Abstract

We present a field-theoretic description of the crossover in the critical statics of uniaxial dipolar ferromagnets. Within a generalized minimal subtraction scheme we are able to describe the crossover from Ising behavior with nonclassical exponents to asymptotic uniaxial dipolar behavior, which is characterized by classical exponents with logarithmic corrections. The results are discussed in terms of flow diagrams and effective exponents and are compared with experiments on ${\mathrm{LiTbF}}_{4}$.

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