Lindhard function of a d-dimensional Fermi gas

Abstract

We review in detail the derivation of the dielectric response function of a noninteracting system of spin-1/2 fermions in the random-phase approximation. Results for the response function of a Fermi gas in one, two and three dimensions can be obtained in closed form, and represent the baseline for developing a pedagogical understanding of the effect of correlations on the response functions in interacting systems of fermions.

8 pages, 5 figures

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