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• W2470354900 abstract "We construct a two-dimensional continuum model to describe the energetics of shape transitions in fully faceted epitaxial quantum dots (strained islands) via minimization of elastic energy and surface energy at fixed volume. The elastic energy of the island is based on a third-order approximation, enabling us to consider shape transitions between pyramids, domes, multifaceted domes and asymmetric intermediate states. The energetics of the shape transitions are determined by numerically calculating the facet lengths that minimize the energy of a given island type of prescribed island volume. By comparing the energy of different island types with the same volume and analysing the energy surface as a function of the island shape parameters, we determine the bifurcation diagram of equilibrium solutions and their stability, as well as the lowest barrier transition pathway for the island shape as a function of increasing volume. The main result is that the shape transition from pyramid to dome to multifaceted dome occurs through sequential nucleation of facets and involves asymmetric metastable transition shapes. We also explicitly determine the effect of corner energy (facet edge energy) on shape transitions and interpret the results in terms of the relative stability of asymmetric island shapes as observed in experiment." @default.
• W2470354900 created "2016-07-22" @default.
• W2470354900 creator A5014409494 @default.
• W2470354900 creator A5016382121 @default.
• W2470354900 date "2016-06-01" @default.
• W2470354900 modified "2023-09-24" @default.
• W2470354900 title "Asymmetric shape transitions of epitaxial quantum dots" @default.
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• W2470354900 doi "https://doi.org/10.1098/rspa.2016.0262" @default.
• W2470354900 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/4950213" @default.
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• W2470354900 hasPublicationYear "2016" @default.
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