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arXiv 2204.05065cond-mat.mes-hall
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超越薄壳近似的电流自旋波动力学:磁性纳米管的实例研究

Curvilinear spin-wave dynamics beyond the thin-shell approximation: Magnetic nanotubes as a case study

Lukas Körber, Roman Verba, Jorge A. Otálora, Volodymyr Kravchuk, Jürgen Lindner, Jürgen Fassbender, Attila Kákay

摘要:

磁系统的表面曲率会导致许多静态和动态效应,这些效应在相同材料的平面系统中不存在。这些涌现的磁手征效应可以导致自旋波的频率非互易性,这已被证明是偶极起源的体效应,并且与磁体电荷中的曲率诱导对称性破缺有关。到目前为止,这样的影响已经研究了理论上的薄壳,其中的自旋波的空间分布可以假设为沿厚度均匀。在这里,使用有限元动力矩阵方法,我们调查的自旋波谱从薄到厚的曲线壳的过渡,在例子中的磁性纳米管的涡旋状态。随着厚度的增加,我们观察到高阶径向模式的出现,这些模式具有很强的杂化性,类似于平坦薄膜中的双稳态驻波(PSSW)。随着色散不对称性的增加,我们揭示了曲率引起的模式分布的非互易性。这是解释在一个非常简单的图片一般为厚曲线壳,考虑沿壳的厚度出现的几何体积电荷的不均匀性。这种曲率引起的模式分布不对称性也导致非互易杂交,这可以促进单向自旋波传播。与此同时,我们也展示了曲率如何允许高阶径向模式的非线性三波分裂成也可以单向传播的二次模式。我们相信,我们的研究提供了一个显着的贡献,在曲线磁系统的自旋波动力学的理解,但也将这些新的磁振子应用。

英文摘要:

Surface curvature of magnetic systems can lead to many static and dynamic effects which are not present in flat systems of the same material. These emergent magnetochiral effects can lead to frequency nonreciprocity of spin waves, which has been shown to be a bulk effect of dipolar origin and is related to a curvature-induced symmetry breaking in the magnetic volume charges. So far, such effects have been investigated theoretically mostly for thin shells, where the spatial profiles of the spin waves can be assumed to be homogeneous along the thickness. Here, using a finite-element dynamic-matrix approach, we investigate the transition of the spin-wave spectrum from thin to thick curvilinear shells, at the example of magnetic nanotubes in the vortex state. With increasing thickness, we observe the appearance of higher-order radial modes which are strongly hybridized and resemble the perpendicular-standing-waves (PSSWs) in flat films. Along with an increasing dispersion asymmetry, we uncover the curvature-induced non-reciprocity of the mode profiles. This is explained in a very simple picture general for thick curvilinear shells, considering the inhomogeneity of the emergent geometric volume charges along the thickness of the shell. Such curvature-induced mode-profile asymmetry also leads to non-reciprocal hybridization which can facilitate unidirectional spin-wave propagation. With that, we also show how curvature allows for nonlinear three-wave splitting of a higher-order radial mode into secondary modes which can also propagate unidirectionally. We believe that our study provides a significant contribution to the understanding of the spin-wave dynamics in curvilinear magnetic systems, but also advertises these for novel magnonic applications.

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