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arXiv · 2004.00670

Co-rotational chiral magnetic skyrmions near harmonic maps

Stephen Gustafson·Li Wang
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Abstract

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 $\mathbb{R}^2$ 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.

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Stephen Gustafson, Li Wang. 2020-04-01. Co-rotational chiral magnetic skyrmions near harmonic maps. https://arxiv.org/abs/2004.00670

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