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 (23)

• Observation of Fractionally Quantized Anomalous Hall Effect
• Nanomaterials for Quantum Information Science and Engineering
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Anyons in Quantum Hall Interferometry
• Fractional Mutual Statistics on Integer Quantum Hall Edges
• Andreev reflection of fractional quantum Hall quasiparticles
• Quantum Heat Engines with Singular Interactions
• Quantized charge fractionalization at quantum Hall Y junctions in the disorder-dominated regime
• Expanding Edges of Quantum Hall Systems in a Cosmology Language -- Hawking Radiation from de Sitter Horizon in Edge Modes
• Partition of Two Interacting Electrons by a Potential Barrier
• From anyons to Majoranas
• Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
• Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes
• Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing
• Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
• New disordered anyon phase of doped graphene zigzag nanoribbon
• Interferometric signature of different spectral symmetries of biphoton states
• Cryogenic GaAs high-electron-mobility-transistor amplifier for current noise measurements
• Spin-Selective Equilibration among Integer Quantum Hall Edge Channels
• String order parameters for symmetry fractionalization in an enriched toric code
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Hawking radiation of anyons
• Topological states in double monolayer graphene