二聚体模型中的拓扑相变和完整性
Topological Phase Transitions and Holonomies in the Dimer Model
摘要：
我们证明了定义在环形六角晶格上的经典二聚体模型在热力学极限下具有完整相。当所有的活动是平等的晶格尺寸必须考虑模6在这种情况下，有限大小的修正散装配分函数对应于一个无质量的狄拉克费米子在存在一个平坦的连接与非平凡的完整性。对于一般的键活动，我们发现在这个模型中的相变是一个拓扑的，在那里的环面退化和它的模参数成为真正的临界温度。我们认为，这些功能是通用的二分二聚体模型，我们提出了一个更一般的晶格的连续配分函数是一个大规模的狄拉克费米子。
英文摘要：
We demonstrate that the classical dimer model defined on a toroidal hexagonal lattice acquires holonomy phases in the thermodynamic limit. When all activities are equal the lattice sizes must be considered mod 6 in which case the finite size corrections to the bulk partition function correspond to a massless Dirac Fermion in the presence of a flat connection with nontrivial holonomy. For general bond activities we find that the phase transition in this model is a topological one, where the torus degenerates and its modular parameter becomes real at the critical temperature. We argue that these features are generic to bipartite dimer models and we present a more general lattice whose continuum partition function is that of a massive Dirac Fermion.
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