English

Exclusion Statistics of Composite Fermions

Mesoscale and Nanoscale Physics 2009-11-07 v1

Abstract

The exclusion statistics parameter of composite fermions is determined as an odd number (α=3\alpha=3, 5, ...). The statistics of composite fermion excitations at ν=n2pn+1\nu= \frac{n}{2pn+1} is rederived as αqeCF=1+2p2pn+1\alpha_{qe}^{CF}=1+\frac{2p}{2pn+1}, αqhCF=12p2pn+1\alpha_{qh}^{CF}=1-\frac{2p}{2pn+1}. The duality 1αqe(n,2p)=αqh(n+1,2p)\frac{1}{\alpha_{qe}(n,2p)}=\alpha_{qh}(n+1,2p) is found. The distribution function for α=3\alpha=3 is obtained.

Cite

@article{arxiv.cond-mat/0106158,
  title  = {Exclusion Statistics of Composite Fermions},
  author = {Piotr Sitko},
  journal= {arXiv preprint arXiv:cond-mat/0106158},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T10:22:43.645Z