title: Honeycomb lattices with defects.
abstract: In this paper, we introduce a variant of the honeycomb lattice in which we create defects by randomly exchanging adjacent bonds, producing a random tiling with a distribution of polygon edges. We study the percolation properties on these lattices as a function of the number of exchanged bonds using an alternative computational method. We find the site and bond percolation thresholds are consistent with other three-coordinated lattices with the same standard deviation in the degree distribution of the dual; here we can produce a continuum of lattices with a range of standard deviations in the distribution. These lattices should be useful for modeling other properties of random systems as well as percolation.
authors.affiliation: Department of Physics, University of Michigan, Ann Arbor, Michigan 48104, USA.
authors.forename: Meryl A
authors.initials: MA
authors.lastname: Spencer
authors.affiliation: Center for the Study of Complex Systems and Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109-2136, USA.
authors.forename: Robert M
authors.initials: RM
authors.lastname: Ziff