Role of electron correlations in transport through domain walls in magnetic nanowires

The transmission of correlated electrons through a domain wall in ferromagnetic quasi-one-dimensional systems is studied theoretically in the case when the domain wall width is comparable with the Fermi wavelength of the charge carriers. The wall gives rise to both potential and spin dependent scattering. Using a poor man's renormalization group approach, we obtain scaling equations for the scattering amplitudes. For repulsive interactions, the wall is shown to reflect all incident electrons at the zero temperature fixed points. In one of the fixed points the wall additionally flips the spin of all incident electrons, generating a finite spin current without associated charge current.