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Phase transition in the three-state Potts antiferromagnet on the diced lattice
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Kotecky, Roman, Salas, Jesus and Sokal, Alan D. (2008) Phase transition in the three-state Potts antiferromagnet on the diced lattice. Physical Review Letters, Volume 101 (Number 3). Article Number 030601 . doi:10.1103/PhysRevLett.101.030601 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.101.030601
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 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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Phase transformations (Statistical physics), Antiferromagnetism, Lattice theory | ||||
Journal or Publication Title: | Physical Review Letters | ||||
Publisher: | American Physical Society | ||||
ISSN: | 0031-9007 | ||||
Official Date: | 18 July 2008 | ||||
Dates: |
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Volume: | Volume 101 | ||||
Number: | Number 3 | ||||
Number of Pages: | 4 | ||||
Page Range: | Article Number 030601 | ||||
DOI: | 10.1103/PhysRevLett.101.030601 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | National Science Foundation (U.S.) (NSF), Spain. Ministerio de Educación y Ciencia (MEC), Grantová agentura České republiky [Grant Agency of the Czech Republic] (GACR) | ||||
Grant number: | PHY-0424082 (NSF), MTM2005-08618 and No. FIS2004-03767 (MEC), 201/06/1323 and MSM 0021620845 (GACR) |
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