Correlators and fractional statistics in the quantum Hall bulk

Abstract

We derive single-particle and two-particle correlators of anyons in the presence of a magnetic field in the lowest Landau level. We show that the two-particle correlator exhibits signatures of fractional statistics which can distinguish anyons from their fermionic and bosonic counterparts. These signatures include the zeroes of the two-particle correlator and its exclusion behavior. We find that the single-particle correlator in finite geometries carries valuable information relevant to experiments in which quasiparticles on the edge of a quantum Hall system tunnel through its bulk.

4 pages, 3 figures, RevTeX

References in corpus (3)

• Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
• Primary-Filling e/3 Quasiparticle Interferometer
• Signatures of fractional statistics in noise experiments in quantum Hall fluids

Cited by in corpus (7)

• Statistics of fractionalized excitations through threshold spectroscopy
• Nonperturbative Thermodynamic Geometry of Anyon Gas
• Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level
• Quasi-particle propagation in quantum Hall systems
• Natural orbitals and their occupation numbers for free anyons in the magnetic gauge
• Nonperturbative thermodynamic extrinsic curvature of the anyon gas
• Dynamics of "Classical" Bosons, Fermions, and beyond