Lindhard function of a d-dimensional Fermi gas

2011/11/02 by Mihaila, Bogdan · 1 citation
#FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.1111.5337

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.

Cited by

• Comparative analysis of plasmon modes in layered Lindhard metals and strange metals

Related

• The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime
• Response functions of many-body condensed matter systems
• Explicit expression for Lindhard dielectric function at finite temperature
• Bogoliubov theory for the dilute Fermi gas in three dimensions
• Infinite Volume Limit for Correlation functions in the Dipole Gas