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Related papers: Submonolayer Epitaxy Without A Critical Nucleus

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A discrete solid-on-solid model of epitaxial growth is introduced which, in a simple manner, takes into account the effect of an Ehrlich-Schwoebel barrier at step edges as well as the local relaxation of incoming particles. Furthermore a…

Condensed Matter · Physics 2009-10-30 M. Biehl , W. Kinzel , S. Schinzer

The Stranski-Krastanov growth kinetics of undislocated (coherent) 3-dimensional islands is studied with a self-consistent mean field rate theory that takes account of elastic interactions between the islands. The latter are presumed to…

Statistical Mechanics · Physics 2009-10-31 Hari M. Koduvely , Andrew Zangwill

The self-consistent rate theory for surface growth in the submonolayer regime is generalized from mono- to multi-component systems, which are formed by codeposition of different types of atoms or molecules. As a new feature, the theory…

Materials Science · Physics 2015-06-19 Mario Einax , Philipp Maass , Wolfgang Dieterich

To establish the bond-site duality of explosive percolations in 2 dimension, the site and bond explosive percolation models are carefully defined on a square lattice. By studying the cluster distribution function and the behavior of the…

Statistical Mechanics · Physics 2012-06-01 Woosik Choi , Soon-Hyung Yook , Yup Kim

We have studied the monolayer-bilayer transformation in the case of the coherent Stranski-Krastanov growth. We have found that the energy of formation of a second layer nucleus is largest at the center of the first-layer island and smallest…

Materials Science · Physics 2015-05-28 J. E. Prieto , I. Markov

In studies of island nucleation and growth, the distribution of capture zones, essentially proximity cells, can give more insight than island-size distributions. In contrast to the complicated expressions, ad hoc or derived from rate…

Statistical Mechanics · Physics 2009-10-27 Alberto Pimpinelli , T. L. Einstein

We study irreversible dimer nucleation on top of terraces during epitaxial growth in one and two dimensions, for all values of the step-edge barrier. The problem is solved exactly by transforming it into a first passage problem for a random…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Claudio Castellano

The scaling of island and monomer density, capture zone distributions (CZDs), and island size distributions (ISDs) in reversible submonolayer growth was studied using the Clarke-Vvedensky model. An approach based on rate-equation results…

Statistical Mechanics · Physics 2013-06-28 T. J. Oliveira , F. D. A. Aarao Reis

Using kinetic Monte Carlo simulations and a bond-counting ansatz, thermal stability and diffusion of an adatom island on a crystal surface are studied. At low temperatures, the diffusion constant $D$ is found to decrease for a wide range of…

Condensed Matter · Physics 2009-10-31 T. Muller , W. Selke

This paper presents a comprehensive analysis of simple models useful to analyze the growth of nanostructures obtained by cluster deposition. After detailing the potential interest of nanostructures, I extensively study the first stages of…

Materials Science · Physics 2015-06-25 Pablo Jensen

By carrying out Monte Carlo simulations based on the two-species atomic-scale kinetic growth model of GaAs(001) homoepitaxy and comparing the results with scanning tunneling microscope images, we show that initial growing islands undergo…

Materials Science · Physics 2009-10-31 M. Itoh , G. R. Bell , B. A. Joyce , D. D. Vvedensky

Diffusion of small two dimensional Cu islands (containing up to 10 atoms) on Cu(111) has been studied using the newly developed self-learning Kinetic Monte Carlo SLKMC method. It is based on a database of diffusion processes and their…

The conventional theory of homogeneous and heterogeneous nucleation in a supersaturated vapor is tested by Monte Carlo simulations of the lattice gas (Ising) model with nearest-neighbor attractive interactions on the simple cubic lattice.…

Soft Condensed Matter · Physics 2013-05-07 Fabian Schmitz , Peter Virnau , Kurt Binder

We study the dislocation formation in 2D nanoscopic islands with two methods, the Molecular Static method and the Phase Field Crystal method. It is found that both methods indicate the same qualitative stages of the nucleation process. The…

Materials Science · Physics 2008-12-04 J. Jalkanen , O. Trushin , K. Elder , E. Granato , S. C. Ying , T. Ala-Nissila

The epitaxial growth process of a high symmetry surface occurs because adatoms meet and nucleate new islands, that eventually coalesce and complete atomic layers. During multilayer growth, nucleation usually takes place on top of terraces…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Claudio Castellano

The purpose of this paper is to report some new experimental and theoretical results about the analysis of in-plane lattice spacing oscillations during two-dimensional (2D) homo and hetero epitaxial growth. The physical origin of these…

Materials Science · Physics 2015-05-13 P. Muller , P. turban , L. Lapena , S. Andrieu

Si/Ge heteroepitaxial dots under tensile strain are grown on nanostructured Ge substrates produced by high-temperature flash heating exploiting the spontaneous faceting of the Ge(001) surface close to the onset of surface melting. A very…

Mesoscale and Nanoscale Physics · Physics 2019-04-18 L. Persichetti , M. Fanfoni , B. Bonanni , M. De Seta , L. Di Gaspare , C. Goletti , L. Ottaviano , A. Sgarlata

We report on early stages of submonolayer Ag island coarsening on Ag(111) surface at room temperature ($300$ K) carried out using realistic kinetic Monte Carlo (KMC) simulations. We find that during early stages, coarsening proceeds as a…

Materials Science · Physics 2015-05-19 G. Nandipati , A. Kara , S. I. Shah , T. S. Rahman

In an attempt to find generic features on the fractal growth of Au films deposited on Ru(001), a simple simulation model based on irreversible diffusion-limited aggregation (DLA) is discussed. Highly irregular two-dimensional dentritic…

Condensed Matter · Physics 2009-10-22 E. Canessa , A. Calmetta

We study the energetics of island formation in Stranski-Krastanow growth within a parameter-free approach. It is shown that an optimum island size exists for a given coverage and island density if changes in the wetting layer morphology…

Materials Science · Physics 2009-10-31 L. G. Wang , P. Kratzer , M. Scheffler , N. Moll
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