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Exclusion Statistics of Composite Fermions

Piotr Sitko
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Abstract

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

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Piotr Sitko. 2001-06-08. Exclusion Statistics of Composite Fermions. https://doi.org/10.1016/s1386-9477(01)00258-2

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