ZERO-TEMPERATURE LANDSCAPE OF THE RANDOM SINE-GORDON MODEL

We present a preliminary summary of the zero temperature properties of the two-dimensional random sine-Gordon model of surface growth on dis ordered substrates, We found that the properties of this model can be accurately computed by using lattices of moderate size as the behavior of the model turns out to be independent of the size above certain le ngth (approximate to 128 x 128 lattices). Subsequently, we show that t he behavior of the height difference correlation function is of (log r )(2) type up to a certain correlation length (xi approximate to 20), w hich rules out predictions of log r behavior for all temperatures obta ined by replica-variational techniques. Our results open the way to a better understanding of the complex landscape presented by this system , which has been the subject of very many (contradictory) analyses.