The first-order nature of the antiferromagnetic transitions in Cr, Eu, UO₂, and MnO can be explained by noting that the corresponding Landau-Ginzburg-Wilson Hamiltonians possess no stable fixed points in 4-ε dimensions. We predict that all fcc type-I (→m⊥→k), type-II, and type-III (→m⊥[100], →k=[1/201]) antiferromagnetic transitions are first order.
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Bak et al. (1976) studied this question.
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