Haldane fractional statistics in the fractional quantum Hall effect

We have tested Haldane’s ‘‘fractional-Pauli-principle’’ description of excitations around the ν=1/3 state in the fractional quantum Hall effect, using exact results for small systems of electrons. We find that Haldane’s prediction β=±1/m for quasiholes and quasiparticles, respectively, describes our results well with the modification ${\mathrm{\beta }}_{\mathit{q}\mathit{p}}$=2-1/3 rather than -1/3. We also find that this approach enables us to better understand the 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 and 4/13 should not be stable.