Anisotropic exchange couplings, such as the Dzyaloshinskii-Moriya interaction (DMI), have played a vital role in the formation and dynamics of spin textures. This work predicts an anisotropic conduction electron spin density in metals with heavy magnetic impurities. The polarization of this Dzyaloshinskii-Moriya spin density (DM-SD) is not collinear to the localized magnetic moments but rotated by the spin-dependent skew scattering of heavy atoms. The DM-SD induces the DMI between magnetic moments in metals and, therefore, it is the anisotropic extension of the Rutherman-Kittel-Kasuya-Yoshida spin density. Our model consists of two localized magnetic moments, one with a large spin-orbit coupling (a lanthanide or rare earth), in a free electron gas. The lanthanide spin controls the DM-SD strength and polarization, promising a flexible control mechanism for anisotropic couplings.

中文翻译：

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斜散射的 Dzyaloshinskii-Moriya 自旋密度

各向异性交换耦合，例如 Dzyaloshinskii-Moriya 相互作用 (DMI)，在自旋纹理的形成和动力学中发挥了至关重要的作用。这项工作预测了具有重磁性杂质的金属中的各向异性传导电子自旋密度。Dzyaloshinskii-Moriya 自旋密度的极化（DM-SD）与局部磁矩不共线，而是由重原子的自旋相关偏斜散射旋转。DM-SD 在金属磁矩之间引起 DMI，因此，它是 Rutherman-Kittel-Kasuya-Yoshida 自旋密度的各向异性扩展。我们的模型由自由电子气中的两个局部磁矩组成，一个具有大的自旋轨道耦合（镧系元素或稀土元素）。镧系元素自旋控制 DM-SD 强度和极化，有望为各向异性耦合提供灵活的控制机制。