Different types of scaling in epitaxial growth

Brendel, Lothar; Schindler, Axel; Driesch, Michael von den; Wolf, Dietrich E.

doi:10.1016/s0010-4655(02)00227-8

Cited by 5 publications

(1 citation statement)

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“…However, the weaker the Ehrlich-Schwoebel barrier is, the later the instability sets in. One observes damped layer-by-layer ͒ [26], where ᐉ s is the so-called Schwoebel length and is a measure for the strength of the Ehrlich-Schwoebel barriers. If t is larger than the width H of the interdiffusion zone calculated in this paper without Ehrlich-Schwoebel barriers, the Villain instability sets in too late to change the results we obtained.…”

Section: Discussionmentioning

confidence: 99%

Interfacial mixing in heteroepitaxial growth

et al. 2004

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We investigate the growth of a film of some element B on a substrate made of another substrance A in a model of molecular beam epitaxy. A vertical exchange mechanism allows the A-atoms to stay on the growing surface with a certain probability. Using kinetic Monte Carlo simulations as well as scaling arguments, the incorporation of the A's into the growing B-layer is investigated. Moreover we develop a rate equation theory for this process. In the limit of perfect layer-by-layer growth, the density of A-atoms decays in the B-film like the inverse squared distance from the interface. The power law is cut off exponentially at a characteristic thickness of the interdiffusion zone that depends on the rate of exchange of a B-adatom with an A-atom in the surface and on the system size. Kinetic roughening changes the exponents. Then the thickness of the interdiffusion zone is determined by the diffusion length.Comment: 11 pages, 11 figure

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Section: Discussionmentioning

confidence: 99%