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Phase transition in the three-state Potts antiferromagnet on the diced lattice

Kotecky, R; Salas, J; Sokal, AD; (2008) Phase transition in the three-state Potts antiferromagnet on the diced lattice. PHYS REV LETT , 101 (3) , Article 030601. 10.1103/PhysRevLett.101.030601. Green open access

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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.

Type: Article
Title: Phase transition in the three-state Potts antiferromagnet on the diced lattice
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.101.030601
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.101.030601
Language: English
Additional information: © 2008 The American Physical Society
Keywords: SQUARE-LATTICE, MONTE-CARLO, CRITICAL-BEHAVIOR, ZERO-TEMPERATURE, MODEL, REPRESENTATION, HONEYCOMB, RANGE, SPIN
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/82833
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