Delocalization for the solid-on-solid model and variants
The talk is concerned with integer-valued effective interface models such as the solid-on-solid model. Such models arise, for example, when describing the interfaces between different phases in the Ising model. In two dimensions, they are expected to have a roughening transition from localized to delocalized behaviour as the temperature increases. The existence of a delocalized phase was first shown for various models by Fröhlich and Spencer in the eighties, and in the last few years elegant alternative approaches for special cases have been developed.
In the talk I will survey these results, and then describe ongoing joint work with Sébastien Ott, where we adapt the method of Fröhlich-Spencer to some new settings.