The Becke–Roussel (BR) potential
[Phys. Rev. A1989, 39, 3761] was proposed as an
approximation to the Slater potential, which is the Coulomb potential
generated by the exact exchange hole. In the present work, a detailed
comparison between the Slater and BR potentials in solids is presented.
It is shown that the two potentials usually lead to very similar results
for the electronic structure; however, in a few cases, e.g., Si, Ge,
or strongly correlated systems like NiO, the fundamental band gap
or magnetic properties can differ markedly. Such differences should
not be neglected when the computationally expensive Slater potential
is replaced by the cheap semilocal BR potential in approximations
to the exact-exchange Kohn–Sham potential, such as the one
proposed by Becke and Johnson [J. Chem. Phys.2006, 124, 221101].