Anisotropic magnetoresistance with cubic anisotropy and weak ferromagnetism: A new paradigm

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Abstract
Earlier atomic d-state models of anisotropic magnetoresistance Δρ/ρ are reviewed and found to suffer from a weak-ferromagnetism ‘‘catastrophe:’’ a nonphysical finite value of Δρ/ρ as exchange splitting goes to zero. New calculations of Δρ/ρ, including cubic anisotropy, avoid this problem and offer a new paradigm for interpreting experiments on systems with various band structures: dilute polycrystalline nickel alloys with virtual-bound-state (VBS) and non-VBS impurities, and also weak concentrated ferromagnets like Fe-Ni Invar. p states are also found to give nonzero Δρ/ρ in an atomic model.