Neutral skyrmion configurations in the low-energy effective theory of spinor condensate ferromagnets

Details Neutral skyrmion configurations in the low-energy effective theory of spinor condensate ferromagnets Neutral skyrmion configurations in the low-energy effective theory of spinor condensate ferromagnets

2010-08-13

arxiv.org/abs/1008.2239v1

Physics

Condensed Matter

Quantum Gases

13 pages, 7 figures

Scientific paper

We study the low-energy effective theory of spinor condensate ferromagnets for the superfluid velocity and magnetization degrees of freedom. This effective theory describes the competition between spin stiffness and a long-ranged interaction between skyrmions, topological objects familiar from the theory of ordinary ferromagnets. We find exact solutions to the non-linear equations of motion describing neutral configurations of skyrmions and anti-skyrmions. These analytical solutions provide a simple physical picture for the origin of crystalline magnetic order in spinor condensate ferromagnets with dipolar interactions. We also point out the connections to effective theories for quantum Hall ferromagnets.

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