Haldane fractional statistics in the fractional quantum Hall effect

Abstract

We have tested Haldane's ``fractional-Pauli-principle'' description of excitations around the $\nu =1/3$ state in the FQHE, using exact results for small systems of electrons. We find that Haldane's prediction $\beta =\pm 1/m$ for quasiholes and quasiparticles, respectively, describes our results well with the modification ${\beta }_{qp}=2-1/3$ rather than $-1/3$. 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 $\nu =4/11$ and 4/13 should not be stable.

9 pages, 3 Postscript figures, RevTex 3.0. (UCF-CM-93-005)