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Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets

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URI: https://hdl.handle.net/10016/33102
ISSN: 0031-9007
DOI: https://doi.org/10.1103/PhysRevLett.107.150601
UXXI: AR/0000009453
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Finite_PRL_2011.pdf (308.12 KB)
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2011-10-07
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American Physical Society
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We argue that the four-state Potts antiferromagnet has a finite-temperature phase transition on any Eulerian plane triangulation in which one sublattice consists of vertices of degree 4. We furthermore predict the universality class of this transition. We then present transfer-matrix and Monte Carlo data confirming these predictions for the cases of the Union Jack and bisected hexagonal lattices.
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Deng, Y., Huang, Y., Jacobsen, J. L., Salas, J. & Sokal, A. D. (2011). Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets. Physical Review Letters, 107(15), 150601.
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