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Self-Assembly of Few-Atom Clusters in a Model of a Strained Submonolayer

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Atomistic Aspects of Epitaxial Growth

Part of the book series: NATO Science Series ((NAII,volume 65))

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Abstract

We consider an atomistic model of a coherent epitaxial submonolayer which is strained due to the lattice mismatch with the substrate. We argue that the same interactions which lead to the size calibration of two-dimensional islands according to the mechanism proposed by Priester and Lannoo may lead to a considerable slowing down of atomistic kinetics similar to that observed in glassy materials. To show this, we develop a formalism that is suitable for large-scale numerical simulations. Assuming pair-wise interatomic interactions and treating the lattice-mismatch- induced atomic displacements in the harmonic approximation, we map the system onto a lattice-gas model with multi-atom cluster interactions. In the simplest case, the cluster interactions reduce to a repulsion between linear atomic triplets. In the presence of competing attractive pair interactions of comparable magnitude this leads to frustration and kinetic glassy phenomena such as aging.

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Tokar, V.I., Dreyssé, H. (2002). Self-Assembly of Few-Atom Clusters in a Model of a Strained Submonolayer. In: Kotrla, M., Papanicolaou, N.I., Vvedensky, D.D., Wille, L.T. (eds) Atomistic Aspects of Epitaxial Growth. NATO Science Series, vol 65. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0391-9_32

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  • DOI: https://doi.org/10.1007/978-94-010-0391-9_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0675-3

  • Online ISBN: 978-94-010-0391-9

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