Metastable states of surface nanostructure arrays studied using a Fokker-Planck equation

Timothy P Munt, David Jesson, V A Shchukin, D Bimberg

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    We consider the coarsening of surface nanostructures which possess a minimum in formation energy per atom as a function of island size. The time evolution of the island size distribution function is evaluated using an approach based on a Fokker-Planck equation. Competition between chemical potential driven drift and thermal diffusive broadening of the island size distribution results in narrow Gaussian-like metastable states. The existence of these states, which allow the possibility of tuning the mean island size through the incorporation of a deposition flux, depends only upon the presence of a positive gradient in island chemical potential with respect to island size. Such behavior has important implications for the fabrication of uniformly sized quantum dot arrays with size selectivity.
    Original languageEnglish
    Pages (from-to)085422-1 - 085422-12
    Number of pages12
    JournalPhysical Review B
    Issue number8
    Publication statusPublished - 2007

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