Determination of the bond percolation threshold for the Kagomé lattice

The hull-gradient method is used to determine the critical threshold for bond percolation on the two-dimensional Kagomé 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 (one standard deviation of error) is not consistent with previously conjectured values.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/48835/2/a71510.pd