Analytical expressions for the charge-charge local-field factor and the exchange-correlation kernel of a two-dimensional electron gas

2001/06/10 by B. Davoudi, Marco Polini, M. Polini +4 · 2 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.64.153101

published as Physical Review B 64, 153101 (2001) · 5 pages, 3 figures

arxiv created 2001/06/10 · openalex publication_date 2001/09/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an analytical expression for the static many-body local field factor G₊(q) of a homogeneous two-dimensional electron gas, which reproduces diffusion Monte Carlo data and embodies the exact asymptotic behaviors at both small and large wave number q. This allows us to also provide a closed-form expression for the exchange and correlation kernel K_xc(r), which represents a key input for density functional studies of inhomogeneous systems.

Cited by

• Structure of the local-field factor of the 2D electron fluid. Possible evidence for correlated scattering of electron pairs
• Correlation energy of a two-dimensional electron gas from static and dynamic exchange-correlation kernels