English
Related papers

Related papers: Step Repulsion Mediates Wandering on a Si(001) Vic…

200 papers

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…

Statistical Mechanics · Physics 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi

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…

Materials Science · Physics 2009-11-10 T. Zhao , J. D. Weeks , D. Kandel

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…

Materials Science · Physics 2009-11-10 Masahide Sato , Makio Uwaha , Tomonori Mori , Yukio Hirose

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…

Growth of gallium nitride on GaN(0001) surface is modeled by Monte Carlo method. Simulated growth is conducted in N-rich conditions, hence it is controlled by Ga atoms surface diffusion. It is shown that dominating four-body interactions of…

Materials Science · Physics 2015-05-19 Magdalena A. Załuska-Kotur , Filip Krzyżewski , Stanisław Krukowski

Two kinds of configurations involving steps on surfaces are reviewed. The first one results from an initially planar vicinal surface, i.e. slightly deviating from a high-symmetry (001) or (111) orientation. In some cases, these surfaces…

Statistical Mechanics · Physics 2007-05-23 Anna Chame , Sylvie Rousset , Hans P. Bonzel , Jacques Villain

We study the onset and development of ledge instabilities during growth of vicinal metal surfaces using kinetic Monte Carlo simulations. We observe the formation of periodic patterns at [110] close packed step edges on surfaces vicinal to…

Condensed Matter · Physics 2009-11-07 M. Rusanen , I. T. Koponen , J. Heinonen , T. Ala-Nissila

We report for the first time the observation of bunching of monoatomic steps on vicinal W(110) surfaces induced by step up or step down currents across the steps. Measurements reveal that the size scaling exponent {\gamma}, connecting the…

The quasistatic approximation is a useful but questionable simplification for analyzing step instabilities during the growth/evaporation of vicinal surfaces. Using this approximation, we characterized in Part I of this work the effect on…

Materials Science · Physics 2021-08-25 L. Guin , M. E. Jabbour , L. Shaabani-Ardali , N. Triantafyllidis

The morphology of a growing crystal surface is studied in the case of an unstable two-dimensional step flow. Competition between bunching and meandering of steps leads to a variety of patterns characterized by their respective instability…

Statistical Mechanics · Physics 2012-07-19 A. Verga

Step meandering instability in a Burton-Cabrera-Frank (BCF)-type model for the growth of an isolated, atomically high step on a crystal surface is analyzed. It is assumed that the growth is sustained by the molecular precursors deposition…

Materials Science · Physics 2015-06-18 Mikhail Khenner

The dynamics of steps on crystal surfaces is considered. In general, the meandering of the steps obeys a subdiffusive behaviour. The characteristic asymptotic time laws depend on the microscopic mechanism for detachment and attachment of…

Condensed Matter · Physics 2009-10-31 W. Selke , M. Bisani

Step pattern stability of the vicinal surfaces during growth was analyzed using various surface kinetic models. It was shown that standard analysis of the vicinal surfaces provides no indication on the possible step coalescence and…

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…

Statistical Mechanics · Physics 2015-05-18 Marian Ivanov , Vladislav Popkov , Joachim Krug

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…

Materials Science · Physics 2009-11-11 Thomas Frisch , Alberto Verga

We report numerical results for two models of vicinal motion. The first, LW, aims at crystal evaporation when the detachment from steps is slow [Liu and Weeks, PRB 57, 23 (1998) 14891]. The source of destabilization is electromigration…

Materials Science · Physics 2010-05-06 Diana Staneva , Bogdan Ranguelov , Vesselin Tonchev

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…

Chemical Physics · Physics 2009-11-13 Bogdan Ranguelov , Stoyan Stoyanov

Two mechanisms for the breakdown of step flow growth, in the sense of the appearance of steps of opposite sign to the original vicinality, are studied by kinetic Monte Carlo simulations and scaling arguments. The first mechanism is the…

Statistical Mechanics · Physics 2009-11-10 J. Kallunki , J. Krug

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…

Statistical Mechanics · Physics 2009-11-11 O. Pierre-Louis

We use kinetic Monte Carlo simulations to understand growth- and etching-induced step bunching of 6H-SiC{0001} vicinal surfaces oriented towards [1-100] and [11-20]. By taking account of the different rates of surface diffusion on three…

Materials Science · Physics 2009-09-30 Valery Borovikov , Andrew Zangwill