论文标题
Ginzburg-Landau型号的晶格解决方案用于手性磁铁
Lattice solutions in a Ginzburg-Landau model for a chiral magnet
论文作者
论文摘要
我们检查了由海森伯格交流，dzyaloshinskii-moriya相互作用，易于平面各向异性和热力学兰道潜能的竞争驱动的手性磁铁中的微磁性模式。基于模棱两可的分叉理论，我们证明存在从零磁化状态分支并研究其稳定性的晶格解决方案的存在。我们特别观察到了二次涡流 - 抗反应晶格构型的稳定和六边形天际晶格配置的不稳定性，我们通过数值研究来说明我们的发现。
We examine micromagnetic pattern formation in chiral magnets, driven by the competition of Heisenberg exchange, Dzyaloshinskii-Moriya interaction, easy-plane anisotropy and thermodynamic Landau potentials. Based on equivariant bifurcation theory we prove existence of lattice solutions branching off the zero magnetization state and investigate their stability. We observe in particular the stabilization of quadratic vortex-antivortex lattice configurations and instability of hexagonal skyrmion lattice configurations, and we illustrate our findings by numerical studies.
