There are No Nice Interfaces in 2+1 Dimensional SOS-Models in Random Media
arXiv:cond-mat/9508006 · doi:10.1007/BF02183747
Abstract
We prove that in dimension $d\leq 2$ translation covariant Gibbs states describing rigid interfaces in a disordered solid-on-solid (SOS) cannot exist for any value of the temperature, in contrast to the situation in $d\geq 3$. The prove relies on an adaptation of a theorem of Aizenman and Wehr. Keywords: Disordered systems, interfaces, SOS-model
8 pages, gz-compressed Postscript