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We report simulations of submonolayer epitaxial growth using a continuum phase field model. The island density and the island size distribution both show scaling behavior. When the capillary length is small, the island size distribution is…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Fan Ming , Andrew Zangwill

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

Ab initio calculations and kinetic Monte Carlo simulations demonstrate that the quantum confinement of surface electrons to nanoislands can significantly affect the growth process at low temperatures. Formation of empty zones and orbits of…

Other Condensed Matter · Physics 2008-05-16 A. S. Smirnov , N. N. Negulyaev , L. Niebergall , W. Hergert , A. M. Saletsky , V. S. Stepanyuk

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

The effects of cluster diffusion on the submonolayer island density and island-size distribution are studied for the case of irreversible growth of compact islands on a 2D substrate. In our model, we assume instantaneous coalescence of…

Materials Science · Physics 2015-05-27 Yevgen A. Kryukov , Jacques G. Amar

Systems in which particles can self-assemble into mono- or bilayers can form variety of stable and metastable structures on a nanometer length scale. For this reason confinement has a particularly strong effect on such systems. We discuss…

Soft Condensed Matter · Physics 2007-05-23 A. Ciach , V. Babin , M. Tasinkevych

A quantitative comparison between experimental and Monte Carlo simulation results for the epitaxial growth of Cu/Cu(001) in the submonolayer regime is presented. The simulations take into account a complete set of hopping processes whose…

Condensed Matter · Physics 2009-11-07 Itay Furman , Ofer Biham , Jiang-Kai Zuo , Anna K. Swan , John F. Wendelken

We develop a theory for the inclusion of adatom interactions in second layer nucleation occurring in epitaxial growth. The interactions considered are due to ring barriers between pairs of adatoms and binding energies of unstable clusters.…

Materials Science · Physics 2009-11-07 S. Heinrichs , P. Maass

Island formation in strain-free heteroepitaxial deposition of thin films is analyzed using kinetic Monte Carlo simulations of two minimal lattice models and scaling approaches. The transition from layer-by-layer (LBL) to island (ISL) growth…

We present Monte Carlo simulations for the size and temperature dependence of the diffusion coefficient of adatom islands on the Cu(100) surface. We show that the scaling exponent for the size dependence is not a constant but a decreasing…

Materials Science · Physics 2009-10-31 J. Heinonen , I. Koponen , J. Merikoski , T. Ala-Nissila

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 study, both analytically and numerically, the interaction effects on the skewness of the size distribution of elements in a growth model. We incorporate two types of global interaction into the growth model, and develop analytic…

Statistical Mechanics · Physics 2018-03-14 Jungzae Choi , M. Y. Choi , Byung-Gook Yoon

We use Monte-Carlo simulations to study island formation in the growth of thin semiconducting films deposited on lattice-mismatched substrates. It is known that islands nucleate with critical nuclei of about one atom and grow two…

Materials Science · Physics 2009-10-31 K. E. Khor , S. Das Sarma

Precise control over thin film morphology is critical for optimizing material properties across diverse technological applications, as the growth mode (whether 2D layer-by-layer or 3D island formation)determines key functional properties…

Materials Science · Physics 2025-11-21 Samuel Aldana , Michael Nolan

We show that mean-field rate equations for submonolayer growth can successfully predict island size distributions in the pre-coalescence regime if the full dependence of capture numbers on both the island size and the coverage is taken into…

Statistical Mechanics · Physics 2015-05-19 Martin Körner , Mario Einax , Philipp Maass

This study uses a coarse-grained Monte Carlo algorithm to model and simulate the coadsorption of a binary mixture of counterionic colloids in Gibbs monolayers. These monolayers form at a idealized air-water interface, with one non-soluble…

Soft Condensed Matter · Physics 2024-03-25 J. M. Gómez-Verdú , B. Martínez-Haya , A. Cuetos

The growth and microstructural properties of ternary monolayers of two-dimensional hexagonal materials are examined, including both individual two-dimensional crystalline grains and in-plane heterostructures, multijunctions, or…

Materials Science · Physics 2022-07-06 Zhi-Feng Huang

The interplay between kinetic and macroscopic scales during magnetic reconnection is investigated using particle-in-cell simulations of magnetic island coalescence in the strongly-magnetized, relativistic pair plasma regime. For large…

Plasma Physics · Physics 2025-11-21 Alexander Velberg , Adam Stanier , Xiaocan Li , Fan Guo , William Daughton , Nuno F. Loureiro

We study one-dimensional models of particle diffusion and attachment/detachment from islands where the detachment rates gamma(m) of particles at the cluster edges increase with cluster mass m. They are expected to mimic the effects of…

Statistical Mechanics · Physics 2009-11-13 R. B. Stinchcombe , F. D. A. Aarão Reis

We investigate the influence of intermixing on heteroepitaxial growth dynamics, using a two-dimensional point island model, expected to be a good approximation in the early stages of epitaxy. In this model, which we explore both…

Statistical Mechanics · Physics 2015-06-22 K. I. Mazzitello , L. M. Delgado , J. L. Iguain