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

T P Munt, D. E. Jesson, V. A. Shchukin, D. Bimberg

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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. © 2007 The American Physical Society.

Original languageEnglish
Article number085422
JournalPhysical Review B: Condensed Matter and Materials Physics
Issue number8
Publication statusPublished - 13 Feb 2007


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