A class of orbital-dependent exchange-correlation potentials for applications in noncollinear spin-density-functional theory is developed. Starting from the optimized effective potential formalism for the exact exchange potential—generalized to the noncollinear case—correlation effects are added via a self-consistent procedure inspired by the Singwi-Tosi-Land-Sjölander method. The orbital-dependent exchange-correlation potentials are applied to the Hubbard dimer in uniform and noncollinear magnetic fields and compared to exact diagonalization and to the Bethe-ansatz local spin-density approximation. The Singwi-Tosi-Land-Sjölander method gives the overall best performance for total energies, densities, and magnetizations, particularly in the weakly to moderately correlated regime.

• Received 15 May 2018
• Revised 7 July 2018

DOI:https://doi.org/10.1103/PhysRevB.98.035140