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The formation of three-dimensional structures during the epitaxial growth of films is associated to the reflection of diffusing particles in descending terraces due to the presence of the so-called Ehrlich-Schwoebel (ES) barrier. We…

Statistical Mechanics · Physics 2011-09-23 F. F. Leal , T. J. Oliveira , S. C. Ferreira

The formation of mounded surfaces in epitaxial growth is attributed to the presence of barriers against interlayer diffusion in the terrace edges, known as Ehrlich-Schwoebel (ES) barriers. We investigate a model for epitaxial growth using a…

Statistical Mechanics · Physics 2015-03-13 F. F. Leal , S. C. Ferreira , S. O. Ferreira

\emph{Wolf-Villain (WV) model} is a simple model used to study \emph{ideal} molecular beam epitaxy (MBE) growth by using computer simulations. In this model, an adatom diffuses instantaneously within a finite diffusion length to maximize…

Statistical Mechanics · Physics 2020-10-12 Rachan Rangdee , Patcha Chatraphorn

We study a class of one-dimensional, nonequilibrium, conserved growth equations for both nonconserved and conserved noise statistics using numerical integration. An atomistic version of these growth equations is also studied using…

Statistical Mechanics · Physics 2007-05-23 Buddhapriya Chakrabarti , Chandan Dasgupta

The planar front of a growing a crystal is often destroyed by instabilities. In the case of growth from a condensed phase, the most frequent ones are diffusion instabilities, which will be but briefly discussed in simple terms in chapter…

Materials Science · Physics 2007-05-23 Paolo Politi , Genevieve Grenet , Alain Marty , Anne Ponchet , Jacques Villain

We examine the step dynamics in a 1+1 dimensional model of epitaxial growth based on the BCF-theory. The model takes analytically into account the diffusion of adatoms, an incorporation mechanism and an Ehrlich-Schwoebel barrier at step…

Statistical Mechanics · Physics 2009-10-31 S. Schinzer , S. Köhler , G. Reents

We study, through large scale stochastic simulations using the noise reduction technique, a large number of simple nonequilibrium limited mobility solid-on-solid growth models. We find that d=2+1 dimensional surface growth in several noise…

Statistical Mechanics · Physics 2007-05-23 P. Punyindu , Z. Toroczkai , S. Das Sarma

We report the results of computer simulations of epitaxial growth in the presence of a large Schwoebel barrier on different crystal surfaces: simple cubic(001), bcc(001), simple hexagonal(001) and hcp(001). We find, that mounds coarse by a…

Statistical Mechanics · Physics 2009-10-31 M. Ahr , M. Biehl , M. Kinne , W. Kinzel

We present models of surfaces of crystals in an environment where molecular beam epitaxy (MBE) and related methods of crystal growth like atomic layer epitaxy (ALE) can be performed. Besides detailed models of reconstructed (001) surfaces…

Materials Science · Physics 2007-05-23 Martin Ahr

A solid-on-solid model of epitaxial growth in 1+1 dimensions is investigated in which slope dependent upward and downward particle currents compete on the surface. The microscopic mechanisms which give rise to these currents are the…

Statistical Mechanics · Physics 2009-11-07 M. Biehl , M. Ahr , M. Kinne , W. Kinzel , S. Schinzer

Molecular beam epitaxy enables the growth of thin film materials with novel properties and functionalities. Typically, the lattice constants of films and substrates are designed to match to minimise disorders and strains. However,…

The random deposition model must be enriched to reflect the variety of surface roughness due to some material characteristics of the film growing by vacuum deposition or sputtering. The essence of the computer simulation in this case is to…

Condensed Matter · Physics 2007-05-23 K. Malarz , A. Z. Maksymowicz

The coarsening dynamics of three-dimensional islands on a growing film is discussed. It is assumed that the origin of the initial instability of a planar surface is the Ehrlich-Schwoebel step-edge barrier for adatom diffusion. Two…

Statistical Mechanics · Physics 2015-06-25 Lei-Han Tang

Immense interests in thin-film fabrication for industrial applications have driven both theoretical and computational aspects of modeling its growth with an aim to design and control film's surface morphology. Oftentimes, smooth surface is…

Statistical Mechanics · Physics 2013-09-05 Surachate Limkumnerd

We demonstrate, using well-established nonequilibrium limited-mobility solid-on-solid growth models, that mound formation in the dynamical surface growth morphology does not necessarily imply the existence of a surface edge diffusion bias…

Statistical Mechanics · Physics 2009-10-31 S. Das Sarma , P. Punyindu , Z. Toroczkai

We report the epitaxial growth of PdTe$_2$ ultrathin films on topological insulator Bi$_2$Se$_3$. A prominent Moir\'e pattern was observed in STM measurements. The Moir\'e periodicity increases as film thickness decreases, indicating a…

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Jacob Cook , Dorri Halbertal , Qiangsheng Lu , Mathew Snyder , Yew San Hor , Dmitri N. Basov , Guang Bian

Structural moir\'e superstructures arising from two competing lattices may lead to unexpected electronic behavior, such as superconductivity or Mottness. Most investigated moir\'e heterostructures are based on van der Waals (vdW) materials,…

Materials Science · Physics 2023-05-10 Bing Liu , Tim Wagner , Stefan Enzner , Philipp Eck , Martin Kamp , Giorgio Sangiovanni , Ralph Claessen

The morphological development of step edge patterns in the presence of meandering instability during step flow growth is studied by simulations and numerical integration of a continuum model. It is demonstrated that the kink…

Materials Science · Physics 2009-11-07 M. Rusanen , I. T. Koponen , T. Ala-Nissila , C. Ghosh , T. S. Rahman

Molecular-beam epitaxy (MBE) provides a simple but powerful way to synthesize large-area high-quality thin films and heterostructures of a wide variety of materials including accomplished group III-V and II-VI semiconductors as well as…

Materials Science · Physics 2017-09-12 Masaki Nakano , Yue Wang , Yuta Kashiwabara , Hideki Matsuoka , Yoshihiro Iwasa

A discrete solid-on-solid model of epitaxial growth is introduced which, in a simple manner, takes into account the effect of an Ehrlich-Schwoebel barrier at step edges as well as the local relaxation of incoming particles. Furthermore a…

Condensed Matter · Physics 2009-10-30 M. Biehl , W. Kinzel , S. Schinzer
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