论文标题
有限含量扩展二聚体模型中相变的演变
Evolution of phase transition in the finite-fugacity extended dimer model
论文作者
论文摘要
我们研究了经典完全紧凑的二聚体模型在有限温度下具有第二个键的两部分平方晶格上的相变的演变。我们将数字蒙特卡洛法与有向环算法模拟模型。我们的结果表明,相变的顺序取决于第二个最近键的延期。我们发现,相变从kosterlitz- thoulless跃迁到非常规的高阶相变,这些过渡具有属性kosterliz-thouless Transition的共存和同时的一阶相变。随着逃避性的进一步增加,相变成一阶相变。此外,我们计算出的二聚体二聚体相关函数及其相应的结构因子函数的结果显示了不同散发性的衰减相关性的演变。
We investigate the evolution of phase transition of the classical fully compact dimer model on the bipartite square lattice with second nearest bonds at finite temperatures. We use the numeric Monte Carlo method with the directed-loop algorithm to simulate the model. Our results show that the order of the phase transition depends on the fugacity of the second nearest bonds. We find that the phase transition reduces from the Kosterlitz-Thouless transition to unconventional high-order phase transitions which feature the coexistence of properties Kosterliz-Thouless transition and the first-order phases transition simultaneously. As the fugacity increases further, phase transition evolves to the first-order phase transition. In addition, our results of dimer-dimer correlation functions and their corresponding structure factor functions computed by us show the evolution of decay correlation for different fugacity.