自旋力矩驱动的耦合双层结构动力学：保守耦合与耗散耦合的相互作用
Spin torque driven dynamics of a coupled two layer structure: interplay between conservative and dissipative coupling
摘要：
在这篇手稿中，自旋波理论的一般概念适用于基于通过层间交换（保守耦合）和相互自旋力矩（耗散耦合）耦合的两个层的自极化系统的动力学。提出了一种非线性动力学的解析描述，并通过数值模拟进行了验证。与单层模型相比，耦合系统的相方程具有来自LLGS方程的耗散部分的贡献。它表明，这是一个重大的贡献，强制性的频率来描述耦合系统的动力学的最基本的功能。使用所提出的模型耦合动力学的一个具体特点是解决：红移到蓝移过渡中观察到的频率电流依赖于这种交换耦合系统时，增加了外加电场。结果发现，蓝移制度只能发生在一个领域的两个线性本征模贡献相等的稳态模式（即高模式杂交）。最后，提出了耦合系统的一般摄动哈密顿方程。
英文摘要：
In this manuscript the general concepts of spin wave theory are adapted to the dynamics of a self-polarized system based on two layers coupled via interlayer exchange (conservative coupling) and mutual spin torque (dissipative coupling). An analytical description of the non-linear dynamics is proposed and validated through numerical simulations. In contrast to the single layer model, the phase equation of the coupled system has a contribution coming from the dissipative part of the LLGS equation. It is shown that this is a major contribution to the frequency mandatory to describe well the most basic features of the dynamics of coupled systems. Using the proposed model a specific feature of coupled dynamics is addressed: the redshift to blueshift transition observed in the frequency current dependence of this kind of exchange coupled systems upon increasing the applied field. It is found that the blueshift regime can only occur in a region of field where the two linear eigenmodes contribute equally to the steady state mode (i.e. high mode hybridization). Finally, a general perturbed Hamiltonian equation for the coupled system is proposed.
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