Exclusion statistics for non-abelian quantum Hall states

Details Exclusion statistics for non-abelian quantum Hall states Exclusion statistics for non-abelian quantum Hall states

1998-03-13

arxiv.org/abs/cond-mat/9803169v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX, 4 pages, no figures; results for 1/q pfaffian added

Scientific paper

10.1103/PhysRevLett.81.1929

We determine the exclusion statistics properties of the fundamental edge quasi-particles over a specific $\nu=\half$ 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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