调和映射附近的共旋手征磁Skyrmions
Co-rotational chiral magnetic skyrmions near harmonic maps
摘要：
手征磁Skyrmion是一种拓扑孤子，具有重要的物理意义，产生于铁磁体中，由包含手征（Dzyaloshinskiiii-Moriya）相互作用项的微磁能描述。我们证明了对于小的手征相互作用，具有共旋对称性的$\mathbb{R}^2$上的skyrmions接近调和映射，并证明了精确的界限的差异。这些界限的一个应用是精确的能量渐近。另一个（追求在一个单独的工作）是一个替代，定量证明最近skyrmion稳定性结果的李梅尔彻。
英文摘要：
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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