Numerical methods for the modeling of the magnetization vector in multiferroic heterostructures
Numerical methods for the modeling of the magnetization vector in multiferroic heterostructures
复制标题
多铁异质结构中磁化矢量建模的数值方法
DOI：
10.1002/pamm.201710221
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
R. Müller
中科院分区：
文献类型：
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作者：
W. Dornisch;D. Schrade;J. Wolf;R. Müller
多铁性异质结构通常用于获得电磁耦合效应。因此，铁电层用于控制铁磁层中的磁化。层之间的耦合通过具有明确定义的界面的层之间的机械耦合来获得。在这方面的贡献，我们使用相场模型来定义在铁电和铁磁层的极化和磁化，分别。极化/磁化和应变之间的耦合与界面处的相干变形相结合，在整个异质结构内产生电磁耦合。用于极化矢量插值的数值公式在文献中定义良好。然而，建立一个一致的数值公式的铁磁层，其中的磁化矢量的长度必须是恒定的，仍然是一项艰巨的任务。我们提出了一种新的数值方法的一致性处理的铁磁层，并提供数值模拟，说明电磁耦合效应。（© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
Multiferroic heterostructures are commonly used to obtain electro‐magnetic coupling effects. Thereby, the ferroelectric layer is used to control the magnetization in the ferromagnetic layer. The coupling between the layers is obtained by the mechanical coupling between the layers, which have well‐defined interfaces. Within this contribution we use phase field models to define the polarization and magnetization in the ferroelectric and ferromagnetic layers, respectively. A coupling between polarization/magnetization and strains in each layer in combination with coherent deformations at the interface yields an electromagnetic coupling within the entire heterostructure. Numerical formulations for the interpolation of the polarization vector are well‐defined in the literature. However, the establishment of a consistent numerical formulation for the ferromagnetic layer, where the length of the magnetization vector has to be constant, remains a difficult task. We propose a new numerical approach for the consistent treatment of the ferromagnetic layer and provide numerical simulations which illustrate the electromagnetic coupling effect. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)