paper

Damping of Growth Oscillations in Molecular Beam Epitaxy: A Renormalization Group Approach

arXiv:cond-mat/9707247 · doi:10.1051/jp1:1997105

Abstract

The conserved Sine-Gordon Equation with nonconserved shot noise is used to model homoepitaxial crystal growth. With increasing coverage the renormalized pinning potential changes from strong to weak. This is interpreted as a transition from layer-by-layer to rough growth. The associated length and time scales are identified, and found to agree with recent scaling arguments. A heuristically postulated nonlinear term is created under renormalization.

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