# Topological phase transitions and holonomies in the dimer model

@article{Nash2008TopologicalPT, title={Topological phase transitions and holonomies in the dimer model}, author={Charles Nash and Denjoe O’Connor}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2008}, volume={42}, pages={012002} }

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…

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