Lindhard function of a d-dimensional Fermi gas
Quantum Gases
2011-11-24 v1 Strongly Correlated Electrons
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1111.5337,
title = {Lindhard function of a d-dimensional Fermi gas},
author = {Bogdan Mihaila},
journal= {arXiv preprint arXiv:1111.5337},
year = {2011}
}
Comments
8 pages, 5 figures