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We study the equilibrium shape, shape transitions and optimal size of strained heteroepitaxial nanoislands with a two-dimensional atomistic model using simply adjustable interatomic pair potentials. We map out the global phase diagram as a…

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

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 formation of dislocation-free three-dimensional islands during the heteroepitaxial growth of lattice-mismatched materials has been observed experimentally for several material systems. The equilibrium shape of the islands is governed by…

Materials Science · Physics 2008-02-03 E. Pehlke , N. Moll , M. Scheffler

We study numerically the energetics and atomic mechanisms of misfit dislocation nucleation and stress relaxation in a two-dimensional atomistic model of strained epitaxial layers on a substrate with lattice misfit. Relaxation processes from…

Materials Science · Physics 2009-11-10 O. Trushin , E. Granato , S. C. Ying , P. Salo , T. Ala-Nissila

We present a new approach for predicting stable equilibrium shapes of crystalline islands on flat substrates, as commonly occur through solid-state dewetting of thin films. The new theory is a generalization of the widely used Winterbottom…

Materials Science · Physics 2017-06-23 Weizhu Bao , Wei Jiang , David J. Srolovitz , Yan Wang

We study numerically the minimum energy path and energy barriers for dislocation nucleation in a two-dimensional atomistic model of strained epitaxial layers on a substrate with lattice misfit. Stress relaxation processes from coherent to…

Materials Science · Physics 2009-11-07 O. Trushin , E. Granato , S. C. Ying , P. Salo , T. Ala-Nissila

We investigate the formation and the coarsening dynamics of islands in a strained epitaxial semi-conductor film. These islands are commonly observed in thin films undergoing a morphological instability due to the presence of the elasto…

Materials Science · Physics 2016-11-02 Guido Schifani , Thomas Frisch , Mederic Argentina , Jean-Noël Aqua

We develop a theory for nucleation on top of islands in epitaxial growth based on the derivation of lifetimes and rates governing individual microscopic processes. These processes are strongly affected by the additional step edge barrier…

Materials Science · Physics 2009-10-31 S. Heinrichs , J. Rottler , Ph. Maass

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

A generalised Wulf-Kaishew theorem is given describing the equilibrium shape (ES) of an isolated 3D crystal A deposited coherently onto a lattice mismatched planar substrate. For this purpose a free polyhedral crystal is formed then…

Materials Science · Physics 2015-05-13 P. Muller , R. Kern

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

We study the relaxation to equilibrium of two dimensional islands containing up to 20000 atoms by Kinetic Monte Carlo simulations. We find that the commonly assumed relaxation mechanism - curvature-driven relaxation via atom diffusion -…

The equilibrium shapes of InAs quantum dots (i.e., dislocation-free, strained islands with sizes >= 10,000 atoms) grown on a GaAs (001) substrate are studied using a hybrid approach which combines density functional theory (DFT)…

Materials Science · Physics 2009-10-31 N. Moll , M. Scheffler , E. Pehlke

We investigate the equilibrium properties of strained heteroepitaxial systems, incorporating the formation and the growth of a wetting film, dislocation free island formation, and ripening. The derived phase diagram provides a detailed…

Statistical Mechanics · Physics 2009-10-30 Istvan Daruka , Albert-Laszlo Barabasi

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

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

Square lattice gas models for heteroepitaxial growth are studied by means of kinetic Monte Carlo simulations, in order to find a possible origin of anisotropic island shape observed in growth experiments of long organic molecules. When…

Materials Science · Physics 2009-11-13 Yukio Saito , Ryo Kawasaki

We consider the shape evolution of two-dimensional islands on a crystal surface in the regime where mass transport is exclusively along the island edge. A directed mass current due to surface electromigration causes the island to migrate in…

Materials Science · Physics 2007-05-23 Philipp Kuhn , Joachim Krug

The shape evolution of two-dimensional islands through periphery diffusion biased by an electromigration force is studied numerically using a continuum approach. We show that the introduction of crystal anisotropy in the mobility of edge…

Materials Science · Physics 2009-11-10 Philipp Kuhn , Joachim Krug , Frank Hausser , Axel Voigt

We use a new variant of Molecular Static method for simulation of the atomic structure near nanovoids. In our model an iterative procedure is employed, in which the atomic structure in the void vicinity and the parameter determining the…

Materials Science · Physics 2020-04-06 A. V. Nazarov , A. A. Mikheev , A. P. Melnikov
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