A next-neighbor Ising model with disordered but long range correlated coupling constants is investigated. The model is built on a hierarchical lattice and the correlation strength depends on a tuning parameter ␣. The results are obtained within a transfer-matrix framework, which allows for the evaluation of the properties of individual samples. Collective behavior is computed by averaging over a large number of independent realizations. The dependence of the thermodynamic and magnetic functions with respect to the temperature is investigated for each value of ␣. Phase diagrams in the ͑␣ , T͒ plane are constructed for two distinct versions of the model, indicating the existence of regions of paramagnetic and ordered phases. Critical values ␣ c , below which the system always assumes the paramagnetic phase, are found for both versions.
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