论文标题
倾斜磁场中手性磁性天际的稳定性和渐近相互作用
Stability and asymptotic interactions of chiral magnetic skyrmions in a tilted magnetic field
论文作者
论文摘要
使用一般框架,通过倾斜外部磁场的平面系统中的手性磁孔之间的相互作用势在分析中以大分离的极限进行分析计算。将结果与具有拓扑充电$ \ pm 1 $的孤子的先前数值结果进行了比较。该计算的一个关键特征是将Dzyaloshinskii-Moriya互动(DMI)作为背景$ SO(3)$ gauge字段的解释。在倾斜的字段中,这导致了$ u(1)$ - 对旋转激发的常规方程式的测量版本,从而导致独特的振荡交互配置文件。我们还可以在倾斜的场中获得Skyrmion稳定性的预测,该倾斜场与数值观测值紧密匹配。
Using a general framework, interaction potentials between chiral magnetic solitons in a planar system with a tilted external magnetic field are calculated analytically in the limit of large separation. The results are compared to previous numerical results for solitons with topological charge $\pm 1$. A key feature of the calculation is the interpretation of Dzyaloshinskii-Moriya interaction (DMI) as a background $SO(3)$ gauge field. In a tilted field, this leads to a $U(1)$-gauged version of the usual equation for spin excitations, leading to a distinctive oscillating interaction profile. We also obtain predictions for skyrmion stability in a tilted field which closely match numerical observations.