Influence of a driven magnetic domain wall on resistivity in a thin ferromagnetic wire

We study the domain wall (DW) resistivity in a thin wire of disordered ferr omagnetic metal, in the presence of an ac magnetic field with the frequency omega (ex) applied parallel to the wire. Periodic, oscillations of a DW dr iven by the magnetic field induce spin-flip electron scattering, which incr eases the resistivity, particularly when omega (ex) is nearly equal to the attempt frequency omega (0) of the DW. We calculate the negative correction delta sigma to local conductivity due to the spin-flip electron scattering at zero temperature. We find that the correction arising inside the DW reg ion is given by delta sigma/sigma (0) proportional to -1/[(1 - omega (ex)/o mega (0))(2) + (eta/omega (0))(2)], where eta is the friction coefficient f or the DW motion and sigma (0) the Drude conductivity. This result indicate s that we can estimate the important parameters omega (0) and eta for DW dy namics by measuring the resistivity as a function of omega (ex).