From bell shapes to pyramids . continuum model for self-assembled quantum dot growth
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1434 | |
dc.contributor.author | Korzec, Maciek D. | |
dc.contributor.author | Evans, Peter L. | |
dc.date.accessioned | 2016-03-24T17:38:33Z | |
dc.date.available | 2019-06-28T08:04:27Z | |
dc.date.issued | 2009 | |
dc.description.abstract | A continuum model for the growth of self-assembled quantum dots that incorporates surface diffusion, an elastically deformable substrate, wetting interactions and anisotropic surface energy is presented. Using a small slope approximation a thin film equation for the surface profile that describes facetted growth is derived. A linear stability analysis shows that anisotropy acts to destabilize the surface. It lowers the critical height of flat films and there exists an anisotropy strength above which all thicknesses are unstable. A numerical algorithm based on spectral differentiation is presented and simulation are carried out. These clearly show faceting of the growing islands and a logarithmically slow coarsening behavior. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2415 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2191 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Anisotropic surface energy | eng |
dc.subject.other | self-assembly of quantum dots | eng |
dc.subject.other | small-slope approximation | eng |
dc.subject.other | stationary solutions | eng |
dc.subject.other | coarsening | eng |
dc.subject.other | linear stability | eng |
dc.title | From bell shapes to pyramids . continuum model for self-assembled quantum dot growth | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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