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A new class of orbital-dependent exchange-correlation (xc) potentials forapplications in noncollinear spin-density-functional theory is developed.Starting from the optimized effective potential (OEP) formalism for the exactexchange potential - generalized to the noncollinear case - correlation effectsare added via a self-consistent procedure inspired by theSingwi-Tosi-Land-Sjolander (STLS) method. The orbital-dependent xc potentialsare applied to the Hubbard dimer in uniform and noncollinear magnetic fieldsand compared to exact diagonalization and to the Bethe-ansatz localspin-density approximation. The STLS gives the overall best performance fortotal energies, densities and magnetizations, particularly in the weakly tomoderately correlated regime.

physical review. b./physical review. b

Density-functional theory for systems with noncollinear spin:  orbital-dependent exchange-correlation functionals and their application to  the Hubbard dimer