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

Anton Bovier·Christof Kulske
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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. Keywords: Disordered systems, interfaces, SOS-model

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Anton Bovier, Christof Kulske. 1995-08-01. There are No Nice Interfaces in 2+1 Dimensional SOS-Models in Random Media. https://doi.org/10.1007/bf02183747

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