Publication:
Phase Transition in the Three-State Potts Antiferromagnet on the Diced Lattice

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2008-07-18
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American Physical Society (APS)
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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 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.
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Square-lattice, Monte Carlo, Critical-behavior, Zero-temperature, Model, Representation, Honeycomb, Range, Spin
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Physical review letters, 101(3), 030601, 4 pp.