Equilibrium Shape of an Epitaxial Cluster

  • Christophe Duport
  • Jacques Villain
  • Catherine Priester
Part of the NATO ASI Series book series (NSSB, volume 360)


Isolated, non-buried, coherent, epitaxial islands at equilibrium are flat disks if they are small and pyramids if they are big. The transition between the two shapes is discontinuous and involves an activation energy. In a population of flat islands, there is, in contrast with the Ostwald-Lifshitz-Slyozov theory, an equilibrium shape with a finite radius which diverges for vanishing misfit. These properties are demonstrated in a simple model where interactions between steps are neglected, and compared with experiments and numerical calculations for InAs/GaAs(001).


Elastic Energy Equilibrium Shape Flat Disk Finite Radius Bulk Energy Density 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Christophe Duport
    • 1
  • Jacques Villain
    • 1
  • Catherine Priester
    • 2
  1. 1.Département de Recherche Fondamentale sur la Matière Condensée, SPSMSCEAGrenoble Cedex 9France
  2. 2.Département ISENIEMNVilleneuve d’Ascq CedexFrance

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