A Monte Carlo model has been used to study surface growth in thin film
epitaxy. The model accounts for atom attachment, detachment, and surf
ace diffusion. By varying the deposition temperature and impingement r
ate, we have explored the surface roughening transition in a nonequili
brium situation and the conditions under which normal, lateral, and st
ep flow growth occurs. The results show that reentrant oscillation occ
urs as a result of the variation of surface diffusion length with depo
sition temperature, and that it is a natural phenomenon in kinetic thi
n film deposition on substrates with permanent steps. We have also exa
mined the morphological instability in step flow growth and found that
it is related to the step height. Steps with multi-atomic layers are
seen to be less stable in a surface diffusion field, due to a decrease
in the attachment rate of growth units from the upper terrace.