Linear theory of unstable growth on rough surfaces
| dc.creator | Krug, Joachim | |
| dc.creator | Rost, Martin | |
| dc.date | 1999-01-14 | |
| dc.date | 1999-10-12 | |
| dc.date.accessioned | 2026-07-07T03:12:38Z | |
| dc.date.available | 2026-07-07T03:12:38Z | |
| dc.description | Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width $W(t)$ is governed by three length scales: The characteristic scale $l_0$ of the substrate roughness, the terrace size $l_D$ and the Ehrlich-Schwoebel length $l_{ES}$. If $l_{ES} \ll l_D$ (weak step edge barriers) and $l_0 \ll l_m \sim l_D \sqrt{l_D/l_{ES}}$, then $W(t)$ displays a minimum at a coverage $θ_{\rm min} \sim (l_D/l_{ES})^2$, where the initial surface width is reduced by a factor $l_0/l_m$. The rôle of deposition and diffusion noise is analyzed. The results are applied to recent experiments on the growth of InAs buffer layers [M.F. Gyure {\em et al.}, Phys. Rev. Lett. {\bf 81}, 4931 (1998)]. The overall features of the observed roughness evolution are captured by the linear theory, but the detailed time dependence shows distinct deviations which suggest a significant influence of nonlinearities. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9901132 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9901132 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28981 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Materials Science | |
| dc.title | Linear theory of unstable growth on rough surfaces | |
| dc.type | text |