A ground-state phase diagram for a three-layered Heisenberg ferromagnet with magnetic anisotropy and dipole-dipole interactions is inferred from a linear analysis of the fastest growing mode for the time-dependent Ginzburg-Landau equation. It is also investigated numerically by solving the Landau-Lifshitz equation for the model. The phase diagrams obtained from the two methods resemble each other. There is an in-plane ferromagnetic state, and states with out-of-plane stripe orders. Although the phase diagram is qualitatively similar to that for the corresponding two-dimensional model, the region of the in-plane ferromagnetic state shrinks considerably compared to that for the two-dimensional model.

中文翻译：

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具有偶极-偶极相互作用的层状铁磁体的基态

从具有时间各向异性的Ginzburg-Landau方程最快增长模式的线性分析中，可以得出具有磁性各向异性和偶极-偶极相互作用的三层海森堡铁磁体的基态相位图。还可以通过求解模型的Landau-Lifshitz方程进行数值研究。从这两种方法获得的相图彼此相似。存在平面内铁磁状态，并且具有平面外条带顺序的状态。尽管该相图在质量上与相应的二维模型相似，但是与二维模型相比，面内铁磁态的区域明显缩小。