The description of interacting many-electron systems in external magnetic fields is considered in the framework of the optimized effective potential method extended to current-spin-density functional theory. As a case study, a two-dimensional quantum dot in external magnetic fields is investigated. Excellent agreement with the quantum Monte Carlo results is obtained when self-interaction corrected correlation energies from the standard local spin-density approximation are added to exact-exchange results. Full self-consistency within the complete current-spin-density-functional framework is found to be of minor importance.
Helbig, N., Kurth, S., Pittalis, S., Raesaenen, E., & Gross, E. K. U. (2008). Exchange-correlation orbital functionals in current-density functional theory: Application to a quantum dot in magnetic fields. Physical review. B, Condensed matter and materials physics, 77(24). https://doi.org/10.1103/PhysRevB.77.245106 (Original work published 2008)