四阶微扰海森堡哈密顿描述的双自旋层FCC结构铁磁超薄膜
FCC structured ferromagnetic ultra-thin films with two spin layers described by fourth order perturbed Heisenberg Hamiltonian
摘要：
采用四阶微扰法研究了具有两个自旋层的面心立方结构铁磁薄膜的自旋方位角的微小变化。研究了两个自旋层中磁能和易磁化轴取向随四阶磁各向异性常数的变化。当顶自旋层的二阶磁各向异性常数大于底自旋层时，总磁能略高。在磁能与自旋方位角的二维图中出现了一些尖峰。根据3D曲线，磁能的峰值随着应力诱导各向异性常数的增加而逐渐减小，并且此后磁能的峰值随着应力诱导各向异性常数的增加而逐渐增大。磁性的易磁化方向和难磁化方向之间的夹角不是90度。顶层二阶磁各向异性常数较高的薄膜的易磁方向和难磁方向与顶层二阶磁各向异性常数较低的薄膜的易磁方向和难磁方向不同。当底层的二阶磁各向异性常数增加时，总磁能不变。
英文摘要：
Fourth order perturbation was applied to study a small variation of the azimuthal angle of spin of fcc structured ferromagnetic thin films with two spin layers. The variation of magnetic energy and the orientation of magnetic easy axis with the fourth order magnetic anisotropy constant in two spin layers was investigated. When the second order magnetic anisotropy constant at the top spin layer is higher than that of bottom spin layer, the total magnetic energy is slightly higher. Some spikes appeared in the 2D plot of of magnetic energy versus azimuthal angle of spin. According to the 3D plots, the peak value of the magnetic energy gradually decreases with the increase of the stress induced anisotropy constant, and thereafter the peak value of the magnetic energy gradually increases with the increase of the stress induced anisotropy constant. The angle between magnetic easy and hard directions was not 90 degrees. The magnetic easy and hard directions of the film with a higher second order magnetic anisotropy constant of top layer are different from the magnetic easy and hard directions of the film with a lower second order magnetic anisotropy constant of top layer. When the second order magnetic anisotropy constant of the bottom layer is increased, the total magnetic energy does not change.
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