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The theoretical and experimental status of surfactant mediated semiconductor epitaxial growth is reviewed. We discuss homoepitaxy as well as heteroepitaxy, and emphasize in particular issues related to the mechanism by which surfactants…

Materials Science · Physics 2007-05-23 Daniel Kandel , Efthimios Kaxiras

We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linearized elasticity. The novelty is that the model also takes into consideration the adatom density on…

Analysis of PDEs · Mathematics 2024-11-28 Riccardo Cristoferi , Gabriele Fissore

A number of recent experiments have showed that surfactants can modify the growth mode of an epitaxial film, suppressing islanding and promoting layer-by-layer growth. Here a set of coupled equations are introduced to describe the coupling…

Condensed Matter · Physics 2016-11-03 Albert-Laszlo Barabasi

A number of recent experiments have showed that surfactants can modify the growth mode of an epitaxial film, suppressing islanding and promoting layer-by-layer growth. Here I introduce a set of coupled equations to describe the…

Condensed Matter · Physics 2009-10-22 Albert-László Barabási

The morphological stability of two-dimensional islands nucleated on a substrate during vacuum or vapour-phase atom deposition is investigated. Using simple scaling arguments, it is shown that, contrary to expectation, dendritic islands may…

Statistical Mechanics · Physics 2007-05-23 Alberto Pimpinelli

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 role of step edge diffusion (SED) in epitaxial growth is investigated. To this end we revisit and extend a recently introduced simple cubic solid-on-solid model, which exhibits the formation and coarsening of pyramid or mound like…

Statistical Mechanics · Physics 2009-10-31 S. Schinzer , M. Kinne , M. Biehl , W. Kinzel

In the growth of bacterial colonies, a great variety of complex patterns are observed in experiments, depending on external conditions and the bacterial species. Typically, existing models employ systems of reaction-diffusion equations or…

Biological Physics · Physics 2019-11-12 Lautaro Vassallo , David Hansmann , Lidia A. Braunstein

The effect of impurities on epitaxial growth in the submonolayer regime is studied using kinetic Monte Carlo simulations of a two-species solid-on-solid growth model. Both species are mobile, and attractive interactions among adatoms and…

Materials Science · Physics 2007-05-23 Miroslav Kotrla , Joachim Krug , Pavel Smilauer

Effect of an anisotropic detachment on a heteroepitaxial island shape is studied by means of a kinetic Monte Carlo simulation of a square lattice gas model. Only with molecular deposition followed by surface diffusion, islands grow in a…

Materials Science · Physics 2007-07-20 Yukio Saito , Ryo Kawasaki

We investigate island formation during heteroepitaxial growth using an atomistic model that incorporates deposition, activated diffusion and stress relaxation. For high misfit the system naturally evolves into a state characterized by a…

Statistical Mechanics · Physics 2009-10-30 Albert-László Barabási

In strained heteroepitaxy, two-dimensional (2D) layers can exhibit a critical thickness at which three-dimensional (3D) islands self-assemble, relieving misfit strain at the cost of an increased surface area. Here we show that such a…

Materials Science · Physics 2017-08-25 Ryan B. Lewis , Pierre Corfdir , Hong Li , Jesús Herranz , Carsten Pfüller , Oliver Brandt , Lutz Geelhaar

The effects of adsorbates on nucleation and growth of two-dimensional islands is investigated by kinetic Monte Carlo simulations and rate equation theory. The variation of island morphology with adsorbate parameters is discussed and the…

Materials Science · Physics 2007-05-23 Miroslav Kotrla , Joachim Krug , Pavel Smilauer

We perform a mass constrained phase-field approximation for a model that describes the epitaxial growth of a two-dimensional thin film on a substrate in the context of linearised elasticity. The approximated model encodes a variable on the…

Analysis of PDEs · Mathematics 2025-06-11 Gabriele Fissore

We present a detailed systematical theoretical analysis of the post-growth processes occurring in nanofractals grown on surface. For this study we developed a method which accounts for the internal dynamics of particles in a fractal. We…

Atomic and Molecular Clusters · Physics 2015-05-18 Veronika V. Dick , Ilia A. Solov'yov , Andrey V. Solov'yov

In this work we investigate influence of substrate temperature on the surface morphology for substrate coverage below one monolayer. The model of film growth is based on random deposition enriched by limited surface diffusion. Also…

Condensed Matter · Physics 2007-05-23 K. Malarz

We perform a comprehensive study of the formation of three dimensional (pyramidal) structures in a large range of conditions, including the possible evaporation of adatoms from the surface and the presence of surface defects. We compare our…

Materials Science · Physics 2016-08-16 Pablo Jensen , Hernán Larralde , Muriel Meunier , Alberto Pimpinelli

We experimentally demonstrate a sigmoidal variation of the composition profile across semiconductor heterointerfaces. The wide range of material systems (III-arsenides, III-antimonides, III-V quaternary compounds, III-nitrides) exhibiting…

Materials Science · Physics 2012-10-11 Esperanza Luna , Álvaro Guzmán , Achim Trampert , Gabriel Álvarez

We study numerically the equilibrium shapes, shape transitions and dislocation nucleation of small strained epitaxial islands with a two-dimensional atomistic model, using simple interatomic pair potentials. We first map out the phase…

Materials Science · Physics 2007-05-23 J. Jalkanen , O. Trushin , E. Granato , S. C. Ying , T. Ala-Nissila

In this paper, we investigate three-phase eutectic growth during thin-film directional solidification of a model symmetric ternary eutectic alloy. In contrast to two-phase eutectics that have only a single possibility,…

Materials Science · Physics 2021-09-29 Sumeet Khanna , Abhik Choudhury
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