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arXiv · 0705.0360

Correlators and fractional statistics in the quantum Hall bulk

Smitha Vishveshwara·Michael Stone·Diptiman Sen
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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.

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Smitha Vishveshwara, Michael Stone, Diptiman Sen. 2007-05-02. Correlators and fractional statistics in the quantum Hall bulk. https://doi.org/10.1103/physrevlett.99.190401

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