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Lindhard function of a d-dimensional Fermi gas

Published 2 Nov 2011 in cond-mat.quant-gas, cond-mat.str-el, math-ph, and math.MP | (1111.5337v1)

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.

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