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Statistics of Quasiparticles in Fractional Quantum Hall States

B. Basu·P. Bandyopadhay
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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 $ν=p/q$ with $p(q)$ even or odd, is given by $e^{iπθ}$ with $θ=p/q $ and the charge is $-e \frac{p}{q}$. The statistics parameter for a quasihole is identical with that of a quasiparticle and the charge is of opposite sign.

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B. Basu, P. Bandyopadhay. 2004-02-16. Statistics of Quasiparticles in Fractional Quantum Hall States. https://arxiv.org/abs/cond-mat/0402407

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