论文标题
共旋转性手性磁空旁边图附近
Co-rotational chiral magnetic skyrmions near harmonic maps
论文作者
论文摘要
手性磁空是拓扑孤子，具有显着的物理兴趣，是由微磁能描述的铁磁体引起的，包括手性（Dzyaloshinskii-Moriya）相互作用项。我们表明，对于小手性相互作用，与共旋转对称性的$ \ mathbb {r}^2 $上的Skyrmions接近谐波图，并在差异上证明了精确的界限。这些边界的一种应用是精确的能量渐近学。另一个（在另一项工作中）是李·梅尔彻最近的天空稳定性结果的另一种定量证明。
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.
