Abstract
By a quantization-axis transformation, we derive an extended equation which Green's function satisfies in the presence of spin-flip scattering, and then apply the Kubo formula to study the variation of the giant magnetoresistance (GMR) in magnetic multilayered structures with the angle θ between the magnetizations of succesive magnetic films. It is found that in the presence of spin-flip scattering and spin-dependent potential barriers, the linear dependence of GMR on sin 2(θ/2) can be approximately obtained, which is qualitatively consistent with the experimental result.
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