A number of recent experiments have shown that surfactants can modify
the growth mode of an epitaxial film, suppressing islanding and promot
ing layer-by-layer growth. Here I introduce a set of coupled equations
to describe the nonequilibrium roughening of an interface covered wit
h a thin surfactant layer. The surfactant may drive the system into a
novel phase, in which the surface roughness is negative, corresponding
to a flat surface.