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我们运用微磁学方法,解析地推导了交换耦合多层膜的成核场公式,得到了成核场分别随软、硬磁相厚度变化的曲线,并给出了成核时磁矩角度的空间分布.我们发现成核场随软磁相厚度Ls增加而单调减小,随硬磁相厚度Lh增加而单调增加,没有出现一些文献中所发现的平台和峰值.当Lh>5nm时,Lh对成核场的影响可以忽略,Ls对成核场起主导作用.成核点磁矩分布并不唯一,但角度满足一定的比值关系.随着薄膜厚度(主要是Ls)的减小,软、硬磁间交换耦合作用逐渐增强,复合磁体由退耦合磁体逐步过渡到交换弹簧,并最后过渡到刚性磁体.即使是刚性磁体,也不会出现完全一致转动的成核模式.
We use the micro-magnetic method to analytically derive the nucleation field of the exchange-coupled multi-layer film. The curve of the nucleation field changes with the thicknesses of the soft magnetic phase and the hard magnetic phase respectively is obtained, and the magnetic moment angle We found that the nucleation field decreases monotonically with the increase of the soft magnetic phase thickness Ls and monotonically increases with the increase of the hard magnetic phase thickness Lh, and some platforms and peaks found in the literature do not appear.When Lh> 5nm, Lh The influence of nucleation field is negligible, and Ls plays a leading role in the nucleation field.The distribution of magnetic moment in nucleation site is not unique, but the angle satisfies a certain ratio relationship.With the decrease of film thickness (mainly Ls), the soft , The interaction between hard magnetic exchange coupling gradually increased, the composite magnet gradual transition from the decoupling magnet to the exchange spring, and finally the transition to the rigid magnet. Even rigid magnets, will not appear fully consistent nucleation mode of rotation.