Calculating the exact mean-field free energy from a Heisenberg-like Hamiltonian we determine the magnetic phase diagram for cubic-based praseodymium compounds with a Γ₃ doublet ground state and a Γ₄ triplet first-excited state. We find lines of first- and second-order phase transitions, separated by a tricritical point. We also calculate the temperature dependence of the magnetic-order parameter.
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Lima et al. (2000) studied this question.
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