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.

中文翻译：

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谐波图附近的同向手征磁性斯格明子

手性磁性斯格明子是拓扑孤子，具有重要的物理意义，出现在由微磁能量描述的铁磁体中，包括手性（Dzyaloshinskii-Moriya）相互作用项。我们表明，对于小的手性相互作用，$\mathbb{R}^2$ 上具有共同旋转对称性的斯格明子接近调和映射，并证明了差异的精确界限。这些界限的一种应用是精确的能量渐近。另一个（在单独的工作中进行）是 Li-Melcher 最近斯格明子稳定性结果的替代定量证明。