Correlators and fractional statistics in the quantum Hall bulk
Mesoscale and Nanoscale Physics
2012-01-20 v1
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.
Keywords
Cite
@article{arxiv.0705.0360,
title = {Correlators and fractional statistics in the quantum Hall bulk},
author = {Smitha Vishveshwara and Michael Stone and Diptiman Sen},
journal= {arXiv preprint arXiv:0705.0360},
year = {2012}
}