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Using solvable models it is shown that coupling one- and two-dimensional systems to substrates produces significant alterations in their long-range order and scattering characteristics, even if the coupling is very weak. Expressions for Peierls's long-range-order parameter, 〈₍^2〉, are obtained, with their asymptotic forms, and static structure factors, S (Q), are evaluated.
Cleveland et al. (Fri,) studied this question.