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Bridging the gap between discrete and continuous magnetic models in the scaling approach

机译：缩小缩放模型中离散和连续磁性模型之间的差距

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摘要

The scaling technique, often used to study magnetic properties of nanostructures, is based on a reduction in the geometrical lengths of the system via a scaling factor x and a scaling exponent η [Phys. Rev. Lett. 88, 237202 (2002)]. At the same time, to keep competition among the energy terms involved, the exchange constant J is reduced throughout the system in accordance with the scaling factor x. Different values for the scaling exponent r) have been used in several studies, and the discussion of whether there is just one or several values is resolved here. In this study we revise the scaling method and propose a different approach than the above. In this generalized approach, the scaling scheme is applied to the energy term as a whole, instead of only to the exchange coupling J. We apply this proposed methodology to typical iron cylindrical samples and find that the application of the scaling technique to systems in the mesoscopic range does not depend on the selection of the value of a scaling exponent. We show that this generalized approach gives the same results when it is applied under both discrete and continuous frameworks, and, therefore, it represents a solution for this pending issue.
机译：通常用于研究纳米结构的磁性的定标技术基于通过定标因子x和定标指数η减小系统几何长度的方法。牧师88，237202（2002）]。同时，为了保持所涉及的能量项之间的竞争，根据比例因子x在整个系统中减小交换常数J。在几项研究中使用了不同的缩放指数r）值，并且在此解决了关于仅存在一个还是多个值的讨论。在这项研究中，我们修改了缩放方法，并提出了与上述方法不同的方法。在这种通用方法中，将缩放方案应用于整个能量项，而不是仅应用于交换耦合J。我们将此提议的方法应用于典型的铁质圆柱体样本，并发现缩放技术在系统中的应用介观范围不取决于缩放指数值的选择。我们表明，当在离散和连续框架下应用此通用方法时，它都能得到相同的结果，因此，它代表了此未决问题的解决方案。

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  • 来源
    《Physical review》 |2015年第13期|134418.1-134418.7|共7页
  • 作者

    E. A. Velasquez; J. Mazo-Zuluaga; P. Vargas; J. Mejia-Lopez;

  • 作者单位

    Facultad de Fisica, Pontificia Universidad Catolica de Chile, Santiago, Chile ,Grupo de Investigacion en Modelamiento y Simulacion Computational, Universidad de San Buenaventura Sectional Medellin, Medellin, Colombia;

    Grupo de Estado Solido, IF-FCEN, Universidad de Antioquia UdeA, Calle 70 No. 52-21 Medellin, Colombia;

    Departamento de Fisica, Universidad Tecnica Federico Santa Maria, Valparaiso, Chile ,Center for the Development of Nanoscience and Nanotechnology, CEDENNA, Santiago, Chile;

    Facultad de Fisica, Pontificia Universidad Catolica de Chile, Santiago, Chile ,Center for the Development of Nanoscience and Nanotechnology, CEDENNA, Santiago, Chile;

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  • 正文语种 eng
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  • 关键词

    domain effects, magnetization curves, and hysteresis; general theory and models of magnetic ordering;

    机译：磁畴效应;磁化曲线和磁滞;电磁订购的一般理论和模型;

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