Correlation functions in an exactly solvable terrace-ledge-kink model

We solve exactly a terrace-ledge-kink (TLK) model describing a vicinal sect ion of a crystal surface at a microscopic level, with either repulsive or a ttractive interactions between the ledges. As expected there is a faceting, or reconstructive, phase transition, driven either by temperature or by th e chemical potential, that controls the mean slope of the surface. In the r ough phase we carry out a thorough investigation of microscopic thermal flu ctuations of the interface. This is done by combining Bethe ansatz and Conf ormal Field Theory methods in order to calculate appropriately defined corr elators, (C) 1999 Elsevier Science B.V. All rights reserved.