Phase Transition in the Three-State Potts Antiferromagnet on the Diced Lattice Articles uri icon

publication date

  • July 2008

start page

  • 1

end page

  • 4


  • 3, 030601


  • 101

International Standard Serial Number (ISSN)

  • 0031-9007

Electronic International Standard Serial Number (EISSN)

  • 1079-7114


  • 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=eJ-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.


  • Mathematics


  • square-lattice; monte-carlo; critical-behavior; zero-temperature; model; representation; honeycomb; range; spin