WIAS Preprint No. 151, (1995)

There are no nice interfaces in 2+1 dimensional SOS-models in random media


  • Bovier, Anton
  • Külske, Christof

2010 Mathematics Subject Classification

  • 82B44 82B24


  • Disordered systems, interfaces, SOS-model


We prove that in dimension d ≤ 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 ≥ 3. The prove relies on an adaptation of a theorem of Aizenman and Wehr.

Appeared in

  • J. Stat. Phys., 83 (1996), pp. 751-759

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