There are No Nice Interfaces in 2+1 Dimensional SOS-Models in Random Media
classification
❄️ cond-mat
keywords
interfacesdisorderedproveadaptationaizenmancannotcontrastcovariant
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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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