We considered the confinement of Ne interacting electrons in a two-dimensional disk shaped quantum dot (QD) and a one-dimensional quantum ring (QR) when an external magnetic field B perpendicular to the device plane is applied. The energy spectra of low-lying states of the nanodevices as functions of B and Ne were obtained by using an Hartree Fock approximation. Phase diagrams in the interaction versus magnetic field plane indicate a rich variety of ground states.
"Spin phases in disk- and ring-shaped quantum dots in a threading magnetic field," Journal of Nanophotonics 4(1), 043508 (1 April 2010). https://doi.org/10.1117/1.3425845