Parameter-dependent exponent in a 2d model for commensurate-incommensurate transitions

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Abstract
The critical behaviour near the commensurate-incommensurate transition of a two-dimensional elastic lattice on a one-dimensionally modulated substrate is studied by a novel renormalisation group approach which includes the mismatch between lattice structure and substrate as a renormalisable parameter. The critical exponent nu is found to depend continuously on the model parameters. For typical experimental values of the latter, nu is close to 1/3, which is in good agreement with experiments on adsorbed monolayers.