Abstract

Considers a semi-infinite Gaussian model with spatially inhomogeneous short-range couplings that depend on the distance z from the surface. Far from the surface the coupling constants vary as K(z)=KB-Az-y. For y=>2 the pair correlation function of the surface spins decays as a power law with a universal exponent eta /sub ///=2 at the bulk critical temperature. For y=2, eta /sub /// is non-universal, and for y<2 there is an anomalous exponential decay.

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