We construct a self-consistent approximation for calculating the magnetization and Curie temperature in the Ising model on an arbitrary lattice based on using the magnetization and pair correlation of nearest neighbors. We find the Curie temperatures for simple lattices in this approximation and generalize the approximation to the case of lattices diluted in lattice sites or bonds, for which we find the approximate values of the percolation thresholds.

中文翻译：

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纯磁体和稀磁体 Ising 模型中使用对相关的自洽近似

我们基于使用最近邻的磁化强度和对相关性，构建了一个自洽近似值，用于计算任意晶格上 Ising 模型中的磁化强度和居里温度。我们在这个近似中找到了简单晶格的居里温度，并将近似推广到在晶格位点或键中稀释的晶格的情况，为此我们找到了渗透阈值的近似值。