Determination of the bond percolation threshold for the Kagome lattice

Abstract

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.

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

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