Initial growth processes of Si on the Si(001) surface are investigated
by studying the stability of various ad-Si clusters and calculating e
nergy barriers for some fundamental processes by using a first-princip
les method. An ad-Si perpendicular dimer on top of a substrate dimer r
ow is formed easily and is the most stable among dimers, consistent wi
th experiment. The dimer can be a diffusing unit at high temperatures
but cannot be a nucleus for dimer row growth at lower temperatures. On
the other hand, a quasistable parallel dimer in a trough attracts mon
omers and can be the nucleus of a diluted-dimer row.