Effects of Crystalline Microstructure on Epitaxial Morphology

1995 ◽  
Vol 399 ◽  
Author(s):  
Fereydoon Family ◽  
Jacques G. Amar
Keyword(s):  
Crystal Structure ◽  
Epitaxial Growth ◽  
Large Scale ◽  
Kinetic Monte Carlo ◽  
Island Size ◽  
The Past ◽  
Stages Of Growth ◽  
Kinetic Monte Carlo Simulations ◽  
Crystalline Microstructure ◽  
Good Agreement

ABSTRACTIn the past simulations of epitaxial growth have used solid-on-solid (SOS) models to simulate the crystalline structure of both the substrate and the growing crystal. These models have produced results in the early stages of growth in good agreement with experiments for a number of different quantities, including the island density and the island size distribution. For multilayer growth, however, there exists a competition between microscopic effects such as the Ehrlich-Schwoebel step barrier and the crystalline microstructure. Therefore, the crystal structure and geometry are important in determining the dynamics and evolution of epitaxial structure and morphology. We present the results of large-scale realistic kinetic Monte-Carlo simulations of multilayer epitaxial growth on fcc(100) and bcc(100) surfaces. The influence of crystal structure on the formation and coarsening of mounds and facets is discussed. We also discuss and compare our results with recent experiments.

Critical Cluster Size: Island Morphology and Size Distribution in Submonolayer Epitaxial Growth

1994 ◽  
Vol 367 ◽  
Author(s):  
Jacques G. Amar ◽  
Fereydoon Family
Keyword(s):  
Epitaxial Growth ◽  
Size Distribution ◽  
Excellent Agreement ◽  
Bond Activation ◽  
Kinetic Monte Carlo ◽  
Analytic Form ◽  
Analytical Form ◽  
Island Size ◽  
Kinetic Monte Carlo Simulations ◽  
The One

AbstractThe island-size distribution scaling function fi (u) corresponding to submonolayer epitaxial growth with critical island size i is studied via kinetic Monte Carlo simulations for i = 0, 1, 2, and 3. An analytic form for fi (u) based on a conjecture for the small-u behavior is also presented. For i = 1, the scaled island-size distribution is found to depend on island morphology. In particular, for fractal islands with i = 1 there is excellent agreement with our analytical form as well as with experiments on low temperature Fe/Fe(100) deposition. However, for compact islands with i = 1, the scaled distribution is found to deviate slightly at small u. We also find excellent agreement between our analytical form, simulations, and experiment for i =- 2 and i = 3. Good agreement between our simulation results for i = 0 and recent experiments on Fe/Cu(100) deposition is also found. Results for the scaling of the island-density as well as crossover scaling forms for the transition from i = 1 to i = 2 and from i = 1 to i = 3 are also presented and used to determine the one-bond activation energy and critical island size transition temperature for Fe/Fe(100). The morphology of fractal islands for i = 2 is also studied and compared with experiments on Au/Ru(0001).

Kinetic Monte Carlo simulations of nanocolumn formation in two-component epitaxial growth

2010 ◽  
Vol 96 (7) ◽  
pp. 071913 ◽  
Author(s):  
Shu Zheng ◽  
Wenguang Zhu ◽  
Y. F. Gao ◽  
G. M. Stocks ◽  
Zhenyu Zhang
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Epitaxial Growth ◽  
Kinetic Monte Carlo ◽  
Two Component ◽  
Kinetic Monte Carlo Simulations

Island Size and Environment Dependence of Adatom Capture: Cu/Co Islands on Ru(0001)

1998 ◽  
Vol 528 ◽  
Author(s):  
M.C. Bartelt ◽  
J.W. Evans ◽  
A.K. Schmid ◽  
R.Q. Hwang
Keyword(s):  
Kinetic Monte Carlo ◽  
Strong Dependence ◽  
Mean Field ◽  
Scanning Tunneling ◽  
Tunneling Microscopy ◽  
Island Size ◽  
Kinetic Monte Carlo Simulations ◽  
Environment Dependence ◽  
And Diffusion ◽  
Capture Rates

AbstractThe rate of capture by stable Co islands on Ru(0001) of additionally deposited Cu atoms is quantified using scanning tunneling microscopy, kinetic Monte Carlo simulations, and diffusion equation analyses. We find strong dependence of the capture rates on Co-island size, larger islands showing larger capture rates, qualitatively distinct from self-consistent mean-field predictions. The observed size dependence is shown to reflect larger island-free areas surrounding bigger islands, i.e., a strong correlation between island sizes and separations neglected in mean-field treatments.

Scaling and Coarsening in Epitaxial Growth

1998 ◽  
Vol 528 ◽  
Author(s):  
Fereydoon Family ◽  
Jacques G. Amar
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Deposition Rate ◽  
Kinetic Monte Carlo ◽  
Realistic Model ◽  
Island Size ◽  
Island Nucleation ◽  
Homoepitaxial Growth ◽  
Coarsening Behavior ◽  
Kinetic Monte Carlo Simulations

AbstractThe results of recent theoretical and simulational studies of submonolayer and multilayer homoepitaxial growth are discussed. In the submonolayer regime, the results of kinetic Monte Carlo simulations are presented and shown to provide a quantitative explanation for the variation of the submonolayer island density, critical island size, island-size distribution and morphology as a function of temperature and deposition rate found in recent experiments. In multilayer growth, a realistic model for homoepitaxial growth on fcc and bcc lattices which takes into account the correct crystal structure is reviewed. The effects of instabilities which lead to mound formation and coarsening are discussed and a unified picture of the effects of attractive and repulsive interactions at ascending and descending steps on surface morphology and island nucleation is presented. An accurate prediction of the observed mound angle for Fe/Fe(100) deposition is obtained analytically and by kinetic Monte Carlo simulations. The general dependence of the mound angle, and mound coarsening behavior on temperature, deposition rate, and strength of the step barrier in bcc(100) and fcc(100) growth is also presented and compared with recent experiments.

Transitions in Critical Island Size in Metal (100) and (111) Homoepitaxy: A Self-Consistent Rate Equation Approach

1998 ◽  
Vol 528 ◽  
Author(s):  
Mihail N. Popescu ◽  
Jacques G. Amar ◽  
Fereydoon Family
Keyword(s):  
Rate Equation ◽  
Kinetic Monte Carlo ◽  
Island Size ◽  
Bond Model ◽  
Self Consistent ◽  
Standard Rate ◽  
Simulation Results ◽  
Small Clusters ◽  
Short Range Correlations ◽  
Good Agreement

AbstractA self-consistent rate equation (RE) approach to submonolayer growth for a restricted pair-bond model that is relevant to low and intermediate temperature metal (100) and (111) homoepitaxy is introduced. In contrast to previous standard rate equation results, the transition temperature from i = 1 to a higher critical island size is well predicted along with the average island and monomer densities. It is shown that the method's implicit introduction of short-range correlations between attachment/detachment rates, together with a careful estimate of the escape rates for small clusters, are important factors for a good agreement with the kinetic Monte Carlo simulation results.

Mound Formation, Coarsening and Instabilities in Epitaxial Growth

1998 ◽  
Vol 05 (03n04) ◽  
pp. 851-864 ◽  
Author(s):  
Jacques G. Amar ◽  
Fereydoon Family
Keyword(s):  
Epitaxial Growth ◽  
Kinetic Monte Carlo ◽  
Realistic Model ◽  
Island Nucleation ◽  
Homoepitaxial Growth ◽  
Coarsening Behavior ◽  
Kinetic Monte Carlo Simulations ◽  
Temperature Deposition ◽  
Mound Formation ◽  
Kinetics Of

An introductory review of the central ideas in the kinetics of multilayer epitaxial growth is presented. A realistic model for multilayer homoepitaxial growth on fcc(100) and bcc(100) surfaces which takes into account the correct crystal structure is discussed. The effects of instabilities which lead to mound formation and coarsening are discussed, and a unified picture of the effects of attractive and repulsive interactions at ascending and descending steps on surface morphology and island nucleation is presented. An accurate prediction of the observed mound angle for Fe/Fe(100) deposition is obtained analytically and by kinetic Monte Carlo simulations. The general dependence of the mound angle and mound coarsening behavior on the temperature, deposition rate and strength of the step barrier in bcc(100) and fcc(100) growth is also presented, and compared with recent experiments.

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