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

TL;DR

This paper investigates the low-energy effective theory of spinor condensate ferromagnets, revealing exact solutions for neutral skyrmion configurations and their role in magnetic ordering, with connections to quantum Hall ferromagnets.

Contribution

It provides analytical solutions for neutral skyrmion configurations in spinor condensate ferromagnets, elucidating the origin of crystalline magnetic order and linking to quantum Hall ferromagnet theories.

Findings

Exact solutions for neutral skyrmion configurations

Crystalline magnetic order explained by skyrmion interactions

Connections established with quantum Hall ferromagnet theories

Abstract

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.