Fractional statistics in anyon collisions

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 frac...

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Published in:arXiv.org 2020-06
Main Authors: Bartolomei, H, Kumar, M, Bisognin, R, Marguerite, A, J -M Berroir, Bocquillon, E, Plaçais, B, Cavanna, A, Dong, Q, Gennser, U, Jin, Y, Fève, G
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Language:English
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Correlation analysis
Elementary excitations
Quantum Hall effect
Quantum statistics
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creator Bartolomei, H
Kumar, M
Bisognin, R
Marguerite, A
J -M Berroir
Bocquillon, E
Plaçais, B
Cavanna, A
Dong, Q
Gennser, U
Jin, Y
Fève, G
description 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.
doi_str_mv 10.48550/arxiv.2006.13157
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subjects Correlation analysis
Elementary excitations
Quantum Hall effect
Quantum statistics
title Fractional statistics in anyon collisions
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