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arXiv 2208.09581cond-mat.mes-hallcond-mat.mtrl-sci
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自旋力矩的场论方法:Slonczewski力矩

Field theoretical approach to spin torques: Slonczewski torques

Junji Fujimoto

摘要:

基于久保公式的量子场论方法成功地捕获了连续统系统的自旋转移矩和自旋轨道矩等自旋矩。我们研究了磁场理论方法在磁结系统中的电流感应自旋转移力矩。我们首先简要介绍了自旋力矩的场论方法。然后,我们考虑了一个五层系统,由三个铁磁金属层分开的两个铁磁金属层,并施加一个电场垂直于层。我们证明了Slonczewski型自旋转移力矩,或简称的Slonczewski扭矩,在铁磁层的磁化通过评估非平衡电子自旋密度,基于线性响应理论与格林函数方法。得到的Slonczewski力矩系数在绝对零度下存在量子振荡,这是以前没有提到过的。还评估了伴随Slonczewski扭矩的类场扭矩。

英文摘要:

The quantum field theoretical approach with the Kubo formula has successfully captured spin torques, such as spin-transfer torques and spin-orbit torques, for continuum systems. We examine the field theoretical approach to current-induced spin-transfer torques in a magnetic junction system. We first give a brief overview of the field theoretical approach to spin torques. Then, we consider a five-layers system consisting of three nonmagnetic metal layers separated by two ferromagnetic metal layers and apply an electric field perpendicular to the layers. We demonstrate that the Slonczewski-type spin-transfer torque, or shortly the Slonczewski torque, on the magnetizations in ferromagnetic layers is obtained by evaluating nonequilibrium electron spin density, based on the linear response theory with the Green function method. The obtained coefficient of the Slonczewski torque has a quantum oscillation at absolute zero temperature, which has not been mentioned before. A field-like torque accompanied by the Slonczewski torque is also evaluated.

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