Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-06-30
J. Phys.: Condens. Matter 23 (2011) 292201
Physics
Condensed Matter
Statistical Mechanics
To appear in J. Phys. Cond. Matter; 3 movies as supplementary material
Scientific paper
10.1088/0953-8984/23/29/292201
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 ES barrier explicitly dependent on the step height. Our model has an intrinsic topological step barrier even in the absence of an explicit ES barrier. We show that mounded morphologies can be obtained even for a small barrier while a self-affine growth, consistent with the Villain-Lai-Das Sarma equation, is observed in absence of an explicit step barrier. The mounded surfaces are described by a super-roughness dynamical scaling characterized by locally smooth (faceted) surfaces and a global roughness exponent $\alpha>1$. The thin film limit is featured by surfaces with self-assembled three-dimensional structures having an aspect ratio (height/width) that may increase or decrease with temperature depending on the strength of step barrier.
Ferreira Silvio C.
Ferreira Sukarno O.
Leal F. F.
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