Magnetic Domains in Thin Ferromagnetic Films with Strong Perpendicular Anisotropy
Magnetic Domains in Thin Ferromagnetic Films with Strong Perpendicular Anisotropy
复制标题
DOI：
10.1007/s00205-018-1332-3
复制
发表时间：
2019-05-01
影响因子：
2.5
通讯作者：
Nolte, Florian
中科院分区：
文献类型：
--
作者：
Knuepfer, Hans;Muratov, Cyrill B.;Nolte, Florian
研究了单轴各向异性和易轴垂直于薄膜平面的铁磁性薄膜的基态能量标度和最优磁畴图案。从全三维微磁模型出发，我们确定了当薄膜厚度为零，横向扩展为无穷大时，发生从单磁区向多磁区基态(如气泡或迷宫图案)转变的临界尺度。此外，我们还分析了能量在这两个渐近区域中的渐近行为。在单域区域中，能量Gamma收敛到一个简单得多的二维局域模型。在多域情形下，我们导出了最小能量的标度，并推导出了典型域大小的标度律。
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 for which the transition from single domain to multidomain ground states such as bubble or maze patterns occurs as the film thickness goes to zero and the lateral extent goes to infinity. Furthermore, we analyze the asymptotic behavior of the energy in these two asymptotic regimes. In the single domain regime, the energy Gamma-converges towards a much simpler two-dimensional and local model. In the multidomain regime, we derive the scaling of the minimal energy and deduce a scaling law for the typical domain size.