Anomalous scaling in epitaxial growth on vicinal surfaces: meandering and mounding instabilities in a linear growth equation with spatiotemporally correlated noise

Ajmi BH Hamouda, Alberto Pimpinelli, R. J. Phaneuf

Research output: Contribution to journalReview article

16 Scopus citations

Abstract

We have undertaken an extensive analytical and kinetic Monte Carlo study of the (2+1) dimensional discrete growth model on a vicinal surface. A non-local, phenomenological continuum equation describing surface growth in unstable systems with anomalous scaling is presented. The roughness produced by unstable growth is first studied considering various effects in surface diffusion processes (corresponding to temperature, flux, diffusion anisotropy). We found that the thermally activated roughness is well-described by a generalized Lai-Das Sarma-Villain model with non linear growth continuum equation and uncorrelated noise. The corresponding critical exponents are computed analytically for the first time and show a continuous variation in agreement with simulation results of a solid-on-solid model. However, the roughness related to the meandering instability is found, unexpectedly, to be well described by a linear continuum equation with spatiotemporally correlated noise.

Original languageEnglish (US)
Pages (from-to)2819-2827
Number of pages9
JournalSurface Science
Volume602
Issue number17
DOIs
StatePublished - Sep 1 2008

Keywords

  • Continuum equations
  • Epitaxy
  • Monte Carlo simulations
  • Scaling
  • Self-assembly
  • Surface roughening
  • Vicinal crystal surfaces

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry

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