Interplay between kinetic roughening and phase ordering

We studied the interplay between kinetic roughening and phase ordering in a (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 the interaction between species, scaling exponents are enhanced and ordering on the surface is observed. However, after a 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 coupling, ordering in the vertical direction is present and leads to a columnar structure persisting for a long time.