Md. Johnson et Gs. Canright, HALDANE FRACTIONAL STATISTICS IN THE FRACTIONAL QUANTUM HALL-EFFECT, Physical review. B, Condensed matter, 49(4), 1994, pp. 2947-2950
We have tested Haldane's ''fractional-Pauli-principle'' description of
excitations around the nu = 1/3 state in the fractional quantum Hall
effect, using exact results for small systems of electrons. We find th
at Haldane's prediction beta = +/-1m for quasiholes and quasiparticles
, respectively, describes our results well with the modification beta(
qp) = 2 - 1/3 rather than - 1/3 enables us to better understand the en
ergetics of the ''daughter'' states; in particular, we find good evide
nce, in terms of the effective interaction between quasiparticles, tha
t the states nu = 4/11 and 4/13 should not be stable.