论文标题
与边界涡流有关
The micromagnetic energy with Dzyaloshinskii-Moriya interaction in a thin-film regime relevant for boundary vortices
论文作者
论文摘要
我们考虑了薄膜状态下与dzyaloshinskii-moriya相互作用的三维微磁模型。我们证明了在被考虑的状态下微磁能的伽马连接性,为此,伽玛限制能量是二维的,并且与边界涡流有关。然后,我们研究了伽马至限制能量的局部最小化器,并证明在某种程度上证明了唯一性。
We consider the three-dimensional micromagnetic model with Dzyaloshinskii-Moriya interaction in a thin-film regime. We prove the Gamma-convergence of the micromagnetic energy in the considered regime, for which the Gamma-limit energy is two-dimensional and relevant for boundary vortices. We then study local minimizers of the Gamma-limit energy and prove a uniqueness result in a certain setting.