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arXiv 1002.4199cond-mat.mes-hall
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铁磁纳米元件的磁化模式作为复变量的函数

Magnetization patterns in ferromagnetic nano-elements as functions of complex variable

Konstantin L. Metlov

摘要:

假设软铁磁体的能量项,实现在足够小的平面纳米元素的某些层次结构,允许获得明确的表达式,其磁化强度分布。通过最小化的能量项顺序,从最重要的到最不重要的,磁化强度分布表示为复变函数的Riemann-Hilbert边值问题的解决方案。该表达式中仍然保留了一些自由参数,这些参数对应于涡和反涡的位置。这些参数可以通过计算和最小化粒子的总磁能而无需近似来找到。因此,所提出的方法是一个工厂的现实里兹函数的分析微磁计算。这些功能是如此通用,它们甚至可以自己找到应用程序(例如用于拟合磁性显微镜图像)。给出了圆柱体中多涡旋磁化强度分布和薄磁条中二维畴壁的例子。

英文摘要:

Assumption of certain hierarchy of soft ferromagnet energy terms, realized in small enough flat nano-elements, allows to obtain explicit expressions for their magnetization distributions. By minimising the energy terms sequentially, from most to the least important, magnetization distributions are expressed as solutions of Riemann-Hilbert boundary value problem for a function of complex variable. A number of free parameters, corresponding to positions of vortices and anti-vortices, still remain in the expression. These parameters can be found by computing and minimizing the total magnetic energy of the particle with no approximations. Thus, the presented approach is a factory of realistic Ritz functions for analytical micromagnetic calculations. These functions are so versatile, that they may even find applications on their own (e.g. for fitting magnetic microscopy images). Examples are given for multi-vortex magnetization distributions in circular cylinder, and for 2-dimensional domain walls in thin magnetic strips.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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