Vertically extended Frenkel-Kontorova model: a real space renormalization group study

Physics – Condensed Matter – Materials Science

Scientific paper

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8 pages, 13 figures, RevTeX. Accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.72.125412

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.

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