The pinning of a domain wall by an external potential is studied in the solid-on-solid limit of the d-dimensional inhomogeneous Ising ferromagnet. Analyzing a field theoretic generalization of this model, we show that, if the pinning potential is applied near the edge of the system, a localization-delocalization transition occurs for all 5/3<d<~3. Results for singular behavior of the surface tension, correlation length, and interface moments are derived.
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Kroll et al. (1982) studied this question.
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