AI 中文总结
研究X波磁体（X = p、d、f、g、i）中自旋弛豫，在D'yakonov-Perel'机制框架内计算自旋弛豫时间矩阵，分析不同波磁体情况，推导p波磁体自旋时间演化表达式，发现自旋弛豫率相关规律，增进对自旋弛豫机制理解。
AI 中文摘要
自旋弛豫会导致自旋退相干和有限的自旋寿命，这对自旋电子器件不利。为实现自旋电子器件所需的长自旋寿命，阐明自旋弛豫机制及影响因素至关重要。本文在D'yakonov-Perel'机制框架内研究具有Rashba自旋轨道耦合的X波磁体（X = p、d、f、g、i）中的自旋弛豫。计算了X波磁体任意Néel矢量方向的自旋弛豫时间的一般矩阵。以沿[001]方向的Néel矢量为例研究自旋弛豫。发现d、f、g和i波磁体的倒数自旋弛豫时间矩阵是各向异性且对角的。对于p波磁体，推导了自旋时间演化的解析表达式。此外，所有X波磁体的自旋弛豫率与动量弛豫时间、Rashba和交变磁自旋分裂强度成正比。我们的结果为深入理解X波磁体中的自旋弛豫机制提供了更多线索。
英文摘要
Spin relaxation results in the spin decoherence and a finite spin lifetime, which are detrimental to spintronic devices. To achieve a long spin lifetime desirable for spintronic devices, elucidating the spin relaxation mechanism and factors influencing the spin lifetime is of vital importance. Here, we investigate the spin relaxation in $X$-wave magnets ($X=p, d, f, g, i$) with Rashba spin-orbit coupling within the framework of D'yakonov-Perel' mechanism. We calculate the general matrix of the spin relaxation time for an arbitrary Néel vector direction of the $X$-wave magnet. As an illustration, we study the spin relaxation for the Néel vector along the $[001]$ direction. It is found that the reciprocal spin-relaxation-time matrices are anisotropic and diagonal for the $d$-, $f$-, $g$- and $i$-wave magnets. For the $p$-wave magnet, we derive the analytical expressions for the temporal evolution of spins. Moreover, the spin relaxation rate is proportional to the momentum relaxation time, Rashba and altermagnetic spin-split strengths for all $X$-wave magnets. Our results shine more light on the fundamental understanding of the spin relaxation mechanism in $X$-wave magnets.
