Edge Domain Walls in Ultrathin Exchange-Biased Films

Edge Domain Walls in Ultrathin Exchange-Biased Films
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超薄交换偏压薄膜中的边缘畴壁

DOI:
10.1007/s00332-019-09604-w
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发表时间:
2020
影响因子:
3
通讯作者:
Slastikov, Valeriy V.
Slastikov, Valeriy V.
中科院分区:
数学2区
文献类型:
--
作者:
Lund, Ross G.;Muratov, Cyrill B.;Slastikov, Valeriy V.

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我们提出了一个分析的边缘畴壁交换偏置铁磁薄膜出现的结果之间的竞争的杂散场在膜边缘和交换偏置场在散装。我们引入了一个有效的二维微磁能,管理交换偏置材料的磁化行为,并研究其能量最小化的带状几何形状。在一个周期性的设置,我们提供了一个完整的表征对应的边缘域壁的全球能源极小。特别是,我们表明,能量极小是一维的,不表现出绕组。然后,我们考虑一个特定的薄膜制度为大样本和相对较强的交换偏置,并推导出一个简单而全面的代数模型描述的极限磁化行为在内部和边界的样品。最后,我们证明了在有限矩形样本的情况下,在周期设置中得到的渐近结果仍然是真的。
We present an analysis of edge domain walls in exchange-biased ferromagnetic films appearing as a result of a competition between the stray field at the film edges and the exchange bias field in the bulk. We introduce an effective two-dimensional micromagnetic energy that governs the magnetization behavior in exchange-biased materials and investigate its energy minimizers in the strip geometry. In a periodic setting, we provide a complete characterization of global energy minimizers corresponding to edge domain walls. In particular, we show that energy minimizers are one-dimensional and do not exhibit winding. We then consider a particular thin-film regime for large samples and relatively strong exchange bias and derive a simple and comprehensive algebraic model describing the limiting magnetization behavior in the interior and at the boundary of the sample. Finally, we demonstrate that the asymptotic results obtained in the periodic setting remain true in the case of finite rectangular samples.
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