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Macrospin description of the perpendicular polarizer-planar free-layer spin-torque oscillator

机译：垂直偏振器-平面自由层自旋转矩振荡器的宏旋描述

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For the "perpendicular polarizer-planar free layer" spin torque oscillator a complete current-field state diagram in the macrospin description is presented. This diagram is quite different from one of the more commonly known "planar polarizer-planar free layer" spin torque oscillators. In particular, various regions of bistability between two static states or a static and a dynamic state are evidenced in the current-field plane. The boundaries of the regions, where the static states become unstable, were deduced using a generalized ferromagnetic resonance formalism that requires only the knowledge of the second derivatives of the system energy for an arbitrary spin-polarization direction and field orientation. The dependence of the frequency as a function of current and bias field are described for the spin current induced steady-state oscillations as well as for the small amplitude damped oscillations around the static states. Finally, the results will be compared to recent experiments and the effect of temperature will be discussed.
机译：对于“垂直偏振器-平面自由层”自旋扭矩振荡器，在宏自旋描述中给出了完整的电流场状态图。该图与更普遍的“平面偏振器-平面自由层”自旋转矩振荡器之一不同。特别地，在电流场平面中证明了在两个静态或静态和动态状态之间的双稳态的各个区域。静态变得不稳定的区域的边界是使用广义的铁磁共振形式来推导的，该形式只需要知道系统能量的二阶导数对于任意的自旋极化方向和场方向即可。对于自旋电流引起的稳态振荡以及静态附近的小振幅阻尼振荡，描述了频率与电流和偏置场的关系。最后，将结果与最近的实验进行比较，并讨论温度的影响。

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