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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.22927 |
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| _version_ | 1866913060978950144 |
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| author | Li, Zhiyi Hou, Pengcheng Wang, Bao-Zong Deng, Youjin Chen, Kun |
| author_facet | Li, Zhiyi Hou, Pengcheng Wang, Bao-Zong Deng, Youjin Chen, Kun |
| contents | We present high-precision \emph{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 reveal a density-driven crossover from underscreening to overscreening, and obtain the full two-electron scattering amplitude on the Fermi surface with controlled accuracy. A residual analysis of the scattering amplitude against the charge-channel Kukkonen--Overhauser (KO$^+$) interaction shows that only a minimal s-wave correction in the antiparallel-spin channel is needed, defining the sKO$^+$ ansatz: KO$^+$ within the local-density approximation plus this short-range correction. Using both our direct VDMC amplitudes and the sKO$^+$ ansatz, we compute the electron-electron contribution to the thermal resistivity, obtaining quantitative agreement with experiments on simple metals (Al, Na, K, Rb). sKO$^+$ thus provides a transferable effective interaction for first-principles transport calculations in metals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-Electron Correlations in the Metallic Electron Gas Li, Zhiyi Hou, Pengcheng Wang, Bao-Zong Deng, Youjin Chen, Kun Strongly Correlated Electrons Materials Science Computational Physics We present high-precision \emph{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 reveal a density-driven crossover from underscreening to overscreening, and obtain the full two-electron scattering amplitude on the Fermi surface with controlled accuracy. A residual analysis of the scattering amplitude against the charge-channel Kukkonen--Overhauser (KO$^+$) interaction shows that only a minimal s-wave correction in the antiparallel-spin channel is needed, defining the sKO$^+$ ansatz: KO$^+$ within the local-density approximation plus this short-range correction. Using both our direct VDMC amplitudes and the sKO$^+$ ansatz, we compute the electron-electron contribution to the thermal resistivity, obtaining quantitative agreement with experiments on simple metals (Al, Na, K, Rb). sKO$^+$ thus provides a transferable effective interaction for first-principles transport calculations in metals. |
| title | Two-Electron Correlations in the Metallic Electron Gas |
| topic | Strongly Correlated Electrons Materials Science Computational Physics |
| url | https://arxiv.org/abs/2511.22927 |