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Elasticity-Based Approach of Interfaces: Application to Heteroepitaxy and Hetero-Systems

In this paper, we discuss the validity of the S-correlated theory of misfit-induced interface superstructures (MIIS) and nucleation centers for misfit dislocation network (NCMDN) by comparing its results with (i) those obtained by a fully self-consistent numerical approach and (ii) available experimental results. Two main properties play an important role in the theory. The first one is the strain related S factor, which is the ratio of a linear function of the elastic constants over the material atomic density: this factor can be identified from the standard equations of the elasticity theory which, in our approach, represents the basic background. This implies a realistic lattice dynamics model which enables to interpret the velocity of longitudinal, transverse and shear vibrational waves in solids. The second property, n S , is a geometrical parameter related to the extension of MIIS and to the lattice spacing of misfit dislocation network (MDN). We then apply this theory to several hetero-systems and we demonstrate that it can be used to optimize heterointerfaces between host materials characterized by large lattice mismatch.