Fractional statistics in anyon collisions

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 $\phi$ 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 $\phi =\pi /3$, in agreement with predictions.

5 pages, supplementary material can be downloaded at https://science.sciencemag.org/content/368/6487/173/suppl/DC1

References in corpus (6)

• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Shot noise of a mesoscopic two-particle collider
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Primary-Filling e/3 Quasiparticle Interferometer
• Negative Excess Shot Noise by Anyon Braiding
• Why a noninteracting model works for shot noise in fractional charge experiments

Cited by in corpus (3)

• From anyons to Majoranas
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Cryogenic GaAs high-electron-mobility-transistor amplifier for current noise measurements