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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 simple model for the growth of isolated steps on a vicinal crystal surface. It incorporates diffusion and drift of adatoms on the terrace, and strong step and kink edge barriers. Using a combination of analytic methods and…

Materials Science · Physics 2009-10-31 J. Heinonen , I. Bukharev , T. Ala-Nissila , J. M. Kosterlitz

The typical island distance $\ell$ in submonlayer epitaxial growth depends on the growth conditions via an exponent $\gamma$. This exponent is known to depend on the substrate dimensionality, the dimension of the islands, and the size $i^*$…

Statistical Mechanics · Physics 2016-08-31 Harald Kallabis , Paul L. Krapivsky , Dietrich E. Wolf

An extended elastic eigenvector approach for adatom interactions is applied to model Nitrogen c(2x2) Atom islands on Cu(001). Oscillating interactions between adatom monomers or dimers are considered. Attractive pair interactions of adatoms…

Materials Science · Physics 2020-09-29 Wolfgang Kappus

We investigate the kinetics of submonolayer epitaxial growth which is driven by a fixed flux of monomers onto a substrate. Adatoms diffuse on the surface, leading to irreversible aggregation of islands. We also account for the effective…

Statistical Mechanics · Physics 2009-10-31 P. L. Krapivsky , J. F. F. Mendes , S. Redner

Graphene, a flat monolayer of carbon atoms packed tightly into a two dimensional hexagonal lattice, has unusual electronic properties which have many promising nanoelectronic applications. Recent Low Energy Electron Microscopy (LEEM)…

Materials Science · Physics 2016-02-05 J H Lloyd-Williams

Morphology evolution and coarsening of metal nanoislands is computed within the framework of a surface diffusion-type model that includes the effects of the electron energy confinement within the film, the charge spillage at the…

Materials Science · Physics 2017-10-20 Mikhail Khenner

Recent experiments show that the islanding behavior during chemical vapor deposition (CVD) of Si on Si(111) using disilane (Si${_2}$H${_6}$) is quite different from that due to molecular beam epitaxy (MBE). While the latter can be…

Condensed Matter · Physics 2007-05-23 K. E. Khor , Sankar Das Sarma

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

Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

A two-electron one-dimensional model of a heteroatomic molecule composed of two open-shell atoms is considered. Including only two electrons isolates and examines the effect that the highest occupied molecular orbital has on the Kohn-Sham…

Materials Science · Physics 2010-03-22 David G. Tempel , Todd J. Martinez , Neepa T. Maitra

We examine the island size distribution function and spatial correlation function of a model for island growth in the submonolayer regime in both 1 and 2 dimensions. In our model the islands do not grow in shape, and a fixed number of…

Condensed Matter · Physics 2009-10-28 Ji Li , A. G. Rojo , Leonard M. Sander

Resonances driven by the error field multipoles in the magnets often show themselves as islands in phase plots of the particle motion. In order to be able to measure the strength of the island resonance, and then to correct it, it is…

Accelerator Physics · Physics 2007-05-23 G. Parzen

Chemical differentiation of rocky planets occurs by melt segregation away from the region of melting. The mechanics of this process, however, are complex and incompletely understood. In partially molten rocks undergoing shear deformation,…

Geophysics · Physics 2016-02-17 Chao Qi , David L. Kohlstedt , Richard F. Katz , Yasuko Takei

A systematic study based on the self-consistent dynamical simulations is presented for the spontaneous evolution of an isolated thin solid droplet on a rigid substrate, which is driven by the surface drift diffusion induced by the…

Materials Science · Physics 2010-11-25 Tarik Omer Ogurtani , Aytac Celik , Ersin Emre Oren

In an attempt to find generic features on the fractal growth of Au films deposited on Ru(001), a simple simulation model based on irreversible diffusion-limited aggregation (DLA) is discussed. Highly irregular two-dimensional dentritic…

Condensed Matter · Physics 2009-10-22 E. Canessa , A. Calmetta

The morphological evolution and the effect of growth temperature on size, orientation and composition of molecular beam epitaxy grown Ge-Si islands on Si(5 5 12) surfaces have been investigated in the temperature range from room temperature…

Materials Science · Physics 2012-12-06 J. K. Dash , A. Rath , R. R. Juluri , P. V. Satyam

Smectic liquid crystal films a few molecular layers thick that are freely suspended in air are used as a model system to study the coalescence of fluids in two dimensions. High-speed video microscopy is used to observe the coalescence of…

Soft Condensed Matter · Physics 2021-08-18 Z. H. Nguyen , K. Harth , A. M. Goldfain , C. S. Park , J. E. Maclennan , M. A. Glaser , N. A. Clark

First, we present a two-dimensional lattice gas model with anisotropic interactions which explains the experimentally observed transition from a dominant c(2x2) ordering of the CdTe(001) surface to a local (2x1) arrangement of the Cd atoms…

Materials Science · Physics 2009-11-07 M. Ahr , M. Biehl , T. Volkmann

A basic kinetic model that incorporates a coupled dynamics of the carbon atoms and dimers on a copper surface is used to compute growth of a single-layer graphene island. The speed of the island's edge advancement on Cu[111] and Cu[100]…

Materials Science · Physics 2016-07-06 Mikhail Khenner
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