Kinetic Monte Carlo simulations of oscillatory shape evolution for electromigration-driven islands

Abstract

The shape evolution of two-dimensional islands under electromigration-driven periphery diffusion is studied by kinetic Monte Carlo (KMC) simulations and continuum theory. The energetics of the KMC model is adapted to the Cu(100) surface, and the continuum model is matched to the KMC model by a suitably parametrized choice of the orientation-dependent step stiffness and step atom mobility. At $700\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ shape oscillations predicted by continuum theory are quantitatively verified by the KMC simulations, while at $500\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ qualitative differences between the two modeling approaches are found.