  We theoretically show that materials with perovskite-type crystal structures
provide a platform for spin current generation, taking advantage of a mechanism
requiring neither the spin-orbit coupling nor a ferromagnetic moment, but is
based on spin-split band structures in certain kinds of collinear
antiferromagnetic states. By investigating a multiband Hubbard model for
transition metal compounds by means of the Hartree-Fock approximation and the
Boltzmann transport theory, we find that a pure spin current is induced by an
electric field applied to a C-type antiferromagnetic metallic phase. The spin
current generation originates from a cooperative effect of spatially
anisotropic electron transfer integrals owing to the GdFeO$_3$-type lattice
distortion, which is ubiquitous in many perovskites, and the collinear spin
configuration. We discuss our finding from the symmetry point of view, in
comparison with other spin current generator candidates with collinear
antiferomagnetism. We also propose several ways to detect the phenomenon in
candidate perovskite materials.
