Exclusion Statistics of Composite Fermions

Details Exclusion Statistics of Composite Fermions Exclusion Statistics of Composite Fermions

2001-06-08

arxiv.org/abs/cond-mat/0106158v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages (in Latex), proceedings for the EP2DS14 Conference

Scientific paper

10.1016/S1386-9477(01)00258-2

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.

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