There are No Nice Interfaces in 2+1 Dimensional SOS-Models in Random Media

Abstract

We prove that in dimension $d\le 2$ 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 $d\ge 3$. The prove relies on an adaptation of a theorem of Aizenman and Wehr. Keywords: Disordered systems, interfaces, SOS-model

8 pages, gz-compressed Postscript

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