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Exclusion statistics for non-abelian quantum Hall states

K. Schoutens

cond-mat.mes-hallarXiv:cond-mat/9803169

Abstract

We determine the exclusion statistics properties of the fundamental edge quasi-particles over a specific ν= non-abelian quantum Hall state known as the pfaffian. The fundamental excitations are the edge electrons of charge -e and the edge quasi-holes of charge +e 4. We explicitly determine thermodynamic distribution functions and establish a duality which generalizes the duality for fractional exclusion statistics in the sense of Haldane.

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