We have investigated the structure of double quantum dots vertically couple
d at zero magnetic field within local-spin-density functional theory. The d
ots are identical and have a finite width, and the whole system is axially
symmetric; We first discuss the effect of thickness on the addition spectru
m of one single dot. Next we describe the structure of coupled dots as a fu
nction of the interdot distance for different electron numbers. Addition sp
ectra, Hund's rule, and molecular-type configurations are discussed. It is
shown that self-interaction corrections to the density-functional results d
o not play a very important role in the calculated addition spectra.