Phase transition of q-state clock models on heptagonal lattices.

  title={Phase transition of q-state clock models on heptagonal lattices.},
  author={Seung Ki Baek and Petter Minnhagen and Hiroyuki Shima and Beom Jun Kim},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={80 1 Pt 1},
We study the q-state clock models on heptagonal lattices assigned on a negatively curved surface. We show that the system exhibits three classes of equilibrium phases; in between ordered and disordered phases, an intermediate phase characterized by a diverging susceptibility with no magnetic order is observed at every q>or=2. The persistence of the third phase for all q is in contrast with the disappearance of the counterpart phase in a planar system for small q, which indicates the… 

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