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Extensive Monte Carlo simulations in the semi-grand-canonical ensemble areused to study the critical behavior of a three-dimensional compressible Isingmodel with antiferromagnetic interactions under constant volume conditions.Elastic forces between spins are introduced by the Stillinger-Weber potentialand energy parameters are chosen in such a way that antiparallel spin orderingis favored, analogous to the antiferromagnetic coupling in the rigid IsingHamiltonian. All the quantities analyzed strongly indicate that the systemremains in the universality class of the standard (rigid) three-dimensionalIsing model, in contrast with theoretical predictions

Critical behavior of the three-dimensional compressible Ising antiferromagnet at constant volume: A Monte Carlo study