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An Ising-type model including n-spin nearest-neighbor interactions is introduced. The ground-state properties of its Hamiltonian version are studied in one and two dimensions. The model is self-dual in one dimension. The mean-field theory indicates that for n>nc the transition may become first order. Finite-size scaling suggests that nc=4 in one dimension. The critical exponents as functions of n are estimated.
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Penson et al. (1982) studied this question.
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