In this work, we introduce a computer model and theoretical approach based on the matching technique to investigate the spin precession and the magnetic properties of an ordered magnetic interface joining two ferromagnetic multilayers of type AB, made of 10 spin slabs, obtained by alternative two spin layers A and B. We simulate, particularly, the coherent magnon transmission through spins’ interface, in multilayered thin films, obtained by shearing a part of the film from the other at an angle of 30^∘. The individual and total transmittance of bulk magnons of the thin film, scattering coherently at the shearing interface zone and the localized magnonic spin states, are calculated and analyzed. The transmission and reflection spin modes are derived as elements of a Landauer–Büttiker type scattering matrix. The results highlight the localized spin states on the interface shear domain and their interactions with incident magnons. The evolutions of the magnonic spectra can be presented for arbitrary directions of the incident magnons on the boundary zone, for all accessible frequencies in the propagating bands as well as for the magnetic exchange coupling between each spin A(B) and its adjacent sites and their spin intensity. The results demonstrate the dependence of the magnonic spectra for the perfect multilayered films and at the inhomogeneous domain of the interface shear. The analysis of the spectra illustrates the fluctuations, related to Fano resonances, due to the coupling between travelling magnons and the localized modes in the shear interface domain. The calculated spectra could yield useful information concerning the magnetic parameters of such interface slabs in multilayered films.

中文翻译：

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多层铁磁板中沿剪切自旋散射的磁振子的建模与仿真

在这项工作中，我们介绍了一种基于匹配技术的计算机模型和理论方法，以研究连接两个 AB 型铁磁多层的有序磁界面的自旋进动和磁性，由 10 个自旋板组成，通过交替两个自旋获得A 层和 B 层。我们特别模拟了多层薄膜中通过自旋界面的相干磁振子传输，这是通过以 30 ^{∘角将薄膜的一部分与另一部分剪切而获得的}. 计算和分析了薄膜体磁子的单个和总透射率，在剪切界面区相干散射和局部磁子自旋态。透射和反射自旋模式是作为 Landauer-Büttiker 型散射矩阵的元素导出的。结果突出了界面剪切域上的局部自旋态及其与入射磁振子的相互作用。可以针对边界区域上入射磁振子的任意方向、传播频带中的所有可访问频率以及每个自旋 A(B) 与其相邻位置及其相邻位置之间的磁交换耦合呈现磁子光谱的演变。旋转强度。结果证明了完美多层膜和界面剪切的不均匀域的磁子光谱的依赖性。光谱分析说明了与 Fano 共振相关的波动，这是由于移动磁振子与剪切界面域中的局部模式之间的耦合造成的。计算的光谱可以产生有关多层薄膜中这种界面板的磁性参数的有用信息。