Stability of a strongly anisotropic thin epitaxial film in a wetting interaction with elastic substrate

Khenner, Mikhail; Tekalign, Wondimu; Levine, M. S.

doi:10.1209/0295-5075/93/26001

Cited by 8 publications

(10 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As we observe now, the corner energy may drastically change the picture if allowed to increase. While a recent study linear stability of thin solid films with strongly anisotropic surface energy and wetting interactions has been carried out by Khenner et al [23], a more detailed discussion of the effects of strong anisotropy and corner regularization can best be found in Liu and Metiu [29], but also Cahn and Taylor [43]. Our results basically confirm their analysis and extension of Mullins' equation by including anisotropy and corner energy.…”

Section: Impact Of Strong Anisotropy and Deposition Flux On Faceting supporting

confidence: 86%

Anisotropic surface energy formulations and their effect on stability of a growing thin film

Korzec¹,

Münch²,

Wagner³

2013

Interfaces Free Bound.

View full text Add to dashboard Cite

In this paper we revisit models for the description of the evolution of crystalline films with anisotropic surface energies. We prove equivalences of symmetry properties of anisotropic surface energy models commonly used in the literature. Then we systematically develop a framework for the derivation of surface diffusion models for the self-assembly of quantum dots during Stranski-Krastanov growth that include surface energies also with large anisotropy as well as the effect of wetting energy, elastic energy and a randomly perturbed atomic deposition flux. A linear stability analysis for the resulting sixth-order semilinear evolution equation for the thin film surface shows that that the new model allows for large anisotropy and gives rise to the formation of anisotropic quantum dots. The nonlinear three-dimensional evolution is investigated via numerical solutions. These suggest that increasing anisotropy stabilizes the faceted surfaces and may lead to a dramatic slowdown of the coarsening of the dots.

show abstract

Section: Impact Of Strong Anisotropy and Deposition Flux On Faceting supporting

confidence: 86%

Anisotropic surface energy formulations and their effect on stability of a growing thin film

Korzec¹,

Münch²,

Wagner³

2013

Interfaces Free Bound.

View full text Add to dashboard Cite

show abstract

“…Then the calculation of the functional derivative leads to a four-term expression [17] (see also Refs. [16,18,19])…”

Section: The Model For Surface Morphology Evolutionmentioning

confidence: 99%

Height transitions, shape evolution and coarsening of equilibrating quantum nanoislands

Khenner¹

2017

Modelling Simul. Mater. Sci. Eng.

View full text Add to dashboard Cite

Morphology evolution and coarsening of metal nanoislands is computed within the framework of a surface diffusion-type model that includes the effects of the electron energy confinement within the film, the charge spillage at the film/substrate interface, the energy anisotropy of the film surface and the surface stress. The conditions that result in large islands with flat tops, steep edges, and strongly preferred heights are determined. A strong influence of the film height on the coarsening dynamics and final morphologies is found; the conditions leading to interrupted coarsening are highlighted. The dependence of the geometric parameters of the equilibrium island on the film height and on the island initial volume is computed.

show abstract

“…A faceting instability was theoretically studied in several papers for different situations, which include film growth, substrate wetting, and heteroepitaxial stress, see for instance Refs. [10][11][12][13][14]17,18,26,[29][30][31][32] .…”

Section: B Qse and Anisotropymentioning

confidence: 99%

Interplay of quantum size effect, anisotropy and surface stress shapes the instability of thin metal films

Khenner

2016

J Eng Math

View full text Add to dashboard Cite

Morphological instability of a planar surface ([111], [011], or [001]) of an ultra-thin metal film is studied in a parameter space formed by three major effects (the quantum size effect, the surface energy anisotropy and the surface stress) that influence a film dewetting. The analysis is based on the extended Mullins equation, where the effects are cast as functions of the film thickness. The formulation of the quantum size effect (Z. Zhang et al., PRL 80, 5381 (1998)) includes the oscillation of the surface energy with thickness caused by electrons confinement. By systematically comparing the effects, their contributions into the overall stability (or instability) is highlighted.Mathematics Subject Classification: 74H10, 74H55, 35Q74.

show abstract

Stability of a strongly anisotropic thin epitaxial film in a wetting interaction with elastic substrate

Cited by 8 publications

References 29 publications

Anisotropic surface energy formulations and their effect on stability of a growing thin film

Anisotropic surface energy formulations and their effect on stability of a growing thin film

Height transitions, shape evolution and coarsening of equilibrating quantum nanoislands

Interplay of quantum size effect, anisotropy and surface stress shapes the instability of thin metal films

Contact Info

Product

Resources

About