Hamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term
Mesoscale and Nanoscale Physics
2009-10-30 v2 High Energy Physics - Theory
Abstract
We study the nonrelativistic nonlinear sigma model with Hopf term in this paper. This is an important issue beacuse of its relation to the currently interesting studies in skyrmions in quantum Hall systems. We perform the Hamiltonian analysis of this system in variables. When the coefficient of the Hopf term becomes zero we get the Landau-Lifshitz description of the ferromagnets. The addition of Hopf term dramatically alters the Hamiltonian analysis. The spin algebra is modified giving a new structure and interpretation to the system. We point out momentum and angular momentum generators and new features they bring in to the system.
Keywords
Cite
@article{arxiv.cond-mat/9702132,
title = {Hamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term},
author = {B. Chakraborty and T. R. Govindarajan},
journal= {arXiv preprint arXiv:cond-mat/9702132},
year = {2009}
}
Comments
16pages, Latex file, typos corrected