J. Phys. I France
Volume 5, Numéro 10, October 1995
Page(s) 1317 - 1350
DOI: 10.1051/jp1:1995200
J. Phys. I France 5 (1995) 1317-1350

Growth Instabilities Induced by Elasticity in a Vicinal Surface

Christophe Duport1, Paolo Politi2 and Jacques Villain1

1  CEA, Département de Recherche Fondamentale sur la Matière Condenssée, SPSMS/MDN, 38054 Grenoble Cedex 9, France
2  CEA, Département de Recherche Fondamentale sur la Matière Condensée, SPMM/MP, 38054 Grenoble Cedex 9, France

(Received 31 May 1995, accepted 26 June 1995)

We study the effect of elasticity on the step-bunching instability in heteroepitaxial growth on a vicinal substrate. Three main effects are taken into account: the Schwoebel barrier and the step-step and the step-adatom elastic interactions. The first one is always stabilizing, the second one generally destabilizing and the last one, stabilizing or not according to the sign of the misfit with the substrate. At very low values of the flux F, only the step-step interaction is effective: the stabilization is provided by the broken bond mechanism and the destabilization by the misfit mechanism. At increasing F, the stabilization is governed by the Schwoebel effect and only the misfit mechanism needs to be taken into account. A stability phase diagram, taking into account also a possible instability for island nucleation, is drawn in the plane $(F,T)\equiv$ (flux,temperature): a stable region appears, at intermediate values of F.

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