Atomic-like properties of vertical quantum dots are studied by measuri
ng Coulomb oscillations. The Coulomb oscillations in the linear transp
ort regime become irregular in period, reflecting a shell structure an
d the obedience to Hund's rule, as the number of electrons in the dot
approaches zero. Under a high magnetic field, many-body effects become
important, and we observe kink structures in the few-electron regime
in the Coulomb oscillation peak positions versus the magnetic field. T
he kink structures are well assigned to transition in spin and angular
momentum states, which we predict by the exact diagonalization approa
ch. (C) 1998 Elsevier Science B.V. All rights reserved.