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首页> 外文期刊>Georgian Electronic Scientific Journals: Physics >THIRD ORDER PERTURBED HEISENBERG HAMILTONIAN OF SC FERROMAGNETIC FILMS WITH FIFTY SPIN LAYERS
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THIRD ORDER PERTURBED HEISENBERG HAMILTONIAN OF SC FERROMAGNETIC FILMS WITH FIFTY SPIN LAYERS

机译：具有五十个自旋层的SC铁磁薄膜的三阶摄动Heisenberg哈密顿量

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摘要

Magnetic energy of simple cubic structured ferromagnetic films with 10 to 50 spin layers was determined using third order perturbed Heisenberg Hamiltonian. By plotting 3-D plot of energy versus angle and stress induced anisotropy, the values of stress induced anisotropy corresponding to energy minimums and maximums were determined. By plotting the graphs of energy versus angle at these different stress induced anisotropy values, the easy and hard directions were determined. Magnetic easy and hard directions are related to energy minimums and maximums of the curve. Similar graphs were plotted for spin exchange interaction to determine the easy and hard directions. Graphs of energy versus angle were plotted by keeping all the magnetic energy parameters at constant values for each number of spin layers to determine the variation of magnetic easy directions, hard direction and corresponding energies with the number of spin layers. The magnetic easy axis gradually rotates from out of plane to in plane direction as the number of spin layers is increased. In addition, the magnetic anisotropy energy increases with the number of spin layers.
机译：使用三阶扰动的海森堡哈密顿量确定具有10至50个自旋层的简单立方结构铁磁膜的磁能。通过绘制能量对角度和应力引起的各向异性的3-D图，可以确定对应于能量最小值和最大值的应力引起的各向异性的值。通过绘制在这些不同的应力引起的各向异性值下的能量与角度的关系图，可以确定容易的方向和困难的方向。磁性的易方向和硬方向与曲线的最小能量和最大能量有关。绘制相似的图用于自旋交换相互作用，以确定容易和困难的方向。通过将每层自旋层的所有磁能参数保持为恒定值来绘制能量与角度的关系图，以确定随旋转层数的易磁化方向，硬质方向和相应能量的变化。随着自旋层数的增加，易磁化轴从平面外逐渐旋转到平面方向。另外，磁各向异性能随自旋层数的增加而增加。

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