反铁磁伊辛模型饱和场熵:阶梯和kagome晶格
Antiferromagnetic Ising model saturation field entropies: ladders and kagome lattice
摘要:
本文计算了准一维晶格(梯)和kagome晶格上反铁磁伊辛模型的饱和场熵。前者通过构造相应的传递矩阵来精确地评估,而后者的计算使用Binder算法,用于有效地和精确地计算超过1300个自旋的配分函数,以Boltzmann单位给出S = 0.393589(6)。我们评论的可果美晶格的自旋冰化合物镝钛氧化物的实验情况的关系。
英文摘要:
Saturation field entropies of antiferromagnetic Ising models on quasi one-dimensional lattices (ladders) and the kagome lattice are calculated. The former is evaluated exactly by constructing the corresponding transfer matrices, while the latter calculation uses Binder's algorithm for efficiently and exactly computing the partition function of over 1300 spins to give, in Boltzmann's units, S = 0.393589(6). We comment on the relation of the kagome lattice to the experimental situation in the spin-ice compound dysprosium titanium oxide.
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