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首页> 外文期刊>Physical review >Spin relaxation and the Elliott-Yafet parameter in W(001) ultrathin films: Surface states,anisotropy, and oscillation effects
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Spin relaxation and the Elliott-Yafet parameter in W(001) ultrathin films: Surface states,anisotropy, and oscillation effects

机译：W（001）超薄膜中的自旋弛豫和Elliott-Yafet参数：表面状态，各向异性和振荡效应

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Using first-principles methods based on density-functional theory, we investigate the spin relaxation in W(001) ultrathin films. Within the framework of the Elliott-Yafet theory, we calculate the spin mixing of the Bloch states and we explicitly consider spin-flip scattering off self-adatoms. At small film thicknesses, we find an oscillatory behavior of the spin-mixing parameter and relaxation rate as a function of the film thickness, which we trace back to surface-state properties. We also analyze the Rashba effect experienced by the surface states and discuss its influence on the spin relaxation. Finally, we calculate the anisotropy of the spin-relaxation rate with respect to the polarization direction of the excited spin population relative to the crystallographic axes of the film. We find that the spin-relaxation rate can increase by as much as 27% when the spin polarization is directed out of plane, compared to the case when it is in plane. Our calculations are based on the multiple-scattering formalism of the Korringa-Kohn-Rostoker Green-function method.
机译：使用基于密度泛函理论的第一原理方法，我们研究了W（001）超薄膜的自旋弛豫。在Elliott-Yafet理论的框架内，我们计算了Bloch态的自旋混合，并明确考虑了自吸附原子的自旋翻转散射。在较小的薄膜厚度下，我们发现自旋混合参数和弛豫率随薄膜厚度的变化而发生振荡，我们可以追溯到表面状态特性。我们还分析了表面状态所经历的拉什巴效应，并讨论了其对自旋弛豫的影响。最后，我们计算了相对于薄膜晶体轴的，相对于受激自旋种群的极化方向的自旋弛豫速率的各向异性。我们发现，与在平面内时相比，在将自旋极化指向平面外时，自旋松弛率可以提高27％。我们的计算基于Korringa-Kohn-Rostoker格林函数方法的多重散射形式。

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