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Nucleation on a stepped surface with an Ehrlich-Schwobel barrier

TitleNucleation on a stepped surface with an Ehrlich-Schwobel barrier
Publication TypeJournal Article
Year of Publication2013
AuthorsChromcova, Z, Tringides, MC, Chvoj, Z
JournalJournal of Physics-Condensed Matter
Volume25
Pagination265003
Date Published07
Type of ArticleArticle
ISBN Number0953-8984
Accession NumberWOS:000320329400004
Keywordsedge, epitaxy, flow growth, mediate, si, sn layer, transition
Abstract

ious articles in the past and we compared our results with results of the analytical steady-state mean-field model (Ranguelov and Altman 2007 Phys. Rev. B 75 245419). To check how the simplified assumption about the steady-state regime during deposition influences the resulting dependence of w(c) similar or equal to (D/F)(kappa), we set and also solved a time-dependent analytical model. This analytical model as well as kMC predict that w(c) similar or equal to (D/F)(1/5). kMC simulation also shows that the Ehrlich-Schwobel barrier has only limited influence on the nucleation on the stepped surface at conditions close to the nucleation regime. For all widths of terraces there is a critical value of the Ehrlich-Schwobel barrier Delta E-ES(c)/k(B)T similar to 7.3 (Delta E-ES(c) similar to 0.11 eV at T = 175 K), and only below this critical value does the Ehrlich-Schwobel barrier affect the final value of the density of nuclei. The results of the kMC are summarized in a semi-empirical analytical formula which describes the dependence of the step-flow growth and nucleation on the terrace width w, diffusion coefficient D and deposition rate F. In our simulations we tested two models of the stepped surface with different thicknesses of the step, both with an Ehrlich-Schwobel barrier on the edge of the terrace.

DOI10.1088/0953-8984/25/26/265003
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Surface Structures