N. Barberan, Ground-state self-consistent calculation of quantum dots under magnetic fields: Addition spectrum, PHYS REV B, 58(19), 1998, pp. 12970-12979
A density-functional self-consistent calculation of the ground-state electr
onic density of quantum dots under an arbitrary magnetic field is performed
. We consider a parabolic lateral confining potential. The addition energy,
E(N+1)- E(N), where N is the number of electrons, is compared with experim
ental data and the different contributions to the energy are analyzed. The
Hamiltonian is modeled by a density functional, which includes the exchange
and correlation interactions and the local formation of Landau levels for
different equilibrium spin populations. We obtain an analytical expression
for the critical density under which spontaneous polarization, induced by t
he exchange interaction, takes place. [S0163-1829(98)07740-6].