Pocket Monte Carlo algorithm for classical doped dimer models
Pocket Monte Carlo algorithm for classical doped dimer models
复制标题
用于经典掺杂二聚体模型的袖珍蒙特卡罗算法
DOI：
10.1103/physrevb.67.064503
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发表时间：
2002
影响因子：
3.7
通讯作者：
R. Moessner
中科院分区：
文献类型：
--
作者：
W. Krauth;R. Moessner
用蒙特卡罗模拟方法研究了经典硬核二聚体模型中掺杂单体的关联。介绍了一种适用于任何维度、不同晶格和任意掺杂的高效聚类算法。我们将这个算法用于正方形晶格上的二聚体模型，其中有限密度的单体破坏了双单体问题的临界限制。这些单体形成位于其高温相的双组分等离子体，库仑相互作用在有限密度下被屏蔽。在三角形晶格上，一对单体不受限制。单体关联范围极短，且几乎不随掺杂而改变。
We study the correlations of classical hard-core dimer models doped with monomers by Monte Carlo simulation. We introduce an efficient cluster algorithm, which is applicable in any dimension, for different lattices and arbitrary doping. We use this algorithm for the dimer model on the square lattice, where a finite density of monomers destroys the critical confinement of the two-monomer problem. The monomers form a two-component plasma located in its high-temperature phase, with the Coulomb interaction screened at finite densities. On the triangular lattice, a single pair of monomers is not confined. The monomer correlations are extremely short ranged and hardly change with doping.