EDGE EXCITATIONS OF THE NU=2 3 SPIN-SINGLET QUANTUM HALL STATE/

Citation
Je. Moore et Fdm. Haldane, EDGE EXCITATIONS OF THE NU=2 3 SPIN-SINGLET QUANTUM HALL STATE/, Physical review. B, Condensed matter, 55(12), 1997, pp. 7818-7823
Citations number
20
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
55
Issue
12
Year of publication
1997
Pages
7818 - 7823
Database
ISI
SICI code
0163-1829(1997)55:12<7818:EEOTN3>2.0.ZU;2-S
Abstract
The spectrum of edge excitations is derived for the spin unpolarized v =2 and v=2/3 fractional quantum Hall effect (FQHE). Numerical diagonal ization of a system of six electrons on a disk confirms that the edge v=2/3 spin-singlet FQHE state consists of oppositely directed spin and charge branches on the same physical edge. The highly correlated v=2/ 3 singlet edge is shown to have the same spin branch as the v=2 single t edge, providing evidence that the same SU(2)(k=1) Kac-Moody algebra describes all unmixed spin branches. The spin and charge branches of t he singlet state at v=2/3 are less coupled than the two branches of th e spin polarized state at the same filling factor, suggesting that the conductance along an edge may increase sharply across the polarized u npolarized transition.