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arXiv 1609.00841cond-mat.mes-hallmath-phmath.MPnlin.PS
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Dzyaloshinskiii-Moriya相互作用下铁磁元素的畴结构

Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction

Cyrill B. Muratov, Valeriy V. Slastikov

摘要:

纳米纤维的最新进展使得有可能产生由多层膜材料组成的多层纳米结构,其厚度低至几个原子单层,横向范围为几十纳米。在这些尺度下,铁磁材料开始表现出不寻常的性质,例如垂直磁晶各向异性和反对称交换,也称为Dzyaloshinskiii-Moriya相互作用(Dzyaloshinskii-Moriya interaction,简称DZ-M),因为界面效应的重要性增加。已经证明,表面微扰的存在从根本上改变了畴壁的结构。在这里,我们使用微磁建模框架来分析手性畴壁的存在和结构,被视为一个合适的微磁能能泛函的极小化。我们明确地构建在一维设置的极小,无论是内部和边缘的墙壁,为广泛的参数。然后我们使用{ $Γ$ }-收敛方法分析了在弱外加磁场存在下大空间范围样品中二维磁化模式的渐近性。

英文摘要:

Recent advances in nanofabrication make it possible to produce multilayer nanostructures composed of ultrathin film materials with thickness down to a few monolayers of atoms and lateral extent of several tens of nanometers. At these scales, ferromagnetic materials begin to exhibit unusual properties, such as perpendicular magnetocrystalline anisotropy and antisymmetric exchange, also referred to as Dzyaloshinskii-Moriya interaction (DMI), because of the increased importance of interfacial effects. The presence of surface DMI has been demonstrated to fundamentally alter the structure of domain walls. Here we use the micromagnetic modeling framework to analyse the existence and structure of chiral domain walls, viewed as minimizers of a suitable micromagnetic energy functional. We explicitly construct the minimizers in the one-dimensional setting, both for the interior and edge walls, for a broad range of parameters. We then use the methods of {$Γ$}-convergence to analyze the asymptotics of the two-dimensional mag- netization patterns in samples of large spatial extent in the presence of weak applied magnetic fields.

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