arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1704.03076cond-mat.mes-hallcond-mat.mtrl-sci
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纳米接触自旋力矩振荡器中的可调谐模式耦合

Tunable mode coupling in nano-contact spin torque oscillators

Steven S. -L. Zhang, Ezio Iacocca, Olle Heinonen

摘要:

最近的自旋力矩振荡器的实验已经揭示了多个磁动力学模式之间的相互作用,包括模式共存,模式跳跃,和温度驱动的模式之间的交叉。初始多模理论已经表明,由子动力系统与磁振子浴的相互作用产生的几个主导模式之间的线性耦合在各种多模行为的产生中起着至关重要的作用,例如模式跳跃和模式共存。在这项工作中,我们推导出一组速率方程来描述纳米接触自旋扭矩振荡器中耦合的磁动力学模式的动力学。得到了线性和非线性耦合项的表达式,从而分析了模式耦合动力学行为对外部实验条件和内禀磁性的依赖关系。对于最小双模系统,我们进一步将两个模的能量和相位差映射到二维相空间,并在相图中展示了周期轨道和不动点的流形如何随外部磁场以及温度的变化。

英文摘要:

Recent experiments on spin torque oscillators have revealed interactions between multiple magnetodynamic modes, including mode-coexistence, mode-hopping, and temperature-driven cross-over between modes. Initial multimode theory has indicated that a linear coupling between several dominant modes, arising from the interaction of the subdynamic system with a magnon bath, plays an essential role in the generation of various multimode behaviors, such as mode hopping and mode coexistence. In this work, we derive a set of rate equations to describe the dynamics of coupled magnetodynamic modes in a nano-contact spin torque oscillator. Expressions for both linear and nonlinear coupling terms are obtained, which allow us to analyze the dependence of the coupled dynamic behaviors of modes on external experimental conditions as well as intrinsic magnetic properties. For a minimal two-mode system, we further map the energy and phase difference of the two modes onto a two-dimensional phase space, and demonstrate in the phase portraits, how the manifolds of periodic orbits and fixed points vary with external magnetic field as well as with temperature.

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