Stability of strained heteroepitaxial systems in (1+1) dimensions

Details Stability of strained heteroepitaxial systems in (1+1) dimensions Stability of strained heteroepitaxial systems in (1+1) dimensions

2003-12-17

arxiv.org/abs/cond-mat/0312444v1

Physics

Condensed Matter

11 pages, 14 figures, submitted to Physical Review B

Scientific paper

10.1103/PhysRevB.70.035415

We present a simple analytical model for the determination of the stable phases of strained heteroepitaxial systems in (1+1) dimensions. In order for this model to be consistent with a subsequent dynamic treatment, all expressions are adjusted to an atomistic Lennard-Jones system. Good agreement is obtained when the total energy is assumed to consist of two contributions: the surface energy and the elastic energy. As a result, we determine the stable phases as a function of the main ``control parameters'' (binding energies, coverage and lattice mismatch). We find that there exists no set of parameters leading to an array of islands as a stable configuration. We however show that a slight modification of the model can lead to the formation of stable arrays of islands.

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