We have investigated the self-assembled InAs dot growth on patterned (100),
(111)B, and (311)A GaAs substrates in order to obtain facet preferential c
haracteristics among various facets for the purpose of better position cont
rol of the dots for possible applications to the electronic and photonic de
vices. The self-assembled InAs dots were found to grow selectively in the b
ottom of the tetrahedral etch-pits or on certain ridges or valleys or slope
s of grooved surfaces in a regular fashion. Some common preference relation
ships among different original orientation of the substrate were consistent
with each other. The physical origin of the preference is explained by the
combination of difference in number of bonds on different surfaces and the
accommodation of strains by surface misfit dislocations.