TY - JOUR TI - Phase transition in the three-state Potts antiferromagnet on the diced lattice N2 - 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 nu = e(J) - 1 = -0.860599 +/- 0.000004 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. ID - discovery82833 UR - http://dx.doi.org/10.1103/PhysRevLett.101.030601 PB - AMER PHYSICAL SOC Y1 - 2008/07/18/ VL - 101 AV - public A1 - Kotecky, R A1 - Salas, J A1 - Sokal, AD KW - SQUARE-LATTICE KW - MONTE-CARLO KW - CRITICAL-BEHAVIOR KW - ZERO-TEMPERATURE KW - MODEL KW - REPRESENTATION KW - HONEYCOMB KW - RANGE KW - SPIN IS - 3 JF - PHYS REV LETT SN - 0031-9007 N1 - © 2008 The American Physical Society ER -