Using the Car-Parrinello scheme, we study atomic ordering of Ge(Si) on a do
uble-layer, stepped Si(Ge)(001) surface. We introduce a rebonded Dg step to
find a stable absorption site of the Ge(Si) atoms. We find that the Si ato
ms on a Ge surface favor subsurface sites near the step edge. The total ene
rgy is lowered by the rebonded atom forming an asymmetry, which increases t
he dehybridization on the rebonded atom. This leads to a compositional orde
ring along the direction of the dimer row. We will also show that the simpl
e Vegard law is not always obeyed at the interface, in particular, in the i
nitial growth process.