We theoretically study the spin and charge currents induced by a spin-motive force in a two-dimensional Dirac semimetal protected by nonsymmorphic symmetries. Glide mirror plane symmetry, a nonsymmorphic symmetry, leads to a constraint to the induced current; the spin-motive force acting on out-of-plane spin (in-plane spin) induces the pure spin (charge) current. We calculate the response function to the spin-motive force in linear-response theory and find that the conductivity for the pure spin current remains nonzero even if the Fermi energy is crossing the node of linear dispersion. We also find that the conserved spin current is induced at the charge neutral point.

• Received 15 February 2017
• Revised 2 June 2017

DOI:https://doi.org/10.1103/PhysRevB.96.085440