4.6 Article

Co-rotational chiral magnetic skyrmions near harmonic maps

Journal

JOURNAL OF FUNCTIONAL ANALYSIS
Volume 280, Issue 4, Pages -

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2020.108867

Keywords

Magnetic skyrmion; Topological soliton; Lyapunov-Schmidt reduction; Threshold resonance

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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.
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.

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