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We studied the step dynamics during sublimation and growth in the presence of electromigration force acting on the adatoms. In the limit of fast surface diffusion and slow kinetics of atom attachment-detachment at the steps we formulate a…

化学物理 · 物理学 2009-11-13 Bogdan Ranguelov , Stoyan Stoyanov

We studied the step dynamics during crystal sublimation and growth in the limit of fast surface diffusion and slow kinetics of atom attachment-detachment at the steps. For this limit we formulate a model free of the quasi-static…

化学物理 · 物理学 2009-11-13 Bogdan Ranguelov , Stoyan Stoyanov

In order to study the unstable step motion on vicinal crystal surfaces we devise vicinal Cellular Automata. Each cell from the colony has value equal to its height in the vicinal, initially the steps are regularly distributed. Another array…

We approach the old-standing problem of vicinal crystal surfaces destabilized by step-down and step step-up currents from a unified modelling viewpoint with focus on both the initial and the intermediate stages of the instability. We…

By taking account of the alternation of structural parameters, we study bunching of impermeable steps induced by drift of adatoms on a vicinal face of Si(001). With the alternation of diffusion coefficient, the step bunching occurs…

材料科学 · 物理学 2009-11-10 Masahide Sato , Makio Uwaha , Tomonori Mori , Yukio Hirose

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…

材料科学 · 物理学 2009-10-31 J. Heinonen , I. Bukharev , T. Ala-Nissila , J. M. Kosterlitz

We analyze the dynamics of crystal surfaces in the presence of electromigration. From a phase field model with a migration force which depends on the local geometry, we derive a step model with additional contributions in the kinetic…

统计力学 · 物理学 2009-11-11 O. Pierre-Louis

Coarse-grained modeling of dynamics on vicinal surfaces concentrates on the diffusion of adatoms on terraces with boundary conditions at sharp steps, as first studied by Burton, Cabrera and Frank (BCF). Recent electromigration experiments…

材料科学 · 物理学 2009-11-10 T. Zhao , J. D. Weeks , D. Kandel

This paper investigates faceting mechanisms induced by electromigration in the regime where atomic steps are transparent. For this purpose we study several vicinal orientations by means of in-situ (optical diffraction, electronic…

材料科学 · 物理学 2011-11-10 F. Leroy , P. Muller , J. J. Metois , O. Pierre-Louis

The growth of crystal surfaces, under non-equilibrium conditions, involves the displacement of mono-atomic steps by atom diffusion and atom incorporations into steps. The time-evolution of the growing crystal surface is thus governed by a…

材料科学 · 物理学 2009-11-11 Thomas Frisch , Alberto Verga

We investigate the nonlinear evolution of the Bales-Zangwill instability, responsible for the meandering of atomic steps on a growing vicinal surface. We develop an asymptotic method to derive, in the continuous limit, an evolution equation…

材料科学 · 物理学 2014-06-17 Alberto Verga

We study the behavior of single atoms on an infinite vicinal surface assuming certain degree of step permeability. Assuming complete lack of re-evaporation an ruling out nucleation the atoms will inevitably join kink sites at the steps but…

其他凝聚态物理 · 物理学 2018-02-14 Bogdan Ranguelov , Ivan Markov

Burton-Cabrera-Frank (BCF) theory has proven to be a versatile framework to relate surface morphology and dynamics during crystal growth to the underlying mechanisms of adatom diffusion and attachment at steps. For an important class of…

The meander instability of a vicinal surface growing under step flow conditions is studied within a solid-on-solid model. In the absence of edge diffusion the selected meander wavelength agrees quantitatively with the continuum linear…

统计力学 · 物理学 2009-11-07 Jouni Kallunki , Joachim Krug , Miroslav Kotrla

We study the step bunching kinetic instability in a growing crystal surface characterized by anisotropic diffusion. The instability is due to the interplay between the elastic interactions and the alternation of step parameters. This…

统计力学 · 物理学 2009-11-11 T. Frisch , A. Verga

We study the dynamics of adatoms in a model of vicinal (11m) fcc metal surfaces. We examine the role of different diffusion mechanisms and their implications to surface growth. In particular, we study the effect of steps and kinks on adatom…

凝聚态物理 · 物理学 2009-10-28 J. Merikoski , T. Ala-Nissila

We devise a new 1D atomistic scale model of vicinal growth based on Cellular Automaton. In it the step motion is realized by executing the automaton rule prescribing how adatoms incorporate into the vicinal crystal. Time increases after…

材料科学 · 物理学 2017-09-13 F. Krzyżewski , M. Załuska-Kotur , A. Krasteva , H. Popova , V. Tonchev

With a Si(001) vicinal surface in mind, we study step wandering instability on a vicinal surface with an anisotropic surface diffusion whose orientation dependence alternates on each consecutive terrace. In a conserved system step wandering…

材料科学 · 物理学 2013-05-29 M. Sato , M. Uwaha , Y. Saito , Y. Hirose

A sublimating vicinal crystal surface can undergo a step bunching instability when the attachment-detachment kinetics is asymmetric, in the sense of a normal Ehrlich-Schwoebel effect. Here we investigate this instability in a model that…

统计力学 · 物理学 2015-05-18 Marian Ivanov , Vladislav Popkov , Joachim Krug

We consider the growth of a vicinal crystal surface in the presence of a step-edge barrier. For any value of the barrier strength, measured by the length l_es, nucleation of islands on terraces is always able to destroy asymptotically…

统计力学 · 物理学 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi
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