Sudden nucleation versus scale invariance of InAs quantum dots on GaAs

@article{Fanfoni2007SuddenNV,
  title={Sudden nucleation versus scale invariance of InAs quantum dots on GaAs},
  author={Massimo Fanfoni and Ernesto Placidi and Fabrizio Arciprete and Emmanuela Orsini and F. Patella and A. Balzarotti},
  journal={Physical Review B},
  year={2007},
  volume={75},
  pages={245312}
}
InAs quantum dots (QDs) self-assembled on GaAs(001) at the early stage of growth show scale invariance of the island size distribution, which have been interpreted in the framework of the Mulheran and Blackman theory. The central concept is the capture zone of the growing nucleus properly identified by the Voronoi' cells. We show that the volume distribution of the quantum dots well overlaps the area distribution of the associated Voronoi' cells determined experimentally. Moreover, we evidence… 
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References

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TLDR
This work provides a detailed scaling theory for the complete distribution of island sizes and separations, both with the ratio of diffusion to deposition rate and with time, and quantifies the depletion in the concentration of pairs of islands at small separations.
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