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- W1988458599 abstract "The theory of thermodynamic faceting is developed for an epitaxial film grown coherently on a lattice-mismatched substrate. The situation is considered where the planar top surface of the epitaxial film in the absence of the lattice mismatch (ensuremath{Delta}a=0) is unstable against faceting, and the stable state of the surface is a periodic array of facets. It is shown that, for a finite lattice mismatch (ensuremath{Delta}aensuremath{ne}0), the continuous epitaxial film with a periodically faceted top surface is a metastable state of the heterophase system. The global energy minimum corresponds then to a periodic system of coherent strained islands. If attaining the global energy minimum is kinetically forbidden, the metastable continuous epitaxial film with a periodically faceted top surface is formed. In the case where the period of the faceted structure without external stress ${mathit{L}}_{0}$ exceeds the order of ensuremath{approxeq}50 AA{}, the dependence of the period L on the lattice mismatch is determined by the linear theory of elasticity. The period L of the metastable faceted structure increases with ensuremath{Vert}ensuremath{Delta}aensuremath{Vert} for both tensile and compressive mismatch-induced strain. The dependence of L on ensuremath{Delta}a gives a possibility of controlling the period of faceting by varying ensuremath{Delta}a. If the lattice mismatch exceeds a certain critical value [ensuremath{Vert}ensuremath{Delta}aensuremath{Vert}>(ensuremath{Delta}a${)}_{mathit{c}}$], the breakdown of formation of metastable faceted structures occurs; the metastable state disappears, and the surface shape is governed by kinetic mechanism.In the case where the period of the faceted structure without external stress is ${mathit{L}}_{0}$ensuremath{lesssim}50 AA{}, the dependence of L on ensuremath{Delta}a is determined by nonlinear elastic effects. The period L increases for one sign of ensuremath{Delta}a up to the breakdown of formation of metastable faceted structures and decreases for the other sign of ensuremath{Delta}a, where the macroscopic faceting transforms gradually into a microscopic surface reconstruction and the surface becomes apparently flat. The typical critical value of the lattice mismatch for nanometer-scale faceting varies from (ensuremath{Delta}a/a${)}_{mathit{c}}$ensuremath{sim}${10}^{mathrm{ensuremath{-}}4}$ for Lensuremath{sim}${10}^{3}$ AA{} to (ensuremath{Delta}a/a${)}_{mathit{c}}$ensuremath{sim}${10}^{mathrm{ensuremath{-}}2}$ AA{} for Lensuremath{sim}10 AA{}. A similar dependence of faceting on externally applied stress occurs for a loaded sample." @default.
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- W1988458599 date "1995-04-15" @default.
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- W1988458599 title "Tuning and breakdown of faceting under externally applied stress" @default.
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- W1988458599 doi "https://doi.org/10.1103/physrevb.51.10104" @default.
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