Stacked triangular lattice: Percolation properties

@article{Schrenk2013StackedTL,
  title={Stacked triangular lattice: Percolation properties},
  author={K. Julian Schrenk and Nuno A. M. Ara{\'u}jo and Hans J{\"u}rgen Herrmann},
  journal={Physical Review E},
  year={2013},
  volume={87},
  pages={032123}
}
The stacked triangular lattice has the shape of a triangular prism. In spite of being considered frequently in solid-state physics and materials science, its percolation properties have received little attention. We investigate several nonuniversal percolation properties on this lattice using Monte Carlo simulation. We show that the percolation threshold is p(c)(bond) = 0.18602 +/- 0.00002 for bonds and p(c)(site) = 0.26240 +/- 0.00005 for sites. The number of clusters at the threshold per site… 

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SER and EBS acknowledge support from a CONFAP Newton grant. T.V. acknowledges support from the NSF under Grant No. DMR-1506152.

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