Abstract
Some aspects of self-assembly of quantum dots in thin solid films are considered. Nonlinear evolution equations describing the dynamics of the film instability that results in various surface nanostructures are analyzed. Two instability mechanisms are considered: the one associated with the epitaxial stress and the other caused by the surface-energy anisotropy. It is shown that wetting interactions between the film and the substrate transform the instability spectrum from the long- to the short-wave type, thus yielding the possibility of the formation of spatially-regular, stable arrays of quantum dots that do not coarsen in time. Pattern formation is analyzed by means of amplitude equations near the instability threshold and by numerical solution of the strongly nonlinear evolution equations in the small-slope approximation.
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Golovin, A.A., Voorhees, P.W., Davis, S.H. (2006). SELF-ASSEMBLY OF QUANTUM DOTS FROM THIN SOLID FILMS. In: Golovin, A.A., Nepomnyashchy, A.A. (eds) Advances in Sensing with Security Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 218. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4355-4_04
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