Correlation functions of a 2D fully frustrated Ising system on a square lattice

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Abstract
We study two and four points correlation functions for two dimensional Ising spins on the generalized square lattice; the method makes use of a conjectured expression for the spontaneous magnetization of this system. For special values of the interaction parameters, we obtain those of the so called ZZD model (a fully frustrated system) ; its two points correlation function in the diagonal direction, ω 2(k, k), behaves like 1/k1/2 cos π/2 k quite similarly to the case of the antiferromagnetic Ising triangular lattice already studied by Stephenson