Abstract

Assuming that two of the five branchs of the 3d band intersect, it is shown that singularities result in the transport properties when such an intersection happens to occur at the Fermi level. The ``ferromagnetic anisotropy of resistivity'' Δρ/ρ0 (often called magnetoresistance effect) is expected to have a strong maximum; using Born approximation for impurity scattering, and simple models of the 3d and 4s bands, a detailed computation provides an order of magnitude of 20% for the value of Δρ/ρ0 at the maximum. On the other hand, assuming the validity of current theories of the ``extraordinary Hall conductivity'' γHs due to Smit or to Karplus and Luttinger, γHs may be expected to change sign. This is precisely the behavior of Δρ/ρ0 and γHs observed by Smit in Co-Ni and Fe-Ni alloys, for an electron concentration equal to 27.7 electrons/atom.

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