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arXiv · 2607.17807

Spin relaxation in $X$-wave magnets with $X=p, d, f, g, i$

Lijie Liu·Mingbo Dou·Xu Chen·Xianjie Wang·M. Ye. Zhuravlev·A. V. Nikolaev·L. L. Tao
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Abstract

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.

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Lijie Liu, Mingbo Dou, Xu Chen, Xianjie Wang, M. Ye. Zhuravlev, A. V. Nikolaev, L. L. Tao. 2026-07-20. Spin relaxation in $X$-wave magnets with $X=p, d, f, g, i$. https://arxiv.org/abs/2607.17807

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