  We studied interplay between kinetic roughening and phase ordering in 1+1
dimensional single-step solid-on-solid growth model with two kinds of particles
and Ising-like interaction. Evolution of both geometrical and compositional
properties was investigated by Monte Carlo simulations for various strengths of
coupling. We found that the initial growth is strongly affected by interaction
between species, scaling exponents are enhanced and the ordering on the surface
is observed. However, after certain time, ordering along the surface stops and
the scaling exponents cross over to exponents of the Kardar-Parisi-Zhang
universality class. For sufficiently strong strength of coupling, ordering in
vertical direction is present and leads to columnar structure persisting for a
long time.
