Analysis of Response Functions of a Spin-Polarized Electron Gas

Abstract

We present a spin analysis of local-field corrections and various susceptibility functions of a spin-polarized electron gas (SPEG). With a use of spin-resolved pair correlation functions of the SPEG, including the carrier correlations, we evaluate the local-field correction within a generalized random-phase approximation (RPA) and examine spin-polarization dependences of various susceptibility functions generalized in terms of spin-dependent local-field corrections. A pronounced maximum in spin-resolved local-field correction is observed and the location of the peaks are found to depend strongly on the values of spin polarization. For a system with vanishing spin polarization, the charge–spin mixed susceptibilities vanish. However, in the SPEG of finite spin polarization, the mixed susceptibilities become finite and are as important as the usual charge–charge, and spin–spin susceptibilities.