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arXiv 2003.11649cond-mat.mes-hall
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Dzyaloshinskiii-Moriya相互作用引起的非共线磁体中自旋波的非互易性

Nonreciprocity of spin waves in noncollinear magnets due to the Dzyaloshinskii-Moriya interaction

Flaviano José dos Santos, Manuel dos Santos Dias, Samir Lounis

摘要:

破缺的反转对称性与自旋轨道相互作用相结合产生有限的Dzyaloshinskiii-Moriya相互作用(Dzyaloshinskiii-Moriya interaction),它可以诱导手性性质的非共线自旋织构。自旋的特征是相互作用矢量,其大小、方向和对称性对确定各种自旋织构的稳定性至关重要,如skyrmions和自旋螺旋。铁磁物质中自旋波的非互易性可以测量到,这可以通过非弹性散射实验来探测。在铁磁体中,双折射可以改变自旋波色散,使其最小值远离$Γ$点。以相反波矢传播的自旋波则以不同的群速度、能量和寿命为特征,定义了它们的非互易性。在这里,我们解决的情况下,复杂的自旋纹理,其中表现出的DMI诱导的手性不对称性仍有待探讨。我们讨论了这种非互易效应,并提出了在自旋极化或自旋分辨非弹性散射实验的背景下访问的幅度和方向的矢量的方法。我们证明了只有当一个周期磁系统具有有限的净磁化强度时,即当所有磁矩的矢量和不为零时,它才能呈现一个总的非互易自旋波谱。然而,即使是零净磁化系统,如共线反铁磁体和摆线自旋螺旋,也可以具有单独非互易的自旋波模式,而总频谱保持互易。

英文摘要:

Broken inversion symmetry in combination with the spin-orbit interaction generates a finite Dzyaloshinskii-Moriya interaction (DMI), which can induce noncollinear spin textures of chiral nature. The DMI is characterized by an interaction vector whose magnitude, direction and symmetries are crucial to determine the stability of various spin textures, such as skyrmions and spin spirals. The DMI can be measured from the nonreciprocity of spin waves in ferromagnets, which can be probed via inelastic scattering experiments. In a ferromagnet, the DMI can modify the spin-wave dispersion, moving its minimum away from the $Γ$ point. Spin waves propagating with opposite wavevectors are then characterized by different group velocities, energies and lifetimes, defining their nonreciprocity. Here, we address the case of complex spin textures, where the manifestation of DMI-induced chiral asymmetries remains to be explored. We discuss such nonreciprocal effects and propose ways of accessing the magnitude and direction of the DMI vectors in the context of spin-polarized or spin-resolved inelastic scattering experiments. We show that only when a periodic magnetic system has finite net magnetization, that is, when the vector sum of all magnetic moments is nonzero, can it present a total nonreciprocal spin-wave spectrum. However, even zero-net-magnetization systems, such as collinear antiferromagnets and cycloidal spin spirals, can have spin-wave modes that are individually nonreciprocal, while the total spectrum remains reciprocal.

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