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Exclusion statistics for non-abelian quantum Hall states

K. Schoutens
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Abstract

We determine the exclusion statistics properties of the fundamental edge quasi-particles over a specific $ν=\half$ 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 $+{e \over 4}$. 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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K. Schoutens. 1998-06-30. Exclusion statistics for non-abelian quantum Hall states. https://doi.org/10.1103/physrevlett.81.1929

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