论文标题
在平方晶格上相互作用的双二聚体模型
Interacting double dimer model on the square lattice
论文作者
论文摘要
我们研究方形双二聚体模型的阶段和过渡，由经典二聚体模型的两个耦合复制品组成。就像在立方晶格上一样，我们发现从库仑相的热相跃迁，一种无序但相关的二聚体液体，到两个复制品的波动彼此紧密同步的相位。出人意料的是，与立方体情况相反，相位边界包括非相互作用点，因为我们使用基于对称性的有效高度理论的分析来建立，这表明无限耦合足以同步双二聚体模型。此外，当复制品之间的耦合是排斥的，并使用蒙特卡洛模拟建立完整的整个相图，包括（反）同步柱状和交错相，每个副本之间的相互作用之间的相互作用。
We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal phase transition from the Coulomb phase, a disordered but correlated dimer liquid, to a phase where fluctuations of the two replicas are closely synchronized with one another. Surprisingly, and in contrast to the cubic case, the phase boundary includes the noninteracting point, as we establish using a symmetry-based analysis of an effective height theory, indicating that infinitesimal coupling is sufficient to synchronize the double dimer model. In addition, we observe a novel antisynchronized phase when the coupling between replicas is repulsive, and use Monte Carlo simulations to establish the full phase diagram, including (anti)synchronized columnar and staggered phases, with interactions between parallel dimers in each replica.
