The microscopic origin of compact triangular islands on close-packed surfaces is identified using kinetic Monte Carlo simulations with energy barriers obtained from density-functional calculations. In contrast to earlier accounts, corner diffusion anisotropy is found to control the shape of compac$ĩ slands at intermediate temperatures.-CEIVEE We rationalize the correlation between the orientation 6P L dendrites grown at low temperatures and triangular islands grown at higher temperatures, and explain why in some systems dendrites grow fat before turning compact. 66~30.Fq, 68.35.Fx, Epitaxial growth of metals is governed by a handful of elementary atomic diffusion processes, where motion of atoms along and across clusters of adsorbed atoms is inherently different from diffusion on plain terraces [1,2]. In particular, sites of low coordination and symmetry do not only always influence growth, but very often directly control it [3]. For example, diffusion processes at kinks and corners define the shape of atomic aggregates [3], the mechanism by which these migrate across the surface [3,4], and the very growth mode itself [5]. Here low-symmetry diffusion processes are shown to have additional important roles, and three outstanding morphology issues in epit axial growth are resolved.
JUL 2 \ t$lgIn a seminal scanning-tunneling-microscopy (STM) study of homoepitaxial growth of Pt (1 11), Michely and coworkers [6] observed several beautiful transitions in surface morphology upon increasing the substrate temperature T. Focusing on compact island shapes, triangular islands bounded by A-steps at 400 K were observed to become inverted at 640 K, bounded by B-steps (see Fig. 1 for clarification of step types). A simple explanation fon triangular islands was proposed by Michely et at. [6]: growing islands should advance faster perpendicular to steps with lower adatom mobility. Accordingly, islands would tend to become triangular, with the faster growing steps disappearing. The shape transition from A-to Bstep-bounded islands was attributed to a cross-over in the rate for diffusion of atoms along the two types of steps. Specifically, an anisotropy in both activation barriers and prefactors for edge diffusion was proposed to induce a cross-over in the relative growth speed of these steps, inverting the triangular islands. Density-functional calculations for A1/Al(ll 1) by Stumpf and Scheffler [71indeed do show anisotropic edge diffusion, with barriers for diffusion along A-and B-steps of 0.32 and 0.39-0.42 eV, respectively. With the additional (and vaguely motivated) assumption of a 100 times larger prefactor for edge diffusion along B-steps, the shape transition, experiment ally observed for Pt/Pt (111) [6], could be qualitatively reproduced in kinetic Monte Carlo (KMC) simulations of Al(lll) growth [8].By resealing semi-empirically calculated energy barriers for Pt/Pt(111), Jacobsen and coworkers [9] have been able to find a parameter set that reproduces the experimentally observed transitions, but with the governing aniso...