无反转对称螺旋磁体中的精确非圆对称N-skyrmions
Exact non-circular symmetric N-skyrmions in helical magnets without inversion symmetry
摘要：
近年来，人们注意到helimagnet MnSi的不寻常的磁性行为，这促使人们怀疑这种晶体中产生的磁性状态具有拓扑性质。最近基于拓扑霍尔效应的实验证实了诸如skyrmions之类的拓扑非平凡状态，它们位于垂直于所施加磁场的平面上。本文提出了一个具有竞争交换和Dzyaloshinskiii-Moriya型相互作用的手征磁体的理论模型，该模型得到了具有整数拓扑荷的精确Skyrmion孤子。这种拓扑稳定的自旋态在二维平面上具有解析解，显示出半序螺旋结构，没有反转和圆对称。这些确切的N-skyrmions，虽然代表较高的激发态，对应于最低的能量稳定的配置在每个拓扑扇区，并可能出现在MnSi在适当的实验条件下。
英文摘要：
The unusual magnetic behaviour of helimagnet MnSi, noticed in recent years, prompted the suspicion that the magnetic states arising in such crystals are of topological nature. Recent experiments based on the topological Hall effect confirmed such topologically nontrivial states as the skyrmions, located on a plane perpendicular to the applied magnetic field. We present here a theoretical model for chiral magnets with competing exchange and Dzyaloshinskii-Moriya type interaction, which leads to an exact skyrmionic soliton with integer topological charge. Such topologically stable spin states with analytic solution on a two-dimensional plane show helical structures of partial order, without inversion and circular symmetry. These exact N-skyrmions, though represent higher excited states, correspond to the lowest energy stable configuration in each topological sector and are likely to appear in MnSi under suitable experimental conditions.
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