SOLITONS IN CHERN-SIMONS THEORIES OF NONRELATIVISTIC CPN-1 MODELS - SPIN TEXTURES IN THE QUANTUM HALL-EFFECT

Citation
I. Ichinose et A. Sekiguchi, SOLITONS IN CHERN-SIMONS THEORIES OF NONRELATIVISTIC CPN-1 MODELS - SPIN TEXTURES IN THE QUANTUM HALL-EFFECT, Modern physics letters A, 12(30), 1997, pp. 2243-2260
Citations number
16
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
ISSN journal
02177323
Volume
12
Issue
30
Year of publication
1997
Pages
2243 - 2260
Database
ISI
SICI code
0217-7323(1997)12:30<2243:SICTON>2.0.ZU;2-9
Abstract
Topological solitons in CPN-1 models coupled with a Chern-Simons gauge field and a Hopf term are studied both analytically and numerically. These models are low-energy effective theories for the quantum Hall ef fect (QHE) with internal degrees of freedom, like the QHE in double-la yer electron systems. These solitons correspond to skyrmions and meron s which are charged quasi-excitations in the QHE. We explicitly show t hat the CPN-1 models can be used to represent (pseudo-)spin textures i n the original Chern-Simons theory of bosonized electrons.