Near a tricritical point of an n-component spin system, fluctuations turn the first-order transition (predicted by the Landau theory) into second order. We show that when this happens, quadratic anisotropies turn the transition first order again. In systems which exhibit fluctuation-driven first-order transitions, increasing anisotropies yield two consecutive tricritical points. These effects are predicted to result from the application of magnetic fields or uniaxial stresses to MnO, BaTiO₃, KTaₓNb_1-xO₃ (KTN), TbP, etc.
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Blankschtein et al. (1981) studied this question.
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