论文标题
旋转扭矩的现场理论方法:Slonczewski Torques
Field theoretical approach to spin torques: Slonczewski torques
论文作者
论文摘要
使用Kubo公式的量子场理论方法成功地捕获了连续系统的自旋扭矩,例如自旋转移扭矩和自旋轨道扭矩。我们检查了磁连接系统中电流诱导的自旋转移扭矩的现场理论方法。我们首先简要概述了旋转扭矩的现场理论方法。然后,我们考虑了一个五层系统,该系统由三个非磁性金属层组成,这些金属层由两个铁磁金属层隔开,并施加垂直于层的电场。我们证明,Slonczewski-Type自旋转移扭矩,或不久的是Slonczewski扭矩,在铁电磁层中的磁化上是通过使用绿色功能方法的线性响应理论来评估非平衡电子自旋密度来获得的。 Slonczewski扭矩的获得系数在绝对零温度下具有量子振荡,这是之前尚未提及的。还评估了带有Slonczewski扭矩的场状扭矩。
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.