In this paper we discuss our recent results on the homoepitaxial growth of
GaAs from beams of Ga and As-2((4)) and of InAs on GaAs from In and As-2((4
)) beams. Experimental measurements are based on in-situ reflection high en
ergy electron diffraction (RHEED) and scanning tunnelling microscopy (STM),
while their analysis relies on kinetic Monte Carlo (KMC) simulations and t
he application of rate equations. We emphasise the comparative behaviour on
all three low-index substrate orientations and the importance of surface r
econstruction. Wherever possible we use an atomistic approach and in the ho
moepitaxial studies we are principally concerned with nucleation effects oc
curring at the sub-monolayer stage, including site-specific adatom incorpor
ation and arsenic molecule dissociation pathways, especially the essential
requirement of a mobile precursor state. Some results for vicinal plane gro
wth are also presented. In the case of the InAs system, we have investigate
d strain relaxation processes using STM images, while specifically for grow
th on GaAs(001)-2 x 4 and c(4 x 4) surfaces we have studied the formation o
f so-called self assembled quantum dots (SADs) in relation to the classical
Stranski-Krastanov mechanism and the associated strain effects. Although i
t is frequently stated that this accounts fully for dot formation, we have
found many anomalies and believe the process, and indeed the final structur
es, to be much more complex than generally believed. (C) 1999 Elsevier Scie
nce S.A. All rights reserved.