English

Statistics of Quasiparticles in Fractional Quantum Hall States

Mesoscale and Nanoscale Physics 2007-05-23 v1

Abstract

We have considered here the statistics parameter for quasiparticles in FQH states from an analysis of these states in the framework of chiral anomaly and Berry phase. It is shown that we have a generalized relation such that the statistical phase of a quasiparticle for FQH states at ν=p/q\nu=p/q with p(q)p(q) even or odd, is given by eiπθe^{i\pi \theta} with θ=p/q\theta=p/q and the charge is epq-e \frac{p}{q}. The statistics parameter for a quasihole is identical with that of a quasiparticle and the charge is of opposite sign.

Keywords

Cite

@article{arxiv.cond-mat/0402407,
  title  = {Statistics of Quasiparticles in Fractional Quantum Hall States},
  author = {B. Basu and P. Bandyopadhay},
  journal= {arXiv preprint arXiv:cond-mat/0402407},
  year   = {2007}
}

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6 pages