Self-organization of quantum dots in epitaxially strained solid films

A. A. Golovin*, Stephen H Davis, Peter W Voorhees

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

79 Scopus citations

Abstract

A nonlinear evolution equation for surface-diffusion-driven Asaro-Grinfeld instability of an epitaxially strained thin solid film on a solid substrate was discussed. It was observed that the presence of a weak wetting interaction between the film and the substrate retarded the instability and modified its spectrum. It was observed that unless the wetting potential depended on the slope of the film surface, the spatially regular arrays of dots or pit were subcritical and the solutions of the derived equation blow up in a finite time. Analysis shows that the self-organization dynamics was significantly affected by the presence of the Goldstone mode associated with the conservation of mass.

Original languageEnglish (US)
Article number056203
Pages (from-to)562031-5620311
Number of pages5058281
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number5 2
StatePublished - Nov 1 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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