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Two-Electron Correlations in the Metallic Electron Gas

2025/11/28 by Li, Zhiyi, Hou, Pengcheng, Wang, Bao-Zong +2
#Computational Physics (physics.comp-ph) #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2511.22927

Abstract

We present high-precision ab initio calculations of the four-point vertex function for the three-dimensional uniform electron gas using variational diagrammatic Monte Carlo. From these results, we extract Landau parameters that demonstrate a density-driven crossover from underscreening to overscreening. Guided by our numerical data, we propose a charge-based Kukkonen--Overhauser effective interaction within the local-density approximation, supplemented by a small s-wave correction (sKO+), which accurately captures the electron--electron scattering amplitude. Using our numerically determined scattering amplitude, together with the sKO+ ansatz, we compute the electron-electron contribution to the thermal resistivity, demonstrating excellent agreement with experimental measurements in simple metals.

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