磁振子是自旋波的量子，利用磁振子代替电子传递信息，不存在电子散射，有利于设计低能耗的器件，并且能够在磁性绝缘体中实现。磁性多层膜体系能够调控磁振子输运，具有丰富的应用特性，因此具有重要的研究意义，而体系中稳定的磁矩结构是实现其应用的基础。

      本文探究了磁振子耦合对三层膜体系中磁矩稳定结构的影响。第一层与第三层膜的磁矩位于面内，第二层膜的磁矩始终垂直于薄膜平面。在二维正方反铁磁晶格模型中，存在第一层与第三层的磁矩平行或垂直两种构型。在垂直构型中，磁振子只能耦合两层膜，整体能量降低，成为磁矩稳定结构。两种构型由于磁振子耦合不同带来的能量差会随过渡层厚度的增加而减小。同时，我们也考虑了另外一种晶格体系α-Fe2O3/Cr2O3/α-Fe2O3，它存在第一层与第三层磁矩平行或成120°夹角两种磁构型，当考虑过渡层由3层Cr2O3原胞组成时，由于过渡层较厚，两种磁结构的能量没有明显差别。我们还进一步考虑了界面型Dzyaloshinskii–Moriya相互作用对多层膜中磁振子耦合的影响。

      Magnon, quanta of spin wave, which is expected to replace electron and can transport information in magnetic insulating materials without electron scattering, is beneficial to design low energy consumption devices. The magnetic multilayer films have important research significance, which can control the magnon transport and have rich application characteristics. The stable magnetic configuration in the system is the basis of application.  

      In the present work, we explore how the magnon coupling affects the stable magnetization structure in three-layer magnetic film system. The magnetizations of the first and third layers are in-plane, whereas in the second layer it is always perpendicular to the film. In two-dimensional antiferromagnetic square lattice, there are two possible magnetization structures, between the first and the third layers, which are parallel or perpendicular to each other. In perpendicular situation, the magnon can only couple two film layers, the energy of the system decreases and the magnetization is stabilized. The energy difference between the two configurations caused by the magnon coupling decreases with the increase of the transition layer thickness. Meanwhile, we consider another magnetic system, α-Fe2O3/Cr2O3/α-Fe2O3, and the magnetization in the first layer and the third layer are parallel or with an angle of 120°. The energies of two structures do not have significant differences when the transition film have 3 layers of Cr2O3 primitive cell. Furthermore, We investigate the effect of interfacial Dzyaloshinskii–Moriya interaction on multilayer coupling.