Disorder-induced roughening in the three-dimensional ising model

M.J. Alava, P.M. Duxbury

Research output: Contribution to journalArticleScientificpeer-review

26 Citations (Scopus)


Using an exact method, we numerically study the zero-temperature roughness of interfaces in the random bond, cubic lattice, Ising model (of size L3, with L<~80). Interfaces oriented along the {100} direction undergo a roughening transition from a weak disorder phase, which is almost flat, to a strong disorder phase with interface width w∼cL0.42 (c is a function of the disorder). For random dilution we find the roughening threshold p∗=0.89±0.01 and c∼p∗−p for p<~p∗ (p is the volume fraction of present bonds). In contrast {111} interfaces are algebraically rough for all disorder.
Original languageEnglish
Pages (from-to)14990-14993
JournalPhysical Review E
Issue number21
Publication statusPublished - 1996
MoE publication typeA1 Journal article-refereed


  • Ising model


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