title: Phase transition in the three-state Potts antiferromagnet on the diced lattice.
abstract: We prove that the 3-state Potts antiferromagnet on the diced lattice (dual of the kagome lattice) has entropically driven long-range order at low temperatures (including zero). We then present Monte Carlo simulations, using a cluster algorithm, of the 3-state and 4-state models. The 3-state model has a phase transition to the high-temperature disordered phase at v=e;{J}-1=-0.860 599+/-0.000 004 that appears to be in the universality class of the 3-state Potts ferromagnet. The 4-state model is disordered throughout the physical region, including at zero temperature.
authors.affiliation: Center for Theoretical Study, Charles University, Prague, Czech Republic.
authors.forename: Roman
authors.initials: R
authors.lastname: Kotecký
authors.forename: Jesús
authors.initials: J
authors.lastname: Salas
authors.forename: Alan D
authors.initials: AD
authors.lastname: Sokal