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The modified Becke-Johnson exchange potential F. Tran and P. Blaha, Phys. Rev. Lett. 102, 226401 (2009) (TB-mBJ) is tested on various types of solids which are difficult to describe theoretically: nonmagnetic semiconducting transition-metal oxides and sulfides, metals (Fe, Co, Ni, and Cu), and (anti) ferromagnetic insulators (e. g. , YBa₂Cu₃O₆). The results for the band gap and other quantities such as the magnetic moment or electric field gradient are analyzed in detail, in particular to have a better understanding of the mechanism which leads to improved (or sometimes worse) results with the TB-mBJ potential compared to the standard local density and generalized gradient approximations.
Koller et al. (Tue,) studied this question.