Exchange-correlation orbital functionals in current-density-functional   theory: Application to a quantum dot in magnetic fields
  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 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. 
N. Helbig, S. Kurth, S. Pittalis, E. R\"as\"anen, E.K.U. Gross