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

Bovier, A. & Kulske, C., May-1996, In : Journal of Statistical Physics. 83, 3-4, p. 751-759 9 p.

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  • There Are No Nice Interfaces in (2+ 1)-Dimensional SOS Models in Random Media

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  • A Bovier
  • C Kulske

We prove that in dimension d less than or equal to 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 greater than or equal to 3. The proof relies on an adaptation of a theorem of Aizenman and Wehr.

Original languageEnglish
Pages (from-to)751-759
Number of pages9
JournalJournal of Statistical Physics
Issue number3-4
Publication statusPublished - May-1996
Externally publishedYes


  • disordered systems, interfaces, SOS model

ID: 121512920