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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

Recently, the nucleation rate on top of a terrace during the irreversible growth of a crystal surface by MBE has been determined exactly. In this paper we go beyond the standard model usually employed to study the nucleation process, and we…

Materials Science · Physics 2007-05-23 Paolo Politi , Claudio Castellano

We study a minimal stochastic model of step bunching during growth on a one-dimensional vicinal surface. The formation of bunches is controlled by the preferential attachment of atoms to descending steps (inverse Ehrlich-Schwoebel effect)…

Statistical Mechanics · Physics 2009-11-10 Frantisek Slanina , Joachim Krug , Miroslav Kotrla

We study the evolution of step bunches on vicinal surfaces using a thermodynamically consistent step-flow model that (i) circumvents the quasistatic approximation that prevails in the literature by accounting for the dynamics of adatom…

Materials Science · Physics 2021-10-04 Lucas Benoit--Maréchal , Michel E. Jabbour , Nicolas Triantafyllidis

Motivated by the recent investigations on instabilities caused by Schwoebel barriers during growth and their effects on growth or sublimation by step flows, we have investigated, using the Stillinger-Weber potential, how this step edge…

Condensed Matter · Physics 2009-10-28 S. Kodiyalam , K. E. Khor , S. Das Sarma

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…

Materials Science · Physics 2011-11-10 F. Leroy , P. Muller , J. J. Metois , O. Pierre-Louis

We study the dynamics of a kink in a one-lane asymmetric simple exclusion process with detachment and attachment of the particle at arbitrary sites. For a system with one site of detachment and attachment we find that the kink is trapped by…

Statistical Mechanics · Physics 2009-11-11 Tetsuya Mitsudo , Hisao Hayakawa

Atomic mechanism of the bulk and surface point defect generation and annihilation on surface sinks is considered theoretically on the base of the Burton, Cabrera and Frank model. We show that the creation and annihilation of…

Materials Science · Physics 2019-10-01 S. S. Kosolobov

This study presents a comprehensive and innovative exploration of how the surface potential energy landscape influences meander formation. Using the Vicinal Cellular Automaton model, which distinguishes surface diffusion from adatom…

Mesoscale and Nanoscale Physics · Physics 2025-04-04 Marta A. Chabowska , Hristina Popova , Magdalena A. Załuska-Kotur

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…

Materials Science · Physics 2014-06-17 Alberto Verga

Normal incidence 1 keV Ar$^+$ ion bombardment leads to amorphization and ultrasmoothing of Ge at room temperature, but at elevated temperatures the Ge surface remains crystalline and is unstable to the formation of self-organized nanoscale…

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

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

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

Scalar wave propagation across a semi-infinite step or step-like discontinuity on any one boundary of the square lattice waveguides is considered within nearest-neighbour interaction approximation. An application of the Wiener-Hopf method…

Classical Physics · Physics 2023-12-21 Basant Lal Sharma

This work provides a ground for a quantitative interpretation of experiments on step bunching during sublimation of crystals with a pronounced Ehrlich-Schwoebel (ES) barrier in the regime of weak desorption. A strong step bunching…

Materials Science · Physics 2009-11-10 Joachim Krug , Vesselin Tonchev , Stoyan Stoyanov , Alberto Pimpinelli

Energy barriers for different moves of a single Rh adatom in the vicinity of steps on Rh(111) surface are studied with molecular statics. Interatomic interactions are modeled by the semi-empirical many-body Rosato-Guillope-Legrand…

Materials Science · Physics 2016-08-31 F. Maca , M. Kotrla , O. S. Trushin

We report scanning tunneling microscopy studies of individual adatoms deposited on an InSb(110) surface. The adatoms can be reproducibly dropped off from the STM tip by voltage pulses, and impact tunneling into the surface by up to ~100x.…

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…

Materials Science · Physics 2013-05-29 M. Sato , M. Uwaha , Y. Saito , Y. Hirose

Structural disorder causes materials surface electronic properties, e.g. work function ($\phi$) to vary spatially, yet it is challenging to prove exact causal relationships to underlying ensemble disorder, e.g. roughness or granularity. For…