A number of recent experiments have shown that surfactants can modify the growth mode of an epitaxial film, suppressing islanding and promoting layer-by-layer growth. Here a set of coupled equations are introduced to describe the coupling between a growing interface and a thin surfactant layer deposited on the top of the non-equilibrium surface. The equations are derived using the main experimentally backed characteristics of the system and basic symmetry principles. The system is studied using a dynamic-renormalization-group scheme, which provides scaling relations between the roughness exponents. It is found that the surfactant may drive the system into a novel phase, in which the surface roughness is negative, corresponding to a flat surface.
ALBERT-LÁSZLÓ BARABÁSI (1993). SURFACTANT-MEDIATED SURFACE GROWTH: NONEQUILIBRIUM THEORY. , 01(04), 846-859. https://doi.org/10.1142/s0218348x93000873