PROPERTIES OF QUANTUM HALL SKYRMIONS FROM ANOMALIES

Citation
S. Baez et al., PROPERTIES OF QUANTUM HALL SKYRMIONS FROM ANOMALIES, Modern physics letters A, 13(32), 1998, pp. 2627-2635
Citations number
32
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
ISSN journal
02177323
Volume
13
Issue
32
Year of publication
1998
Pages
2627 - 2635
Database
ISI
SICI code
0217-7323(1998)13:32<2627:POQHSF>2.0.ZU;2-O
Abstract
In this letter, we introduce Fractional Quantum Hall Effect (FQHE) Sky rmions in the Chern-Simons effective field theory description, and we present a new derivation of the FQHE Skyrmions properties, namely char ge and spin, which results from considerations at the edge of the Hall sample. At the boundary, we demand anomaly cancellation for the chira l edge currents, as well as, allow for the possibility of Skyrmion cre ation and annihilation. For the Skyrmion charge and spin, we get the v alues evN(Sky) and vN(Sky)/2, respectively, where e is electron charge , v is the filling fraction and N-Sky is the Skyrmion winding number. We also add terms to the action so that the classical spin fluctuation s in the bulk satisfy the standard equations of a ferromagnet and find that spin waves propagate with the classical drift velocity of the el ectron.