Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators

Abstract

We investigate the nonequilibrium spin polarization due to a temperature gradient in antiferromagnetic insulators, which is the magnonic analogue of the inverse spin-galvanic effect of electrons. We derive a linear response theory of a temperature-gradient-induced spin polarization for collinear and noncollinear antiferromagnets, which comprises both extrinsic and intrinsic contributions. We apply our theory to several noncentrosymmetric antiferromagnetic insulators, i.e., to a one-dimensional antiferromagnetic spin chain, a single layer of kagome noncollinear antiferromagnet, e.g., ${\text{KFe}}_3(\text{OH}{)}_6({\text{SO}}_4{)}_2$, and a noncollinear breathing pyrochlore antiferromagnet, e.g., LiGaCr${}_4$O${}_8$. The shapes of our numerically evaluated response tensors agree with those implied by the magnetic symmetry. Assuming a realistic temperature gradient of $10\text{K}/\text{mm}$, we find two-dimensional spin densities of up to $\sim 10^6\hslash /{\text{cm}}^2$ and three-dimensional bulk spin densities of up to $\sim 10^{14}\hslash /{\text{cm}}^3$, encouraging an experimental detection.

arXiv comment17 pages,6 figures

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