论文标题
手性金属表面的自旋松弛，扩散和埃德尔斯坦效应
Spin Relaxation, Diffusion and Edelstein Effect in Chiral Metal Surface
论文作者
论文摘要
我们通过使用Boltzmann传输方程式在宽松时间近似之外使用手性晶体结构金属的自旋分裂表面和界面上的Edelstein效应的电子自旋传输。我们首先定义了带有各向异性自旋的二维系统的自旋松弛时间和自旋扩散长度 - 通过碰撞积分中积分内核的光谱耦合。然后，我们明确考虑了手性金属与具有有限厚度的非磁性金属之间的界面。对于此复合系统，我们得出了分析表达式，以获得电流电流的效率 - 自旋电流互换以及Edelstein效应中发现的其他系数。我们还开发了Edelstein效应中的Onsager的互惠以及实验，以使其与局部输入和输出相关联，这些输入和输出分别在被界面分离的区域中定义。我们最终通过界面提供了与Edelstein效应相对应的转移矩阵，我们可以轻松地代表Onsager的互惠以及电荷 - 旋转转换效率。我们确认了从补充材料中的Keldysh形式主义开始的本系统中Boltzmann传输方程的有效性。我们的公式也适用于Rashba模型和其他旋转分解系统。
We study electron spin transport at spin-splitting surface of chiral-crystalline-structured metals and Edelstein effect at the interface, by using the Boltzmann transport equation beyond the relaxation time approximation. We first define spin relaxation time and spin diffusion length for two-dimensional systems with anisotropic spin--orbit coupling through the spectrum of the integral kernel in the collision integral. We then explicitly take account of the interface between the chiral metal and a nonmagnetic metal with finite thickness. For this composite system, we derive analytical expressions for efficiency of the charge current--spin current interconversion as well as other coefficients found in the Edelstein effect. We also develop the Onsager's reciprocity in the Edelstein effect along with experiments so that it relates local input and output, which are respectively defined in the regions separated by the interface. We finally provide a transfer matrix corresponding to the Edelstein effect through the interface, with which we can easily represent the Onsager's reciprocity as well as the charge--spin conversion efficiencies we have obtained. We confirm the validity of the Boltzmann transport equation in the present system starting from the Keldysh formalism in the supplemental material. Our formulation also applies to the Rashba model and other spin-splitting systems.
