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A Simple Phenomenological Model for Growth of Nanodots with “Magical Sizes” Stabilized by Quantum Size Effect

Published online by Cambridge University Press:  01 February 2011

Heikki Juha Tapani Ristolainen
Affiliation:
heikki.ristolainen@helsinki.fi, University of Helsinki, Department of Physics, PL 64 (Gustaf Hällströmin katu 2a), Helsinki, 00014, Finland
Ismo Koponen
Affiliation:
ismo.koponen@helsinki.fi, University of Helsinki, Department of Physics, PL 64 (Gustaf Hällströmin katu 2a), Helsinki, 00790, Finland
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Abstract

In deposition of Pb atoms on Cu(111) or Si(111) surface growth of tower-shaped nanostructures is observed. This nanotower growth is caused by structure height dependent energetics, resulting from the quantum size effects (QSE) due to the vertical electron confinement in nanotowers. In this report we present a “wedding cake” -type phenomenological model describing the time evolution of nanostructures. The model reproduces the typical morphologies of nanotowers. The results demonstrate that nanohuts are formed by downward mass currents, due to the downward diffusion of adatoms. Also the stable layers due to the quantum size effects (QSE) can be modelled with a suitable choice of model parameters. In the case of altering stabilities of layers, simultaneous bi-layer growth takes place. The results are in agreement with experimental observations.

Type
Research Article
Copyright
Copyright © Materials Research Society 2007

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