Correlators and Fractional Statistics in the Quantum Hall Bulk

Smitha Vishveshwara, Michael Stone, Diptiman Sen
2007 Physical Review Letters  
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
more » ... nts in which quasiparticles on the edge of a quantum Hall system tunnel through its bulk.
doi:10.1103/physrevlett.99.190401 pmid:18233048 fatcat:3cwvt6ap3jcoxjqklxga4xtjke