Abstract

The effect of quenched non-magnetic impurities on phase transitions in low-dimensional Potts model structures is investigated by the Monte Carlo method using a cluster algorithm. Systems with linear dimensions of L = 20–160 and spin concentrations of p = 1.0, 0.9 are considered. Using the fourth-order Binder cumulant method and the histogram-data analysis method, the introduction of weak quenched disorder (p = 0.9) in the form of non-magnetic impurities is shown to change the order of the phase transition from the first to the second.

中文翻译：

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低维Potts模型中淬火的非磁性杂质对相变的影响

摘要

通过蒙特卡罗方法，使用聚类算法研究了淬灭的非磁性杂质对低维Potts模型结构中相变的影响。考虑线性尺寸为L = 20–160且自旋浓度为p = 1.0、0.9的系统。使用四阶Binder累积量方法和直方图数据分析方法，以非磁性杂质的形式引入弱淬灭无序（p = 0.9）被显示为改变了从第一相到第二相的相变顺序。第二。