Co-rotational chiral magnetic skyrmions near harmonic maps

Chiral magnetic skyrmions are topological solitons, of significant physical interest, arising in ferromagnets described by a micromagnetic energy including a chiral (Dzyaloshinskii-Moriya) interaction term. We show that for small chiral interaction, the skyrmions on R-2 with co-rotational symmetry are close to harmonic maps, and prove precise bounds on the differences. One application of these bounds is precise energy asymptotics. Another (pursued in a separate work) is an alternate, quantitative proof of the recent skyrmion stability result of Li-Melcher [18]. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

Chiral magnetic skyrmions are topological solitons that arise in ferromagnets with micromagnetic energy including a chiral (Dzyaloshinskii-Moriya) interaction term. When the chiral interaction is small, skyrmions on R-2 with co-rotational symmetry are close to harmonic maps. This study provides another quantitative proof of recent skyrmion stability results.