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arXiv 1602.01362cond-mat.mes-hall
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静磁体自旋波的二维色散

Two-dimensional dispersion of magnetostatic volume spin waves

F. J. Buijnsters, L. J. A. van Tilburg, A. Fasolino, M. I. Katsnelson

摘要:

偶极(静磁)相互作用在长波长范围内主导磁性薄膜中自旋波的行为。在面内磁化膜中,除了前向表面局域模式(Damon-Eshbach)之外,还存在具有负群速度的体积模式(后向体积静磁自旋波)。在有限厚度的$L$薄膜内部,体模具有非平凡的空间依赖性,它们的二维色散关系$ω(\mathbf{k})$只能用数值方法计算。我们提出了明确的微扰表达式的体积模式的配置文件和频率,考虑到在平面内施加的字段和单轴各向异性,为制度$\lVert \mathbf{k}L \rVert \gg 1$和$\lVert \mathbf{k}L \rVert \ll 1$,这一起提供了一个很好的指示任意波矢$\mathbf{k}$的模式的行为。此外,我们推导出一个非常准确的半解析表达式的色散关系$ω(\mathbf{k})$的最低频率模式,是直接使用标准的数值例程进行评估。我们的结果有助于快速解释和控制自旋波的激发和传播(光)磁实验。

英文摘要:

The dipolar (magnetostatic) interaction dominates the behavior of spin waves in magnetic films in the long-wavelength regime. In an in-plane magnetized film, volume modes exist with a negative group velocity (backward volume magnetostatic spin waves), in addition to the forward surface-localized mode (Damon-Eshbach). Inside the film of finite thickness $L$, the volume modes have a nontrivial spatial dependence, and their two-dimensional dispersion relations $ω(\mathbf{k})$ can be calculated only numerically. We present explicit perturbative expressions for the profiles and frequencies of the volume modes, taking into account an in-plane applied field and uniaxial anisotropy, for the regimes $\lVert \mathbf{k}L \rVert \gg 1$ and $\lVert \mathbf{k}L \rVert \ll 1$, which together provide a good indication of the behavior of the modes for arbitrary wavevector $\mathbf{k}$. Moreover, we derive a very accurate semianalytical expression for the dispersion relation $ω(\mathbf{k})$ of the lowest-frequency mode that is straightforward to evaluate using standard numerical routines. Our results are useful to quickly interpret and control the excitation and propagation of spin waves in (opto-)magnetic experiments.

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