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

Javier Rodríguez-Laguna and Silvia N. Santalla
Phys. Rev. B 72, 125412 – Published 8 September 2005

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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  • Received 11 February 2005

DOI:https://doi.org/10.1103/PhysRevB.72.125412

©2005 American Physical Society

Authors & Affiliations

Javier Rodríguez-Laguna1 and Silvia N. Santalla2,*

  • 1Departamento Física Teórica, Universidad Complutense de Madrid, Madrid, Spain
  • 2Departamento de Física, Universidad Carlos III de Madrid, Leganés, Spain

  • *Email address: ssantall@fis.uc3m.es; URL: http://moria.uc3m.es/~noema

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Issue

Vol. 72, Iss. 12 — 15 September 2005

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