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A domain wall (DW) which moves parallel to a magnetically compensatedinterface between an antiferromagnetic insulator (AFMI) and a two-dimensional(2D) metal can pump spin polarization into the metal. It is assumed thatlocalized spins of a collinear AFMI interact with itinerant electrons throughtheir exchange interaction on the interface. We employed the formalism ofKeldysh Green's functions for electrons which experience potential andspin-orbit scattering on random impurities. This formalism allows a unifiedanalysis of spin pumping, spin diffusion and spin relaxation effects on a 2Delectron gas. It is shown that the pumping of a nonstaggered magnetization intothe metal film takes place in the second order with respect to the interfaceexchange interaction. At sufficiently weak spin relaxation this pumping effectcan be much stronger than the first-order effect of the Pauli magnetism whichis produced by the small nonstaggered exchange field of the DW. It is shownthat the pumped polarization is sensitive to the geometry of the electron'sFermi surface and increases when the wave vector of the staggered magnetizationapproaches the nesting vector of the Fermi surface. In a disordered diffusiveelectron gas the induced spin polarization follows the motion of the domainwall. It is distributed asymmetrically around the DW over a distance which canbe much larger than the DW width.

Spin pumping by a moving domain wall at the interface of an antiferromagnetic insulator and a two-dimensional metal