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}
}
  • C. NashD. O’Connor
  • Published 17 September 2008
  • Physics
  • Journal of Physics A: Mathematical and Theoretical
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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