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We clarify the relation between two kinds of statistics for particleexcitations in planar systems: the braid statistics of anyons and the Haldaneexclusion statistics(HES). It is shown non-perturbatively that the HES existsfor incompressible anyon liquid in the presence of a Hall response. We alsostudy the statistical properties of a specific quantum anomalous Hall modelwith Chern-Simons term by perturbation in both compressible and incompressibleregimes, where the crucial role of edge states to the HES is shown.

Hall effect, edge states and Haldane exclusion statistics in two-dimensional space