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The nucleation and growth of two--dimensional islands is studied with Monte Carlo simulations of a pair--bond solid--on--solid model of epitaxial growth. The conventional description of this problem in terms of a well--defined critical…

Condensed Matter · Physics 2009-10-28 C. Ratsch , P. Šmilauer , A. Zangwill , D. D. Vvedensky

Large-scale atomistic calculations, using empirical potentials for modeling semiconductors, have been performed on a stressed system with linear surface defects like steps. Although the elastic limits of systems with surface defects remain…

Materials Science · Physics 2007-09-12 Julien Godet , Laurent Pizzagalli , Sandrine Brochard , Pierre Beauchamp

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

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

The electromigration-induced shape evolution of two-dimensional vacancy islands on a crystal surface is studied using a continuum approach. We consider the regime where mass transport is restricted to terrace diffusion in the interior of…

Materials Science · Physics 2015-06-25 Frank Hausser , Philipp Kuhn , Joachim Krug , Axel Voigt

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

A mean field theory is developed for the calculation of the surface free energy of the staggered BCSOS, (or six vertex) model as function of the surface orientation and of temperature. The model approximately describes surfaces of crystals…

Statistical Mechanics · Physics 2009-10-31 Enrico Carlon , Henk van Beijeren

Stranski-Krastanov strained islands undergo a shape anisotropy transition as they grow in size, finally evolving toward nanowires. This effect has been explained until now via simple energetic models that neglect thermodynamics. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Cristiano Nisoli , Douglas Abraham , Turab Lookman , Avadh Saxena

A continuum theory is employed to numerically study the equilibrium orientation and defect structures of a circular cylindrical particle with flat ends under a homeotropic anchoring condition in a uniform nematic medium. Different aspect…

Soft Condensed Matter · Physics 2015-01-27 S. Masoomeh Hashemi , Mohammad Reza Ejtehadi

To learn about basic aspects of nano-scale spherical molecular shells during their formation, spherically curved two-dimensional N-particle Lennard-Jones systems are simulated, studying curvature evolution paths at zero-temperature. For…

Atomic and Molecular Clusters · Physics 2009-11-11 J. M. Voogd , P. M. A. Sloot , R. van Dantzig

The problem of heterogeneous nucleation of second-phase in alloys in the vicinity of elastic defects is considered. The defect can be a dislocation line or a crack tip residing in a crystalline solid. We use the Ginzburg-Landau equation to…

Materials Science · Physics 2011-10-07 Christina Bjerkén , Ali R. Massih

The effects of a surfactant on two-dimensional pattern formation in epitaxial growth are explored theoretically using a simple model, in which an adatom becomes immobile only after overcoming a large energy barrier as it exchanges positions…

Condensed Matter · Physics 2016-08-31 Bang-Gui Liu , Jing Wu , E. G. Wang , Zhenyu Zhang

This work unravels the atomic details of the interaction of solute atoms with nanoscale crystalline defects. The complexity of this phenomenon is elucidated through detailed atom probe tomographic investigations on epitaxially-strained,…

Materials Science · Physics 2021-12-22 Samik Mukherjee , Simone Assali , Oussama Moutanabbir

We introduce an off-lattice model with continuous particle distances and pair-potential interactions which allows for the efficient simulation of strained heteroepitaxial growth by means of kinetic Monte Carlo (KMC) simulations. We discuss…

Materials Science · Physics 2007-05-23 Florian Much

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

We use the phase field crystal model to study nucleation of edge dislocations in two dimensions under an applied stress field. A dislocation dipole nucleates under the applied stress, consistent with Burgers vector conservation. The phase…

Materials Science · Physics 2021-01-20 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta , Jorge Viñals

A strained epitaxial film deposited on a deformable substrate undergoes a morphological instability relaxing the elastic energy by surface diffusion. The nonlinear and nonlocal dynamical equations of such films with wetting interactions are…

Statistical Mechanics · Physics 2011-11-16 Jean-Noel Aqua , Thomas Frisch , Alberto Verga

The equilibrium shapes and energies of coherent strained InP islands grown on GaP have been investigated with a hybrid approach that has been previously applied to InAs islands on GaAs. This combines calculations of the surface energies by…

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

We study the nucleation of GaN islands grown by plasma-assisted molecular-beam epitaxy on AlN(0001) in a Stranski-Krastanov mode. In particular, we assess the variation of their height and density as a function of GaN coverage. We show that…

Materials Science · Physics 2017-01-17 C. Adelmann , B. Daudin , R. A. Oliver , G. A. D. Briggs , R. E. Rudd

We describe a theoretical study of the role of adsorbate interactions in island nucleation and growth, using Ag/Pt(111) heteroepitaxy as an example. From density-functional theory, we obtain the substrate-mediated Ag adatom pair interaction…

Materials Science · Physics 2009-10-31 Kristen A. Fichthorn , Matthias Scheffler