Signature of Short-Range Order in Static Response of the Three-Dimensional Electron Gas
Abstract
The three-dimensional electron gas is a fundamental model in condensed matter physics and quantum chemistry, and the exchange-correlation energy derived from it serves as the starting point of \textit{ab initio} computations of materials. However, the wave-vector-dependent response, and hence the static local field factor G(q), has remained without accurate ground-state benchmark in the strongly coupled regime for three decades. Using diffusion Monte Carlo, we calculate the static density-density response function and G(q) across the liquid phase and find a pronounced structure in G(q) at intermediate wave vectors, already visible at metallic densities and growing with increasing interaction strength. We identify it as a fingerprint of short-range order by showing that it is required to reproduce the static structure factor. Our parametrization, valid in the entire liquid phase, predicts a low-energy resonant mode inside the particle-hole continuum.
Related
- Exchange self-energy and vertex corrections to static screening in the two-dimensional electron gas
- Static Response of the Strongly Coupled Electron Gas from Diffusion Monte Carlo
- For any static interaction the self-energy and vertex corrections to the electron-gas polarizability combine exactly into one integrand free of the Coulomb singularity
- Static spin exchange-correlation kernel of the uniform electron gas at finite temperature
- Static linear response of hot and dense QCD matter to electromagnetic fields: Leading hard and soft QCD corrections
BibTeX
@misc{gunes2026signature,
title = {{Signature of Short-Range Order in Static Response of the Three-Dimensional Electron Gas}},
author = {Muhammed H. Güneş and Yubo Yang and Vitaly Gorelov and Miguel A. Morales and Matteo Gatti and Lucia Reining and Shiwei Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.10006},
eprint = {2609.10006},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10006},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Signature of Short-Range Order in Static Response of the Three-Dimensional Electron Gas
AU - Muhammed H. Güneş
AU - Yubo Yang
AU - Vitaly Gorelov
AU - Miguel A. Morales
AU - Matteo Gatti
AU - Lucia Reining
AU - Shiwei Zhang
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2609.10006
UR - https://arxiv.org/abs/2609.10006
AB - The three-dimensional electron gas is a fundamental model in condensed matter physics and quantum chemistry, and the exchange-correlation energy derived from it serves as the starting point of \textit{ab initio} computations of materials. However, the wave-vector-dependent response, and hence the static local field factor G(q), has remained without accurate ground-state benchmark in the strongly coupled regime for three decades. Using diffusion Monte Carlo, we calculate the static density-density response function and G(q) across the liquid phase and find a pronounced structure in G(q) at intermediate wave vectors, already visible at metallic densities and growing with increasing interaction strength. We identify it as a fingerprint of short-range order by showing that it is required to reproduce the static structure factor. Our parametrization, valid in the entire liquid phase, predicts a low-energy resonant mode inside the particle-hole continuum.
ER -