Zhang Shufeng, Zhang Steven S-L
Department of Physics, University of Arizona, Tucson, Arizona 85721, USA.
Phys Rev Lett. 2009 Feb 27;102(8):086601. doi: 10.1103/PhysRevLett.102.086601. Epub 2009 Feb 25.
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.
我们提出了朗道 - 里夫希茨 - 吉尔伯特（LLG）方程的一种扩展，通过明确纳入传导电子在导电铁磁体磁化动力学中的作用。随时间和空间变化的磁化序参量m(r,t)会产生电电流和自旋电流，这些电流为正在处理的磁体的能量和角动量提供耗散。由此产生的LLG方程包含阻尼项的高度空间依赖性，因此对于涉及窄畴壁和短波长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审视。
