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An improved unified formulation based on the effective field theory isintroduced for a spin-1/2 Ising model with nearest neighbor interactions witharbitrary coordination number z. Present formulation is capable of calculatingall the multi-spin correlations systematically in a representative manner, aswell as its single site counterparts in the system and gives results for thecritical temperature of the system much better than those of the other works inthe literature. The formulation can be easily applied to various extensions ofs-1/2 Ising models, as long as the system contains only the nearest neighborinteractions as spin-spin interactions.

An improved effective field theory formulation of spin-1/2 Ising systems with arbitrary coordination number z