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Kinetic step bunching instability during surface growth.

Thomas Frisch1, Alberto Verga

  • 1Institut de Recherche sur les Phénomènes Hors Equilibre, UMR 6594, CNRS, Université de Provence, Marseille, France. frisch@irphe.univ-mrs.fr

Physical Review Letters
|August 11, 2005
PubMed
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We investigated step bunching instability during crystal growth with anisotropic diffusion. This phenomenon, driven by elastic interactions, shows a maximal growth rate dependent on deposition flux (F^4).

Area of Science:

  • Surface science
  • Materials science
  • Condensed matter physics

Background:

  • Crystal growth dynamics are crucial for semiconductor fabrication.
  • Step bunching instability can affect surface morphology and device performance.
  • Anisotropic diffusion plays a significant role in surface evolution.

Purpose of the Study:

  • To investigate the step bunching kinetic instability on vicinal semiconductor surfaces.
  • To understand the role of anisotropic diffusion and elastic interactions.
  • To determine the relationship between deposition flux and growth rate.

Main Methods:

  • Theoretical modeling of surface kinetics.
  • Analysis of elastic interactions and step parameter alternations.
  • Numerical simulations of nonlinear step dynamics.

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Main Results:

  • The step bunching instability arises from anisotropic diffusion, elastic interactions, and step parameter alternation.
  • The maximal growth rate of step bunching scales with the deposition flux as F^4.
  • Numerical simulations show coarsening behavior in long-term nonlinear step dynamics.

Conclusions:

  • The study elucidates the mechanism of step bunching instability on Si(001) and Ge(001) surfaces.
  • The findings provide insights into controlling surface morphology during epitaxial growth.
  • The F^4 dependence of the growth rate offers a quantitative prediction for experimental validation.