Ground- and excited-state properties of vertically coupled double quantum d
ots are studied by exact diagonalization. Magic-number total angular moment
that minimize the total energy are found to reflect a crossover between el
ectron configurations dominated by intralayer correlation and those dominat
ed by interlayer correlation. The position of the crossover is governed by
the strength of the interlayer electron tunneling and magnetic field. The m
agic numbers should have an observable effect on the far-infrared optical-a
bsorption spectrum, since Kohn's theorem [Phys. Rev. 123, 1242 (1961)] does
not hold when the confinement potential is different for two dots. This is
indeed confirmed here from a numerical calculation that includes Landau-le
vel mixing. Our results take full account off the effect of spin degrees of
freedom. A key feature is that the total spin S of the system and the magi
c-number angular momentum are intimately linked because of strong electron
correlation. Thus S jumps hand in hand with the total angular momentum as t
he magnetic field is varied. One important consequence of this is that the
spin blockade (an inhibition of single-electron tunneling) should occur in
some magnetic field regions because of a spin selection rule,Owing to the f
lexibility arising from the presence of both intralayer and interlayer corr
elations, the spin blockade is easier to realize in double dots than in sin
gle dots. [S0163-1829 (99)04408-2].