Generalization of the Landau-Lifshitz-Gilbert equation for conducting ferromagnets.
Generalization of the Landau-Lifshitz-Gilbert equation for conducting ferromagnets.
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DOI：
10.1103/physrevlett.102.086601
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发表时间：
2009-02
影响因子：
8.6
通讯作者：
Shufeng Zhang;S. L. Zhang
中科院分区：
文献类型：
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作者：
Shufeng Zhang;S. L. Zhang
通过明确地包括导电电子在导电铁磁体磁化动力学中的作用，我们提出了Landau-Lifshitz-Gilbert （LLG）方程的扩展。时空相关的磁化序参数m（r,t）产生电流和自旋电流，提供加工磁体的能量和角动量的耗散。所得的LLG方程包含了阻尼项的高度空间依赖性，因此，对于窄畴壁和短波自旋波的磁化动力学，基于标准LLG方程的微磁模拟应该重新进行验证。
We propose an extension of the Landau-Lifshitz-Gilbert (LLG) equation by explicitly including the role of conduction electrons in magnetization dynamics of conducting ferromagnets. The temporal and spatial dependent magnetization order parameter m(r,t) generates both electrical and spin currents that provide dissipation of the energy and angular momentum of the processing magnet. The resulting LLG equation contains highly spatial dependence of damping term and thus micromagnetic simulations based on the standard LLG equation should be reexamined for magnetization dynamics involving narrow domain walls and spin waves with short wavelengths.