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When finite-size effects dictate the growth dynamics on strained freestanding nanomembranes.

Abstract

We investigate the influence of strain-sharing and finite-size effects on the morphological instability of hetero-epitaxial nanomembranes made of a thin film on a thin freestanding substrate. We show that long-range elastic interactions enforce a strong dependance of the surface dynamics on geometry. The instability time-scale $\tau$ is found to diverge as $(e/H)^{-\alpha}$ with $\alpha \pe 4$ (respectively 8) in thin (resp. thick) membranes, where $e$ (resp. $H$) is the substrate (resp. nanomembrane) thickness, revealing a huge inhibition of the dynamics as strain sharing decreases the level of strain on the surface. Conversely, $\tau$ vanishes as $H^2$ in thin nano-membranes, revealing a couter-intuitive strong acceleration of the instability in thin nanomembranes. Similarly, the instability length-scale displays a power-law dependence as $(e/H)^{-\beta}$, with $\beta \pe \alpha/4$ in both the thin and thick membranes limits. These results pave the way both of experimental investigation, but also, of the dynamical control of the inescapable morphological evolution in epitaxial systems.

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Article information


Submitted
23 Nov 2019
Accepted
11 Jan 2020
First published
13 Jan 2020

This article is Open Access

Nanoscale Adv., 2020, Accepted Manuscript
Article type
Paper

When finite-size effects dictate the growth dynamics on strained freestanding nanomembranes.

M. Mezaguer, N. Ouahioune and J. Aqua, Nanoscale Adv., 2020, Accepted Manuscript , DOI: 10.1039/C9NA00741E

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