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Solitons in Chern-Simons theories of nonrelativistic CPN-1 models: Spin textures in the quantum Hall effect

Ikuo Ichinose, Akira Sekiguchi

cond-mat.mes-hallarXiv:cond-mat/9703223

Abstract

Topological solitons in CPN-1 models coupled with Chern-Simons gauge theory and a Hopf term are studied both analytically and numerically.These models are low-energy effective theories for the quantum Hall effect with internal degrees of freedom, like that in bilayer electron systems. We explicitly show that the CPN-1 models describe quite well spin textures in the original Chern-Simons theory of bosonized electrons.

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