Abstract A numerical study of the ground state of a two-layer ferromagnetic bounded film is carried out. The film layers have uniaxial anisotropy easy-plane and easy-axis. All calculations were carried out for films with parameters of ferrites-garnets – Materials that admit a magnetoelectric effect. The ground state was calculated using a three-dimensional micromagnet modeling package OOMMF for rectangular films of different sizes. It was shown that in a film, along with a homogeneous ground state, the vortex distribution of the magnetization is realized. For the vortex distribution, the electric polarization is calculated. It was found that the component of the electric polarization vector of the film perpendicular to the film plane is nonzero. This is due to the presence of the vortex core. The change in the electric polarization due to magnetic reversal of the film by an external magnetic field is studied. It is shown that as the field increases, the polarization modulus also increases to certain field values, and then decreases to zero. As the transverse dimensions of the film decrease, the magnitude of the maximum of the electric polarization increases.

中文翻译：

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两层有界铁磁薄膜中的电极化

摘要 对两层铁磁有界薄膜的基态进行了数值研究。薄膜层具有单轴各向异性易平面和易轴。所有计算均针对具有铁氧体-石榴石参数的薄膜进行 - 允许磁电效应的材料。对于不同尺寸的矩形薄膜，使用三维微磁体建模包 OOMMF 计算基态。结果表明，在薄膜中，随着均匀基态，磁化的涡旋分布得以实现。对于涡流分布，计算电极化。发现垂直于薄膜平面的薄膜的电极化矢量的分量是非零的。这是由于涡核的存在。研究了由于外部磁场对薄膜的磁反转引起的电极化变化。结果表明，随着场的增加，极化模量也增加到一定的场值，然后减小到零。随着薄膜横向尺寸的减小，电极化最大值的幅度增加。