Determination of the bond percolation threshold for the Kagome lattice

Details Determination of the bond percolation threshold for the Kagome lattice Determination of the bond percolation threshold for the Kagome lattice

1997-07-10

arxiv.org/abs/cond-mat/9707110v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, TeX, Style file iopppt.tex, to be published in J. Phys. A. in August, 1997

Scientific paper

10.1088/0305-4470/30/15/021

The hull-gradient method is used to determine the critical threshold for bond percolation on the two-dimensional Kagome lattice (and its dual, the dice lattice). For this system, the hull walk is represented as a self-avoiding trail, or mirror-model trajectory, on the (3,4,6,4)-Archimedean tiling lattice. The result pc = 0.524 405 3(3) (one standard deviation of error) is not consistent with the previously conjectured values.

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