title: Cluster simulations of loop models on two-dimensional lattices.
abstract: We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n> or =1. We show that our algorithm has little or no critical slowing-down when 1< or =n< or =2. We use this algorithm to investigate the honeycomb-lattice O(n) loop model, for which we determine several new critical exponents, and a square-lattice O(n) loop model, for which we obtain new information on the phase diagram.
authors.affiliation: Department of Physics, New York University, 4 Washington Place, New York, New York 10003, USA.
authors.forename: Youjin
authors.initials: Y
authors.lastname: Deng
authors.forename: Timothy M
authors.initials: TM
authors.lastname: Garoni
authors.forename: Wenan
authors.initials: W
authors.lastname: Guo
authors.forename: Henk W J
authors.initials: HW
authors.lastname: Blöte
authors.forename: Alan D
authors.initials: AD
authors.lastname: Sokal