Vertically extended Frenkel-Kontorova model: a real space renormalization group study
arXiv:cond-mat/0502178 · doi:10.1103/PhysRevB.72.125412
Abstract
A modification of the Frenkel-Kontorova model is presented in which particles are allowed to move in the vertical direction. This model is used to study the formation of islands for a monolayer of 1D interfaces and the corresponding roughness transition. Both analytical and numerical approaches are employed, and the numerical algorithm is based upon real space renormalization group techniques.
8 pages, 13 figures, RevTeX. Accepted for publication in Phys. Rev. B