Abstract
Spin-resolved dielectric functions are formulated for a spin-polarized electron gas. Correlation eects are taken into account in terms of Hartree-Fock local-field corrections and self-consistent local-field correction, respectively. The self-consistent spin-resolved static dielectric functions have positive and finite values when an induced spin is parallel with a perturbing spin, whereas they have singular behaviors when the induced spin is anti-parallel with the perturbing spin.
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