Abstract
We prove that in dimensiond≤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 ind≥3. The proof relies on an adaptation of a theorem of Aizenman and Wehr.
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Communicated by J. L. Lebowitz
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Bovier, A., Külske, C. There are no nice interfaces in (2+1)-dimensional SOS models in random media. J Stat Phys 83, 751–759 (1996). https://doi.org/10.1007/BF02183747
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DOI: https://doi.org/10.1007/BF02183747