Solitons in Chern-Simons theories of nonrelativistic CP^{N-1} models: Spin textures in the quantum Hall effect

TL;DR

This paper investigates topological solitons in CP^{N-1} models coupled with Chern-Simons gauge theory, demonstrating their relevance in describing spin textures in quantum Hall systems with internal degrees of freedom.

Contribution

It provides an analytical and numerical study of solitons in these models, linking them to physical spin textures in quantum Hall effects.

Findings

CP^{N-1} models accurately describe spin textures in quantum Hall systems.

Explicit analytical and numerical solutions for solitons are presented.

The models capture the low-energy physics of bilayer electron systems.

Abstract

Topological solitons in CP^{N-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 CP^{N-1} models describe quite well spin textures in the original Chern-Simons theory of bosonized electrons.