Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism

The authors explore here the spin-order-induced physical properties free of relativistic spin-orbit coupling. They delve into the role of spin crystallographic symmetry in disentangling spin and orbital freedoms, shedding light on contrasting aspects between magnets with zero and nonzero propagation vectors. The analysis is applied to the systematic classification of 1500 magnets in terms of electromagnetic responses arising from the spin order, making significant contributions to future explorations of spintronic phenomena based on antiferromagnets.