Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Spin-Transfer Torque

Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Spin-Transfer Torque
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具有自旋转移扭矩的 Landau-Lifshitz-Gilbert 方程的涡旋运动

DOI:
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发表时间:
2011
影响因子:
2
通讯作者:
R. Moser
R. Moser
中科院分区:
数学2区
文献类型:
--
作者:
Matthias W. Kurzke;C. Melcher;R. Moser

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我们研究了磁涡系统动力学的Landau-Lifshitz-Gilbert方程。我们考虑了外加自旋电流的自旋扭矩效应,并且严格地推导出了涡旋的运动方程(“泰尔方程”),如果电流不是太大的话。我们的证明方法强烈地利用问题的几何来获得必要的能量估计。
We study the Landau–Lifshitz–Gilbert equation for the dynamics of a magnetic vortex system. We include the spin-torque effects of an applied spin current, and we rigorously derive an equation of motion (“Thiele equation”) for vortices if the current is not too large. Our method of proof strongly utilizes the geometry of the problem in order to obtain the necessary energy estimates.