Exact transition temperature of the Potts model with q states per site for the triangular and honeycomb lattices

作者: D Kim , R I Joseph

DOI: 10.1088/0022-3719/7/8/004

关键词: Honeycomb (geometry)UniquenessPotts modelTransition temperatureChiral Potts curveDuality (optimization)PhysicsMathematical physicsCondensed matter physics

摘要: By the use of duality and star-triangle transformations together with a uniqueness assumption, exact transition temperature Potts model q states per site is obtained for triangular honeycomb lattices.

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Taro Kihara, Yukio Midzuno, Toshio Shizume, Statistics of Two-Dimensional Lattices with Many Components Journal of the Physical Society of Japan. ,vol. 9, pp. 681- 687 ,(1954) , 10.1143/JPSJ.9.681
R. B. Potts, Some generalized order - disorder transformations Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 48, pp. 106- 109 ,(1952) , 10.1017/S0305004100027419