Hamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term

Details Hamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term Hamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term

1997-02-13

arxiv.org/abs/cond-mat/9702132v2

Mod.Phys.Lett. A12 (1997) 619-630

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16pages, Latex file, typos corrected

Scientific paper

10.1142/S0217732397000649

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 $CP^1$ 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.

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