title: Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q.
abstract: We exhibit infinite families of two-dimensional lattices (some of which are triangulations or quadrangulations of the plane) on which the q-state Potts antiferromagnet has a finite-temperature phase transition at arbitrarily large values of q. This unexpected result is proven rigorously by using a Peierls argument to measure the entropic advantage of sublattice long-range order. Additional numerical data are obtained using transfer matrices, Monte Carlo simulation, and a high-precision graph-theoretic method.
authors: Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. huangy22@mail.ustc.edu.cn
authors: Yuan
authors: Y
authors: Huang
authors: Kun
authors: K
authors: Chen
authors: Youjin
authors: Y
authors: Deng
authors: Jesper Lykke
authors: JL
authors: Jacobsen
authors: Roman
authors: R
authors: Kotecký
authors: Jesús
authors: J
authors: Salas
authors: Alan D
authors: AD
authors: Sokal
authors: Jan M
authors: JM
authors: Swart
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D060526:Magnetic Fields; D015233:Models, Statistical; D044367:Phase Transition