Haldane Fractional Statistics In The Fractional Quantum Hall-Effect
Abbreviated Journal Title
Phys. Rev. B
STATES; HIERARCHY; Physics, Condensed Matter
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 that 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 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.
Physical Review B
"Haldane Fractional Statistics In The Fractional Quantum Hall-Effect" (1994). Faculty Bibliography 1990s. 1073.