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Quantum dots have promising properties for optoelectronic applications. They can be grown free of dislocations in highly mismatched epitaxy in the coherent Stranski-Krastanov mode. In this chapter, some thermodynamic aspects related to the…

Materials Science · Physics 2007-05-23 J. E. Prieto , E. Korutcheva , I. Markov

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

An off-lattice, continuous space Kinetic Monte Carlo (KMC) algorithm is discussed and applied in the investigation of strained heteroepitaxial crystal growth. As a starting point, we study a simplifying (1+1)-dimensional situation with…

Statistical Mechanics · Physics 2007-05-23 Michael Biehl , Florian Much , Christian Vey

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 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

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

Nonlinear evolution of three-dimensional strained islands or quantum dots in heteroepitaxial thin films is studied via a continuum elasticity model and the development of a nonlinear dynamic equation governing the film morphological…

Materials Science · Physics 2015-05-27 Champika G. Gamage , Zhi-Feng Huang

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

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

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…

The formation of coherently strained three-dimensional islands on top of the wetting layer in Stranski-Krastanov mode of growth is considered in a model in 1+1 dimensions accounting for the anharmonicity and non-convexity of the real…

Materials Science · Physics 2009-10-31 E. Korutcheva , A. -M. Turiel , I. Markov

Monte Carlo simulations of an atomistic solid-on-solid model are used to study the effect of lattice misfit on the distribution of two-dimensional islands sizes as a function of coverage $\Theta$ in the submonolayer aggregation regime of…

Condensed Matter · Physics 2009-10-22 C. Ratsch , A. Zangwill , P. Šmilauer

The wetting of the homogeneously strained wetting layer by dislocation-free three-dimensional islands belonging to an array has been studied. The array has been simulated as a chain of islands in 1+1 dimensions. It is found that the wetting…

Materials Science · Physics 2009-11-10 J. E. Prieto , I. Markov

We simulated the growth of 2D islands with 2 kinds of diffusion atoms using the kinetic Monte- Carlo (kMC) method. As a result, we found that the slow atoms tend to create nuclei and determine the island volume distribution, along with…

Atomic and Molecular Clusters · Physics 2015-03-17 R. Yamauchi , X. M. Lu , M. Koyama , H. Sasakura , Y. Nakata , S. Muto

Deposition/removal of metal atoms on the hex reconstructed (100) surface of Au, Pt and Ir should present intriguing aspects, since a new island implies hex -> square deconstruction of the substrate, and a new crater the square -> hex…

Materials Science · Physics 2009-10-31 D. Passerone , F. Ercolessi , E. Tosatti

The transformation of monolayer islands into bilayer islands as a first step of the overall two-dimensional to three-dimensional (2D-3D) transformation in the coherent Stranski-Krastanov mode of growth is studied for the cases of expanded…

Materials Science · Physics 2009-11-11 J. E. Prieto , I. Markov

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

A solid-on-solid model is generalized to study the formation of Ge pyramid islands bounded by (105) facets on Si(100) substrates in two dimensions. Each atomic column is not only characterized by the local surface height but also by two…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Chi-Hang Lam

We determine the critical layer thickness for the appearance of misfit dislocations as a function of the misfit between the lattice constants of the substrate and the adsorbate from Kinetic Monte Carlo (KMC) simulations of heteroepitaxial…

Materials Science · Physics 2016-08-31 F. Much , M. Ahr , M. Biehl , W. Kinzel

Accounting for the anharmonicity of the real interatomic potentials in a model in 1+1 dimensions shows that coherent 3D islands can be formed on the wetting layer in a Stranski-Krastanov growth mode predominantly in compressed overlayers.…

Materials Science · Physics 2007-05-23 Ivan Markov , Jose Emilio Prieto
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