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