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.

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

References in corpus (3)

• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Haldane fractional statistics in the fractional quantum Hall effect
• Exclusion statistics for fractional quantum Hall states on a sphere

Cited by in corpus (1)

• Exclusion Statistics of Quasiparticles in Condensed States of Composite Fermion Excitations