Nonuniversal anisotropy dependence of critical-wetting exponents in a vector model

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Abstract
A Landau theory of critical wetting is discussed for two anisotropic vector models of a semi-infinite ferromagnet. In one case (cubic anisotropy) the existence of two competing length scales leads to mean-field critical exponents which are nonuniversal and depend on the anisotropy constant. This behavior is determined by the form of the tails of the magnetization profiles at the free interfaces of the model. In the second case, a model with uniaxial anisotropy, the particular form of the free interfacial profiles is governed by a single length scale and yields only universal wetting behavior at the mean-field level.