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arXiv 1111.3532cond-mat.mes-hall
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纳米磁性薄膜中的自旋波

Spin waves in nanosized magnetic films

L. V. Lutsev

摘要:

在考虑磁偶极子和交换作用的海森堡模型下,利用自旋算符图技术研究了纳米磁性薄膜中的自旋激发。得到了薄磁膜(二维磁单层和双层磁膜)中自旋波的色散关系和N层结构中的自旋波共振谱,对于厚磁膜,从第一性原理导出了广义Landau-Lifshitz方程。Landau-Lifshitz方程具有积分(拟微分)形式,但不具有微分形式。自旋激发由Landau-Lifshitz方程和静磁势方程的联立解确定。对于正常磁化的铁磁薄膜,在单圈近似下,用格林函数展开图计算了低温下自旋波的阻尼。在厚磁膜中,磁偶极相互作用对长波长自旋波的弛豫有重要贡献。薄膜具有长波长自旋波的低弛豫区域。在磁性薄膜中,四个自旋波过程发生,交换相互作用对阻尼起主要作用。结果表明,自旋波在磁性单层膜中传播的阻尼与温度的二次关系成正比,并且对于波矢较小的自旋波,阻尼很小。提出了基于纳米磁性薄膜的自旋波器件--微波频率范围内高质量的可调谐窄带自旋波滤波器和栅电极下含有纳米磁性薄膜的场效应晶体管(FET)结构。纳米磁性薄膜中的自旋波共振可用于构建工作在千兆赫和太赫兹频段的FET结构。

英文摘要:

We have studied spin excitations in nanosized magnetic films in the Heisenberg model with magnetic dipole and exchange interactions by the spin operator diagram technique. Dispersion relations of spin waves in thin magnetic films (in two-dimensional magnetic monolayers and in two-layer magnetic films) and the spin-wave resonance spectrum in N-layer structures are found. For thick magnetic films generalized Landau-Lifshitz equations are derived from first principles. Landau-Lifshitz equations have the integral (pseudodifferential) form, but not differential one. Spin excitations are determined by simultaneous solution of the Landau-Lifshitz equations and the equation for the magnetostatic potential. For normal magnetized ferromagnetic films the spin wave damping has been calculated in the one-loop approximation for a diagram expansion of the Green functions at low temperature. In thick magnetic films the magnetic dipole interaction makes a major contribution to the relaxation of long-wavelength spin waves. Thin films have a region of low relaxation of long-wavelength spin waves. In thin magnetic films four-spin-wave processes take place and the exchange interaction makes a major contribution to the damping. It is found that the damping of spin waves propagating in magnetic monolayer is proportional to the quadratic dependence on the temperature and is very low for spin waves with small wavevectors. Spin-wave devices on the base of nanosized magnetic films are proposed -- tunable narrow-band spin-wave filters with high quality at the microwave frequency range and field-effect transistor (FET) structures contained nanosized magnetic films under the gate electrode. Spin-wave resonances in nanosized magnetic films can be used to construct FET structures operating in Gigahertz and Terahertz frequency bands.

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