Analysis of the Equilibrium Crystal Shape by the Diagonal Terrace-Step-Kink Models with Non-SOS Type Steps

Abstract

The terrace-step-kink (TSK) model is the simplest model to describe the crystal surface. In ordinary TSK models, step is always regarded as one-dimensional interface with in-plane solid-on-solid (SOS) condition. In the present article we introduce an extended TSK model where the non-SOS type step excitations are allowed and investigate the crystal surface profile. The model is shown to have the two universal properties at the facet edge: the Gruber-Mullins-Pokrovsky-Talapov behavior and the universal Gaussian curvature jump.