Journal of Statistical Physics, Vol. 49, Nos. 5/6, 1987. p. 1093-1115.
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 Ports, 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.