  We study a model quantum dot system in an external magnetic field by using
both the spin-density-functional theory and the current-spin-density-functional
theory. The theories are used with local approximations for the spin-density
and the vorticity. The reliabilities of different parametrizations for the
exchange-correlation functionals are tested by comparing the ensuing energetics
with quantum Monte Carlo results. The limit where the vorticity dependence
should be used in the exchange-correlation functionals is discussed.
