期刊
PHYSICAL REVIEW LETTERS
卷 102, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.086601
关键词
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资金
- U. S. DOE [DE- FG02-06ER46307]
- NSF [DMR-0704182]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [0854641] Funding Source: National Science Foundation
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.
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