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摘要翻译：
我们考虑了一个经典的相互作用二聚体模型，它通过调整对角键中的化学势在正方形和三角形晶格情况之间插值。相互作用能简单地对应于具有平行二聚体的板的数目。通过传输矩阵计算，我们发现在各向异性三角形情况下，随着相互作用强度的增加，会出现一系列不同的物理相：在低相互作用时出现短程无序的液体二聚体相，然后出现类似于正方形晶格的临界相，最后在大相互作用时过渡到有序的柱状相。临界相的存在与二聚体模型的临界性被归因于二分性的信念形成了对比。对于各向同性三角形情况，我们指出系统经历了一级相变到有序相，而不出现中间临界相。
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英文标题：
《Criticality of a classical dimer model on the triangular lattice》
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作者：
F. Trousselet, P. Pujol, F. Alet and D. Poilblanc
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
We consider a classical interacting dimer model which interpolates between the square lattice case and the triangular lattice case by tuning a chemical potential in the diagonal bonds. The interaction energy simply corresponds to the number of plaquettes with parallel dimers. Using transfer matrix calculations, we find in the anisotropic triangular case a succession of different physical phases as the interaction strength is increased: a short range disordered liquid dimer phase at low interactions, then a critical phase similar to the one found for the square lattice, and finally a transition to an ordered columnar phase for large interactions. The existence of the critical phase is in contrast with the belief that criticality for dimer models is ascribed to bipartiteness. For the isotropic triangular case, we have indications that the system undergoes a first order phase transition to an ordered phase, without appearance of an intermediate critical phase.
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PDF链接：
https://arxiv.org/pdf/705.455
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