Cluster simulations of loop models on two-dimensional lattices.
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.
Deng
Youjin
Y
Department of Physics, New York University, 4 Washington Place, New York, New York 10003, USA.
Garoni
Timothy M
TM
Guo
Wenan
W
Blöte
Henk W J
HW
Sokal
Alan D
AD