HALDANE FRACTIONAL STATISTICS IN THE FRACTIONAL QUANTUM HALL-EFFECT

Citation
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
Citations number
22
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
49
Issue
4
Year of publication
1994
Pages
2947 - 2950
Database
ISI
SICI code
0163-1829(1994)49:4<2947:HFSITF>2.0.ZU;2-J
Abstract
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.