Analytical investigation of modulated spin-torque oscillators in the framework of coupled differential equations with variable coefficients

Ezio Iacocca; Johan Akerman

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Analytical investigation of modulated spin-torque oscillators in the framework of coupled differential equations with variable coefficients

机译：变系数耦合微分方程框架下的调制自旋转矩振荡器的解析研究

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Modulation of spin torque oscillators (STOs) is investigated by analytically solving the time-dependent coupled equations of an auto-oscillator. A Fourier-series solution is proposed, leading to the coefficients being determined with a linear set of equations, from which a nonlinear amplitude and frequency modulation (NFAM) scheme is obtained. In this framework, the NFAM features are related to the intrinsic STO parameters, revealing a frequency dependence of the harmonic-dependent modulation index that allows a modulation bandwidth to be defined for these devices. The presented results expose a rich parameter space, where the modulation and the STO's operation conditions define the observed modulation features. The Fourier-series representation of the time signal is suitable for studying periodic perturbations on the auto-oscillator equation.

机译：通过分析求解自动振荡器的时间相关耦合方程，研究了自旋扭矩振荡器（STO）的调制。提出了一种傅立叶级数解，从而通过线性方程组确定系数，从而获得非线性幅度和频率调制（NFAM）方案。在此框架中，NFAM功能与固有STO参数相关，揭示了谐波相关调制指数的频率相关性，从而可以为这些设备定义调制带宽。给出的结果揭示了丰富的参数空间，其中调制和STO的操作条件定义了观察到的调制特征。时间信号的傅立叶级数表示适合研究自动振荡器方程的周期性扰动。

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来源
《Physical review》 |2012年第18期|p.184420.1-184420.7|共7页
作者
Ezio Iacocca; Johan Akerman;
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作者单位

Physics Department, University of Gothenburg, 412 96 Gothenburg, Sweden;

Physics Department, University of Gothenburg, 412 96 Gothenburg, Sweden,Department of Microelectronics and Applied Physics, Royal Institute of Technology, Electrum 229, 164 40 Kista, Sweden;

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正文语种 eng
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magnetoelectronics; spintronics: devices exploiting spin polarized transport or integrated magnetic fields; oscillators, pulse generators, and function generators;

机译：磁电子学自旋电子学：利用自旋极化传输或集成磁场的设备;振荡器;脉冲发生器和函数发生器;

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Analytical investigation of modulated spin-torque oscillators in the framework of coupled differential equations with variable coefficients

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