English

There are No Nice Interfaces in 2+1 Dimensional SOS-Models in Random Media

Condensed Matter 2009-10-28 v1

Abstract

We prove that in dimension d2d\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 d3d\geq 3. The prove relies on an adaptation of a theorem of Aizenman and Wehr. Keywords: Disordered systems, interfaces, SOS-model

Cite

@article{arxiv.cond-mat/9508006,
  title  = {There are No Nice Interfaces in 2+1 Dimensional SOS-Models in Random Media},
  author = {Anton Bovier and Christof Kulske},
  journal= {arXiv preprint arXiv:cond-mat/9508006},
  year   = {2009}
}

Comments

8 pages, gz-compressed Postscript

R2 v1 2026-07-22T11:50:20.976Z