We study interskyrmion interactions and stable spin configurations in a two-dimensional chiral magnet, in particular, focusing on the effects of two in-plane anisotropies: a tilted magnetic field and the magnetocrystalline anisotropy on a (011) thin film. Using analytical and micromagnetic calculations with ignoring the dipole-dipole interactions, we find that a slight deformation of a skyrmion shape makes the interskyrmion interaction anisotropic and weakly attractive. Furthermore, when the magnetocrystalline anisotropy is comparable to the Zeeman energy, skyrmions embedded in a uniform magnetization are tightly bound by creating a magnetic domain between them. The formation of the magnetic domain, and thus the strength of the interskyrmion interaction, can be controlled by the direction of an external magnetic field. The anisotropic interaction also affects the skyrmion alignment in the skyrmion crystal (SkX) phase. By employing the Monte Carlo simulation and the Landau-Lifshitz-Gilbert equation, we obtain an elongated triangular SkX phase. In particular, in the presence of a strong magnetocrystalline anisotropy, magnetic domains appear in the background of the lattice structure. We also find a parameter region that the SkX phase is stabilized due to the interskyrmion attraction.

中文翻译：

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具有面内各向异性的二维手征磁体中可控的斯格明子间吸引力相互作用和由此产生的斯格明子-晶格结构

我们研究了二维手性磁体中的斯格明子间相互作用和稳定的自旋构型，特别是关注两个面内各向异性的影响：倾斜磁场和 (011) 薄膜上的磁晶各向异性。通过忽略偶极-偶极相互作用的解析和微磁计算，我们发现斯格明子形状的轻微变形使斯格明子间相互作用各向异性且吸引力较弱。此外，当磁晶各向异性与塞曼能量相当时，嵌入均匀磁化的斯格明子通过在它们之间创建磁畴而紧密结合。磁畴的形成以及由此产生的相互作用的强度可以通过外部磁场的方向来控制。各向异性相互作用也会影响斯格明子晶体 (SkX) 相中的斯格明子排列。通过采用蒙特卡罗模拟和 Landau-Lifshitz-Gilbert 方程，我们获得了细长的三角形 SkX 相位。特别是在存在强磁晶各向异性的情况下，磁畴出现在晶格结构的背景中。我们还发现了一个参数区域，SkX 相由于 interskyrmion 吸引力而稳定。