Structure of a solid film on an imperfect surface

Two-dimensional solid films physisorbed on a substrate having quenched random imperfections are studied within the continuum elastic theory. Correlation functions describing positional and orientational order at zero temperature are found. In the presence of arbitrarily weak disorder in a substrate, only the short-range positional order survives in a film. Orientational order is long-ranged or quasi-long-ranged depending on the strength of the substrate-generated orientational field.