A class of interaction-round-a-face models and its equivalence with an ice-type model

Owczarek, A.L.; Baxter, Rodney J.

doi:10.1007/BF01017562

A class of interaction-round-a-face models and its equivalence with an ice-type model

1987

31 pages

Published in:

J.Statist.Phys. 49 (1987) 1093-1115

DOI:

10.1007/BF01017562

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Abstract: (Springer)

A new model (called the Temperley-Lieb interactions model) is introduced, in two-dimensional lattice statistics, on a square lattice ℒ. The Temperley-Lieb equivalence of this model to the six-vertex, self-dual Potts, critical hard-hexagons and critical nonintersecting string models is established. A graphical equivalence of this model to the six-vertex model generalizes this equivalence to noncritical cases of the above models. The order parameters of a specialization of this model are studied.

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