Abstract For the integration with other parts of spintronic devices, it is desired to minimize the size of skyrmions to a nanometer scale. To provide a theoretical guidance for this endeavour, we established an extended NdJ relationship between the skyrmion size and fundamental magnetic properties of two-dimensional hexagonal ferromagnetic lattices, including multiple exchanges between different neighbors (J1-J4), Dzyaloshinskii-Moriya interactions (d1 and d2) and on-site magnetic anisotropy energy. We demonstrated the applicability of this approach through density functional theory and spin spiral calculations for several interface, e.g., Co/Gra, Rh/Gra, Co/Pt3 and MgO/Co/Pt3, and showed that the size of Neel skyrmions can be effectively reduced by either enhancing d or more conveniently reducing J through cancelation of Jis.

中文翻译：

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扩展 NdJ 与六边形磁界面中 Néel skyrmions 的大小、多重交换和 Dzyaloshinskii-Moriya 相互作用的关系

摘要 为了与自旋电子器件的其他部分集成，需要将斯格明子的尺寸最小化到纳米级。为了为这项工作提供理论指导，我们在斯格明子尺寸与二维六方铁磁晶格的基本磁特性之间建立了扩展的 NdJ 关系，包括不同邻居之间的多次交换（J1-J4）、Dzyaloshinskii-Moriya 相互作用（d1 和d2) 和现场磁各向异性能量。我们通过密度泛函理论和多个界面的自旋螺旋计算证明了这种方法的适用性，例如 Co/Gra、Rh/Gra、Co/Pt3 和 MgO/Co/Pt3，并表明 Neel skyrmions 的大小可以有效地通过增强 d 或通过取消 Jis 更方便地减少 J 来减少。