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arXiv 1202.0890cond-mat.mes-hall
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铁磁金属层中Rashba自旋力矩的非平衡空间分布

Non-equilibrium spatial distribution of Rashba spin torque in ferromagnetic metal layer

N. L. Chung, M. B. A. Jalil, S. G. Tan

摘要:

利用Keldysh非平衡格林函数方法研究了铁磁金属层中强Rashba自旋轨道耦合(RSOC)引起的自旋力矩的空间分布.在非平衡传导电子与局域磁矩之间存在s-d相互作用的情况下,RSOC效应在磁矩上产生一个转矩,我们称之为Rashba自旋转矩。在这项工作中的Rashba自旋力矩和空间自旋电流之间的相关性,清楚地映射Rashba自旋力矩在纳米尺寸的铁磁器件的空间分布。当局部磁性被打开时,面外(Sz)自旋霍尔效应(SHE)被破坏,但意外地检测到面内(Sy)SHE。我们还研究了Rashba强度(α R)和分裂交换(Δ)对器件上平均的非平衡Rashba自旋矩的影响。拉什巴自旋力矩允许自旋动量的有效转移,因此,在低于10^6 A/cm ^2的低电流密度下,可以获得20 mT的典型开关场。

英文摘要:

We study the spatial distribution of spin torque induced by a strong Rashba spin-orbit coupling (RSOC) in a ferromagnetic (FM) metal layer, using the Keldysh non-equilibrium Green's function method. In the presence of the s-d interaction between the non-equilibrium conduction electrons and the local magnetic moments, the RSOC effect induces a torque on the moments, which we term as the Rashba spin torque. A correlation between the Rashba spin torque and the spatial spin current is presented in this work, clearly mapping the spatial distribution of Rashba Spin torque in a nano-sized ferromagnetic device. When local magnetism is turned on, the out-of-plane (Sz) Spin Hall effect (SHE) is disrupted, but rather unexpectedly an in-plane (Sy) SHE is detected. We also study the effect of Rashba strength (α_R) and splitting exchange (Δ) on the non-equilibrium Rashba spin torque averaged over the device. Rashba spin torque allows an efficient transfer of spin momentum such that a typical switching field of 20 mT can be attained with a low current density of less than 10^6 A/cm^2.

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