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Main Authors: Hou, Pengcheng, Li, Zhiyi, Deng, Youjin, Chen, Kun
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.16888
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author Hou, Pengcheng
Li, Zhiyi
Deng, Youjin
Chen, Kun
author_facet Hou, Pengcheng
Li, Zhiyi
Deng, Youjin
Chen, Kun
contents The finite-temperature spin response of the uniform electron gas (UEG) is a fundamental reference for spin-polarized and magnetized electron liquids, including warm dense matter (WDM), yet it remains far less constrained than charge response. Using variational diagrammatic Monte Carlo, we compute the static spin exchange--correlation (XC) kernel $K_{xc}(q;T)$ of the unpolarized UEG at metallic densities across the quantum-degenerate, warm-dense, and classical regimes. The kernel connects smoothly to zero-temperature spin-response parametrizations at low temperature, while heating suppresses the Fermi-surface-scale spin-correlation structure and weakens the XC-driven Stoner enhancement. Its long-wavelength limit provides a direct response test of the spin stiffness implied by thermal local-spin-density-approximation (LSDA) parametrizations, showing low-temperature consistency while exposing a resolved warm-dense residual in current LSDA parametrizations. In the classical regime, the spin XC kernel becomes nearly local on the Fermi-momentum scale, in sharp contrast to the corresponding charge XC kernel. These results provide a first-principles basis for finite-temperature spin-response theory and magnetized WDM modeling.
format Preprint
id arxiv_https___arxiv_org_abs_2605_16888
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Finite-Temperature Spin Exchange-Correlation Kernel of the Uniform Electron Gas
Hou, Pengcheng
Li, Zhiyi
Deng, Youjin
Chen, Kun
Strongly Correlated Electrons
Computational Physics
Plasma Physics
The finite-temperature spin response of the uniform electron gas (UEG) is a fundamental reference for spin-polarized and magnetized electron liquids, including warm dense matter (WDM), yet it remains far less constrained than charge response. Using variational diagrammatic Monte Carlo, we compute the static spin exchange--correlation (XC) kernel $K_{xc}(q;T)$ of the unpolarized UEG at metallic densities across the quantum-degenerate, warm-dense, and classical regimes. The kernel connects smoothly to zero-temperature spin-response parametrizations at low temperature, while heating suppresses the Fermi-surface-scale spin-correlation structure and weakens the XC-driven Stoner enhancement. Its long-wavelength limit provides a direct response test of the spin stiffness implied by thermal local-spin-density-approximation (LSDA) parametrizations, showing low-temperature consistency while exposing a resolved warm-dense residual in current LSDA parametrizations. In the classical regime, the spin XC kernel becomes nearly local on the Fermi-momentum scale, in sharp contrast to the corresponding charge XC kernel. These results provide a first-principles basis for finite-temperature spin-response theory and magnetized WDM modeling.
title Finite-Temperature Spin Exchange-Correlation Kernel of the Uniform Electron Gas
topic Strongly Correlated Electrons
Computational Physics
Plasma Physics
url https://arxiv.org/abs/2605.16888