标题： 磁层间通过层间Dzyaloshinskii-Moriya相互作用耦合的磁双层的边界条件和铁磁共振谱 显示英文标题

标题： Boundary conditions for and ferromagnetic resonance spectra of magnetic bilayers coupled by interlayer Dzyaloshinskii-Moriya interactions

摘要： 界面Dzyaloshinskii-Moriya相互作用（IF-DMI）导致多层异质结构磁层内的非共线自旋构型，而其层间对应物（IL-DMI）则最小化层间的手性状态。 在这里，我们证明了这些相互作用的对称性非常不同，尽管它们都来源于通过非磁性原子介导的磁性位点之间的成对交换相互作用。 通过推导交换算符的新边界条件并求解相关的边界值问题，我们表明，与IF-DMI不同，后者不对FMR频率产生贡献，IL-DMI会改变基本FMR模式的频率，并可以在FMR实验中与其他贡献分离。 显示英文摘要

摘要： Interfacial Dzyaloshinskii-Moriya interaction (IF-DMI) leads to non-collinear spin configurations within the magnetic layers of multilayer heterostructures, while its interlayer counterpart (IL-DMI) minimizes chiral states between the layers. Here, we demonstrate that the symmetries of these interactions are very different, even though both arise from pairwise exchange interactions between magnetic sites mediated by nonmagnetic atoms. By deriving new boundary conditions for the exchange operator and solving the associated boundary value problem, we show that, unlike IF-DMI, which does not contribute to the FMR frequencies, IL-DMI alters the frequencies of the fundamental FMR modes and can be separated from other contributions in an FMR experiment.