Solitons in Chern–Simons Theories of Nonrelativistic CPN-1 Models: Spin Textures in the Quantum Hall Effect

Abstract

Topological solitons in CP N-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 effect (QHE) with internal degrees of freedom, like the QHE in double-layer electron systems. These solitons correspond to skyrmions and merons which are charged quasi-excitations in the QHE. We explicitly show that the CP N-1 models can be used to represent (pseudo-)spin textures in the original Chern–Simons theory of bosonized electrons.