Physics – Condensed Matter – Materials Science
Scientific paper
2011-04-06
Physics
Condensed Matter
Materials Science
14 pages, 7 figures; submitted to Phys. Rev. B
Scientific paper
The self-organization process during strained film heteroepitaxy is investigated via the development of a continuum elasticity model and the resulting nonlinear dynamic equation governing the evolution of film morphological profile. We study the formation and evolution of three-dimensional strained islands or quantum dots for different film-substrate misfit strains, in particular the phenomenon of island coarsening and saturation, via analyzing the time-dependent behavior of the structure factor for film surface height, its moments, and the surface roughness. Three regimes of island array evolution have been identified, including a film instability regime at early stage, a nonlinear coarsening regime at intermediate times, and the crossover to a saturated asymptotic state, with detailed behavior depending on misfit strains but not qualitatively on finite system sizes. Such asymptotic behavior of island saturation, which corresponds to the formation of steady but non-ordered arrays of strained quantum dots, occurs at later time for smaller misfit strain, and is found to be the effect of the nonlinear contribution of film elastic energy. The results are compared to previous experimental and theoretical studies on quantum dots coarsening and saturation.
Gamage Champika G.
Huang Zhi-Feng
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