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

Javier Rodriguez-Laguna·Silvia N. Santalla
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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.

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Javier Rodriguez-Laguna, Silvia N. Santalla. 2005-08-02. Vertically extended Frenkel-Kontorova model: a real space renormalization group study. https://doi.org/10.1103/physrevb.72.125412

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