Magneto-optic Kerr effect in Gd20Co80 alloy

V. G. Kudin, S. Rozouvan, V. S. Staschuk
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Abstract

The magneto-optical Kerr effect in Gd20Co80 alloy and cobalt thin films has been studied in a broad spectral range applying spectral ellipsometry experimental technique. The results of the experiments showed the complex nature of the complex Kerr angle dispersion curves. A quantum mechanical formalism for degenerate and non-degenerate Landau levels for quasi-free electrons in ferromagnetic material has been developed in order to analyze the experimental data. The equivalence of relations for off-diagonal dielectric tensor elements for non-degenerate Landau levels to the classical case of the motion of quasi-free electrons along circular trajectories in a magnetic field has been theoretically shown. The degenerate Landau levels in this approach are the result of motion of electrons in small confined volumes near rare-earth alloy atoms. Rotation of light polarization occurs in this case due to transitions between subbands having different magnetic quantum numbers. This theoretical approach allowed us to interpret in detail shapes and sign of the complex Kerr angle dispersion curves, which actually include the contributions of optical transitions between degenerate and non-degenerate energy levels. The complex Kerr angle sign is determined by the magnetization magnetic field direction for non-degenerate Landau levels and the Hund rule for degenerate Landau levels.
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Gd20Co80合金的磁光Kerr效应
应用光谱椭偏实验技术,在宽光谱范围内研究了Gd20Co80合金和钴薄膜中的磁光克尔效应。实验结果表明了复克尔角色散曲线的复杂性。为了分析铁磁材料中准自由电子的简并朗道能级和非简并朗道能级的量子力学形式。从理论上证明了非简并朗道能级的非对角介电张量元与准自由电子在磁场中沿圆形轨迹运动的经典情况的等价关系。这种方法中的简并朗道能级是电子在稀土合金原子附近的小限制体积内运动的结果。在这种情况下,由于具有不同磁量子数的子带之间的跃迁,光偏振发生旋转。这种理论方法使我们能够详细解释复杂克尔角色散曲线的形状和符号,这实际上包括了简并能级和非简并能级之间的光学跃迁的贡献。复克尔角符号由非简并朗道能级的磁化磁场方向和简并朗道能级的亨德规则决定。
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