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Determination of the bond percolation threshold for the Kagome lattice

Robert M. Ziff·Paul N. Suding
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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.

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Robert M. Ziff, Paul N. Suding. 1997-07-10. Determination of the bond percolation threshold for the Kagome lattice. https://doi.org/10.1088/0305-4470%2F30%2F15%2F021

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