Exclusion Statistics of Composite Fermions

Abstract

The exclusion statistics parameter of composite fermions is determined as an odd number ($\alpha=3$, 5, ...). The statistics of composite fermion excitations at $\nu= \frac{n}{2pn+1}$ is rederived as $\alpha_{qe}^{CF}=1+\frac{2p}{2pn+1}$, $\alpha_{qh}^{CF}=1-\frac{2p}{2pn+1}$. The duality $\frac{1}{\alpha_{qe}(n,2p)}=\alpha_{qh}(n+1,2p)$ is found. The distribution function for $\alpha=3$ is obtained.