Prediction of momentum dependent spin splitting in antiferromagnetic compounds without spin-orbit coupling

The Conventional way of creating spin splitting entails the involvement of spin orbit coupling (SOC). The latter entails heavy elements that lead to weak bonds and undesirable defects. Can one generate spin splitting without relying on SOC? We identify the magnetic symmetry conditions that produce AFM prototypes having spin splitting even at TRIM points without external magnetic field and even when SOC is set to zero. The resulting spin splitting in AFM arises from the coupling between electron spin and the position coordinates which is k dependent and of the same order as the Thomas term. Band structures of specific compounds are worked out within DFT showing the effects.