Abstract The stability of the skyrmion magnetization configurations in ultrathin circular magnetic nanodots is calculated analytically and simulated micromagnetically considering realistic magnetic and geometrical dot parameters taken from recent experiments. The chiral Dzyaloshinskii-Moriya exchange interaction (DMI) is taken into account as an interfacial energy term. The diagram of single Neel skyrmion stability/metastability, skyrmion sizes and magnetization profiles are found as a function of the magnetic and geometrical dot parameters. It is shown that most of skyrmions are unstable or metastable and the stability region where the Neel skyrmion is the ground state is small. The Dzyaloshinskii criterion for the instability of ferromagnetic state in bulk ferromagnets with respect to the increasing DMI strength should be essentially modified to describe the stability of magnetic skyrmions in 2D systems like ultrathin ferromagnetic films and nanodots.

中文翻译：

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考虑 Dzyaloshinskii-Moriya 交换相互作用的超薄纳米点中的磁性斯格明子尺寸和稳定性

摘要 考虑到最近实验中的现实磁性和几何点参数，分析计算和微磁模拟超薄圆形磁性纳米点中斯格明子磁化配置的稳定性。手性 Dzyaloshinskii-Moriya 交换相互作用 (DMI) 被视为界面能项。单尼尔斯格明子稳定性/亚稳态、斯格明子尺寸和磁化分布图被发现是磁性和几何点参数的函数。结果表明，大多数斯格明子是不稳定或亚稳态的，尼尔斯格明子为基态的稳定区域很小。