Strong magnetic scattering in weak localization

Theoretical analysis of weak localization for the three dimensional system presently does not include the case with strong scattering by local magnetic impurities. For paramagnetic Fe_0.33 Zr_0.67 alloy, a composition just below the ferromagnetic phase boundary, the magnetic impurity scattering time (τ_s) is estimated to be comparable to the spin-orbit scattering time (τ_so), but much less than the magnetic field dephasing time (τ_H) or inelastic scattering time (τ_i), so that the magnetic scattering occurs before the magnetic field dephasing does. When the local moments of magnetic impurities (in this case some of the Fe ions) do not interact with each other and their magnetization follows the Brillouin function, the magneto-resistance MR is proportional to n_s^1/2(H/T)² for small (H/T), where n _S is the density of local impurities of moment gSμ_B , and Δp(H,T)/p² should be a unique function of (H/T), for a given alloy so long as the impurities are in the Curie regime. Experimental values of the MR at several temperatures for the Fe _0.33Zr_0.67 alloy lie on a single curve of Δp(H,T)/p² vs. H/T