Potts and percolation models on bowtie lattices.

@article{Ding2012PottsAP,
  title={Potts and percolation models on bowtie lattices.},
  author={Chengxiang Ding and Yan-cheng Wang and Yang Li},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={86 2 Pt 1},
  pages={
          021125
        }
}
We give the exact critical frontier of the Potts model on bowtie lattices. For the case of q = 1, the critical frontier yields the thresholds of bond percolation on these lattices, which are exactly consistent with the results given by Ziff et al. [J. Phys. A 39, 15083 (2006)]. For the q = 2 Potts model on a bowtie A lattice, the critical point is in agreement with that of the Ising model on this lattice, which has been exactly solved. Furthermore, we do extensive Monte Carlo simulations of the… 

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