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The magnetic field dependence of the capacitance of Pd-AlOₓ-Al thin-film structures has been measured. The observed quadratic dependence of capacitance on the magnetic field is consistent with a theoretical model that includes the effect of a spin-dependent electrochemical potential on electron screening in the paramagnetic Pd. This spin-dependent electrochemical potential is related to the Zeeman splitting of the narrow d bands in Pd. The quantitative details depend on the electronic band structure at the surface of Pd.
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McCarthy et al. (2003) studied this question.
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