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首页> 外文期刊>Physical review >Spin glasses in a field: Three and four dimensions as seen from one space dimension
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Spin glasses in a field: Three and four dimensions as seen from one space dimension

机译：旋转眼镜在一个领域：从一个空间维度看，三个维度和四个维度

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摘要

We study the existence of a line of transitions of an Ising spin glass in a magnetic field-known as the de Almeida-Thouless line-using one-dimensional power-law diluted Ising spin-glass models. We choose the power-law exponent to have values that approximately correspond to three- and four-dimensional nearest-neighbor systems and perform a detailed finite-size scaling analysis of the data for large linear system sizes, using both a new approach proposed recently [Phys. Rev. Lett. 103, 267201 (2009)], as well as traditional approaches. Our results for the model corresponding to a three-dimensional system are consistent with there being no de Almeida-Thouless line, although the new finite-size scaling approach does not rule one out. For the model corresponding to four space dimensions, the new and traditional finite-size scaling analyses give conflicting results, indicating the need for a better understanding of finite-size scaling of spin glasses in a magnetic field.
机译：我们使用一维幂律稀释的Ising自旋玻璃模型研究了在磁场中被称为de Almeida-Thouless线的Ising自旋玻璃过渡线的存在。我们选择幂律指数，使其值近似对应于三维和四维最近邻系统，并使用最近提出的两种新方法对大型线性系统尺寸的数据执行详细的有限尺寸缩放分析。物理牧师103，267201（2009）]，以及传统方法。尽管没有采用新的有限尺寸缩放方法，但我们针对与三维系统相对应的模型的结果与没有de Almeida-Thouless线一致。对于与四个空间维度相对应的模型，新的和传统的有限尺寸缩放分析给出了相互矛盾的结果，这表明需要更好地了解磁场中旋转玻璃的有限尺寸缩放。

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