95-227 Anton Bovier, Christof Kulske

There are no nice interfaces in $2+1$-dimensional SOS-models in random media (32K, TeX) May 23, 95

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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.

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