1975•Journal of Physics A Mathematical and GeneralOpen access

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

Ian Graham Enting

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Ising model, Potts model, Square-lattice Ising model, Hexagonal lattice, Square lattice, Lattice model (finance), Chiral Potts curve, Lattice (music)

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