强垂直各向异性铁磁薄膜中的磁畴
Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy
摘要：
我们研究了具有强单轴各向异性且易磁化轴垂直于薄膜平面的铁磁薄膜的基态能量和最佳畴模式的标度。从完整的三维微磁模型出发，我们确定了从单畴过渡到多畴基态，如气泡或迷宫图案发生的临界缩放。此外，我们分析了能量的渐近行为，在两个制度分开的过渡。在单畴区，能量$Γ$ -收敛到一个更简单的二维和本地模型。在第二个政权，我们推导出的最小能量的标度，并推导出一个典型的域大小的标度律。
英文摘要：
We investigate the scaling of the ground state energy and optimal domain patterns in thin ferromagnetic films with strong uniaxial anisotropy and the easy axis perpendicular to the film plane. Starting from the full three-dimensional micromagnetic model, we identify the critical scaling where the transition from single domain to multidomain ground states such as bubble or maze patterns occurs. Furthermore, we analyze the asymptotic behavior of the energy in two regimes separated by a transition. In the single domain regime, the energy $Γ$-converges towards a much simpler two-dimensional and local model. In the second regime, we derive the scaling of the minimal energy and deduce a scaling law for the typical domain size.
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