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Lindhard function of a d-dimensional Fermi gas

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arxiv 1111.5337 v1 pith:Y5S3QO76 submitted 2011-11-02 cond-mat.quant-gas cond-mat.str-elmath-phmath.MP

Bogdan Mihaila This is my paper · ORCID
classification cond-mat.quant-gascond-mat.str-elmath-phmath.MP
keywords functionresponsefermifermionsapproximationbaselineclosedcorrelations
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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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Cited by 3 Pith papers

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  1. Superconductivity via paramagnon and magnon exchange in a 2D near-ferromagnetic full metal and ferromagnetic half-metal

    cond-mat.supr-con 2025-06 conditional novelty 8.0 of 10

    In a 2D model with a short-range repulsion, the fully spin-polarized half-metal phase has an attractive odd-parity pairing interaction from two-magnon exchange, with a pairing scale possibly reaching a substantial fra...

  2. Comparative analysis of plasmon modes in layered Lindhard metals and strange metals

    cond-mat.str-el 2025-07 reject novelty 6.0 of 10

    An IR-derived, momentum-independent layer polarizability predicts a single damped plasmon and no surface mode in T-EELS of Bi-2212, in disagreement with published finite-momentum EELS.

  3. Fluctuation-induced and quantum effects in nanofluidic transport

    physics.flu-dyn 2026-06 unverdicted novelty 4.0 of 10

    Review of nanoscale liquid-electron couplings with analytical formulas for hydro-electronic transport coefficients from quantum friction effects.

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