Self-duality in triplet Potts models (Triangular lattice Ising model)

Obtains a class of self-dual q-state models generalizing the triangular lattice triplet Ising model in the same way that the standard q-state Potts model generalizes the self-dual square lattice Ising model. For four-state models the author finds an additional class of triplet models that are self-dual at a single temperature in analogy with the Ashkin-Teller model.

[1]  I. Enting Critical exponents for the four-state Potts model , 1975 .

[2]  G. Obermair,et al.  Note on universality and the eight-vertex model , 1974 .

[3]  R. Baxter,et al.  Ising Model on a Triangular Lattice with Three-spin Interactions. I. The Eigenvalue Equation , 1974 .

[4]  M. Suzuki,et al.  New Universality of Critical Exponents , 1974 .

[5]  R. Baxter Potts model at the critical temperature , 1973 .

[6]  F. Wegner A transformation including the weak-graph theorem and the duality transformation , 1973 .

[7]  D. W. Wood,et al.  Low-temperature expansions for Ising models with pair, triplet and quartet interactions present. II , 1973 .

[8]  D. Merlini,et al.  Spin‐½ Lattice System: Group Structure and Duality Relation , 1972 .

[9]  D. W. Wood,et al.  A self dual relation for an Ising model with triplet interactions , 1972 .

[10]  D. W. Wood A self dual relation for a three dimensional assembly , 1972 .

[11]  F. Wegner Duality relation between the Ashkin-Teller and the eight-vertex model , 1972 .

[12]  C. Fortuin,et al.  On the random-cluster model: I. Introduction and relation to other models , 1972 .

[13]  L. Kadanoff,et al.  Some Critical Properties of the Eight-Vertex Model , 1971 .

[14]  R. Baxter Eight-Vertex Model in Lattice Statistics , 1971 .

[15]  Y. Midzuno,et al.  Statistics of Two-Dimensional Lattices with Many Components , 1954 .

[16]  R. B. Potts Some generalized order-disorder transformations , 1952, Mathematical Proceedings of the Cambridge Philosophical Society.

[17]  J. Ashkin,et al.  Two Problems in the Statistical Mechanics of Crystals. I. The Propagation of Order in Crystal Lattices. I. The Statistics of Two-Dimensional Lattices with Four Components. , 1943 .

[18]  H. Kramers,et al.  Statistics of the Two-Dimensional Ferromagnet. Part II , 1941 .