Department of Physics, Tokyo Metropolitan University, Tokyo, Japan.
Phys Rev Lett. 2011 Jun 3;106(22):227204. doi: 10.1103/PhysRevLett.106.227204.
We study a monomer-dimer mixture defined on a honeycomb lattice as a toy model for the spin-ice system in a magnetic field. In a low-doping region of monomers, the effective description of this system is given by the dual sine-Gordon model. In intermediate- and strong-doping regions, the Potts lattice gas theory can be employed. Synthesizing these results, we construct a renormalization-group flow diagram, which includes the stable and unstable fixed points corresponding to M5 and M6 in the minimal models of the conformal field theory. We perform numerical transfer-matrix calculations to determine a global phase diagram and also to proffer evidence to check our prediction.
我们研究了一个定义在蜂巢晶格上的单体-二聚体混合物，作为磁场中自旋冰系统的玩具模型。在单体的低掺杂区域，该系统的有效描述由对偶正弦-戈登模型给出。在中等和强掺杂区域，可以采用 Potts 格气理论。综合这些结果，我们构建了一个重整化群流图，其中包括与共形场论的最小模型中的 M5 和 M6 对应的稳定和不稳定固定点。我们进行数值转移矩阵计算，以确定全局相图，并提供证据来检验我们的预测。
