  The separate and combined influences of the spin-orbit and electron-electron
interactions on the electron magnetization in quantum rings have been studied
theoretically on the basis of the spin-density-functional theory and the
Kohn-Sham equation used for the calculation of electron states in
two-dimensional parabolic quantum rings containing from two to six electrons.
The magnetization of electrons in a quantum ring is calculated at zero
temperature. The revealed abrupt changes in the ring magnetization are
associated with the crossing of electron states that occurs if the spin-orbit
and/or electron-electron interactions are taken into consideration.
