Percolation transitions in two dimensions.

@article{Feng2008PercolationTI,
  title={Percolation transitions in two dimensions.},
  author={Xiaomei Feng and Youjin Deng and Henk W. J. Bl{\"o}te},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2008},
  volume={78 3 Pt 1},
  pages={
          031136
        }
}
We investigate bond- and site-percolation models on several two-dimensional lattices numerically, by means of transfer-matrix calculations and Monte Carlo simulations. The lattices include the square, triangular, honeycomb kagome, and diced lattices with nearest-neighbor bonds, and the square lattice with nearest- and next-nearest-neighbor bonds. Results are presented for the bond-percolation thresholds of the kagome and diced lattices, and the site-percolation thresholds of the square… 

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