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Haldane fractional statistics in the fractional quantum Hall effect

Abstract

We have tested Haldane's ``fractional-Pauli-principle'' description of excitations around the ν=1/3\nu = 1/3 state in the FQHE, using exact results for small systems of electrons. We find that Haldane's prediction β=±1/m\beta = \pm 1/m for quasiholes and quasiparticles, respectively, describes our results well with the modification βqp=21/3\beta_{qp} = 2-1/3 rather than 1/3-1/3. We also find that this approach enables us to better understand the {\it energetics\/} of the ``daughter'' states; in particular, we find good evidence, in terms of the effective interaction between quasiparticles, that the states ν=4/11\nu = 4/11 and 4/13 should not be stable.Comment: 9 pages, 3 Postscript figures, RevTex 3.0. (UCF-CM-93-005

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