a beamsplitter. By analyzing their dependence on the anyon current impinging on the splitter and comparing with recent theoretical models, we extract f = p/3, in agreement with predictions.

Original languageEnglish
Pages (from-to)173-177
Number of pages5
JournalScience
Volume368
Issue number6487
DOIs
Publication statusPublished - 10 Apr 2020
MoE publication typeA1 Journal article-refereed

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