Bond percolation thresholds on Archimedean lattices from critical polynomial roots

  title={Bond percolation thresholds on Archimedean lattices from critical polynomial roots},
  author={Christian R Scullard and Jesper Lykke Jacobsen},
  journal={Physical Review Research},
We present percolation thresholds calculated numerically with the eigenvalue formulation of the method of critical polynomials; developed in the last few years, it has already proven to be orders of magnitude more accurate than traditional techniques. Here we report the result of large parallel calculations to produce what we believe may become the reference values of bond percolation thresholds on the Archimedean lattices for years to come. For example, for the kagome lattice we find $p_{\rm c… 

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