  Spin-orbit coupling induces a current density in the ground state, which
consequently requires a generalization for meta-generalized gradient
approximations. That is, the exchange-correlation energy has to be constructed
as an explicit functional of the current density and a generalized kinetic
energy density has to be formed to satisfy theoretical constraints. Herein, we
generalize our previously presented formalism of spin-orbit current density
functional theory [Holzer et al., J. Chem. Phys. 157, 204102 (2022)] to
non-magnetic and magnetic periodic systems of arbitrary dimension. Besides the
ground-state exchange-correlation potential, analytical derivatives such as
geometry gradients and stress tensors are implemented. The importance of the
current density is assessed for band gaps, lattice constants, magnetic
transitions, and Rashba splittings. For the latter, the impact of the current
density may be larger than the deviation between different density functional
approximations.
