We determine the exclusion statistics properties of the fundamental edge quasiparticles over a specific $\nu =\frac{1}{2}$ non-Abelian quantum Hall state known as the $q=2\mathrm{}$ Pfaffian state. The fundamental excitations are the edge electrons of charge $-e$ and the edge quasiholes of charge $+e/4\mathrm{}$. We explicitly determine thermodynamic distribution functions and establish a duality which generalizes the duality for fractional exclusion statistics as described by F. D. M. Haldane.

• Received 13 March 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.1929