In this work, we investigate the scattering phenomena at the inhomogeneous boundary of a magnetic interface in two-dimensional (2D)-triangular ferromagnetic waveguide. We especially examine two ferromagnetic interfaces, named heavy and superheavy solitons in 2D-triangular lattices. The system is supported on a nonmagnetic substrate. Therefore, each spin site in the lattice can be considered free from magnetic interactions with its environment. The spin excitations in the modeled system are studied by the field matching theory (FMT). Their magnons transmission/reflection, localized spin states as well as the local density of spin states (LDOS) are calculated and analyzed. They are derived as elements of a Landauer type scattering matrix. The magnonic spectra are calculated specifically for two distinct interfaces, which join the two semi-infinite perfect 2D-triangular waveguides. The inter-atomic magnetic exchange is varied on the interface domain to investigate the consequences of magnetic softening and hardening for the calculated magnetic properties. The numerical results show the interference effects between the incident magnons and the localized spin states on the interface domain, with characteristic magnetic resonances that vary according to each configuration. The numerical results yield an understanding for the relation between the coherent magnon propagation and the interface configuration in the perfect 2D-triangular system.

中文翻译：

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二维三角铁磁波导中的磁振子跨孤子域传输

在这项工作中，我们研究了二维（2D）三角形铁磁波导中磁界面不均匀边界处的散射现象。我们特别研究了两个铁磁界面，在二维三角形晶格中命名为重孤子和超重孤子。该系统支持在非磁性基板上。因此，可以认为晶格中的每个自旋位点与其环境没有磁相互作用。通过场匹配理论（FMT）研究了模型系统中的自旋激发。计算和分析了它们的磁振子透射/反射、局部自旋态以及自旋态的局部密度 (LDOS)。它们是作为 Landauer 型散射矩阵的元素导出的。磁子光谱是专门为两个不同的界面计算的，它加入了两个半无限完美的二维三角波导。原子间磁交换在界面域上变化，以研究磁软化和硬化对计算磁性能的影响。数值结果显示了入射磁振子与界面域上的局部自旋态之间的干涉效应，特征磁共振根据每种配置而变化。数值结果有助于理解完美二维三角系统中相干磁振子传播与界面配置之间的关系。数值结果显示了入射磁振子与界面域上的局部自旋态之间的干涉效应，特征磁共振根据每种配置而变化。数值结果有助于理解完美二维三角系统中相干磁振子传播与界面配置之间的关系。数值结果显示了入射磁振子与界面域上的局部自旋态之间的干涉效应，特征磁共振根据每种配置而变化。数值结果有助于理解完美二维三角系统中相干磁振子传播与界面配置之间的关系。