We have performed Monte Carlo simulations for correlation functions in various solid-on-solid models, some of which are equivalent to the $F$ model, the two-dimensional Coulomb gas, and the planar model. Our results for the $F$ model can be quantitatively represented using the theory of Kosterlitz and Thouless. We use this theory to help determine the transition temperatures in other systems.

• Received 1 September 1978

DOI:https://doi.org/10.1103/PhysRevLett.41.1399