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Current driven dynamics of domain walls constrained in ferromagnetic nanopillars

机译：受铁磁纳米柱约束的畴壁的电流驱动动力学

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We investigate the effects of an electric current on the domain wall formed inside a cylindrical ferromagnetic nanopillar as a consequence of the pinning of the magnetization at its ends. We first present the results of three-dimensional and one-dimensional micromagnetic simulations and show that the system approaches a stationary equilibrium, where the domain wall is compressed in the direction of the electron flow and rotates around the nanopillar axis with constant frequency in the microwave frequency range. We obtain the dependence of the rotation frequency on the length of the nanopillar and on the magnitude of the applied current density. We then introduce a one-dimensional analytical model and find a formula for the rotation frequency in two current regimes: a low current regime, where the frequency is linearly proportional to the current density and a high current regime, where the frequency is quadratically proportional to the current density. Good agreement is found with the results of the simulations. The system may have possible applications as a nanosized microwave generator, which could operate without external magnetic fields and whose emission frequency could be controlled by a dc current.
机译：我们研究了电流对圆柱形铁磁纳米柱内部形成的畴壁的影响，这是由于磁化在其端部钉扎的结果。我们首先给出三维和一维微磁模拟的结果，并表明该系统趋于平稳平衡，其中畴壁在电子流的方向上被压缩，并在微波中以恒定频率绕纳米柱轴旋转。频率范围。我们获得了旋转频率对纳米柱长度和所施加电流密度大小的依赖性。然后，我们引入一维分析模型，并找到两种电流状态下旋转频率的公式：低电流状态（频率与电流密度成线性比例）和高电流状态（频率与电流密度成正比）当前的密度。发现与仿真结果一致。该系统可以作为纳米级微波发生器应用，可以在没有外部磁场的情况下运行，并且其发射频率可以由直流电流控制。

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