Anisotropic magnetoresistance effect: General expression of AMR ratio and intuitive explanation for sign of AMR ratio

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Abstract

We derive the general expression of the anisotropic magnetoresistance (AMR) ratio of ferromagnets for a relative angle between the magnetization direction and the current direction. We here use the two-current model for a system consisting of a spin-polarized conduction state (s) and localized d states (d) with spin-orbit interaction. Using the expression, we analyze the AMR ratios of Ni and a half-metallic ferromagnet. These results correspond well to the respective experimental results. In addition, we give an intuitive explanation about a relation between the sign of the AMR ratio and the s-d scattering process. © (2013) Trans Tech Publications, Switzerland.

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Kokado, S., & Tsunod, M. (2013). Anisotropic magnetoresistance effect: General expression of AMR ratio and intuitive explanation for sign of AMR ratio. In Advanced Materials Research (Vol. 750–752, pp. 978–982). https://doi.org/10.4028/www.scientific.net/AMR.750-752.978

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