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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.02294 |
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| _version_ | 1866909011730759680 |
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| author | Hou, Pengcheng Cerkoney, Daniel Li, Zhiyi Wang, Tao Cai, Xiansheng Wang, Lei Kotliar, Gabriel Deng, Youjin Chen, Kun |
| author_facet | Hou, Pengcheng Cerkoney, Daniel Li, Zhiyi Wang, Tao Cai, Xiansheng Wang, Lei Kotliar, Gabriel Deng, Youjin Chen, Kun |
| contents | The quasiparticle effective mass $m^*$ of the three-dimensional uniform electron gas (UEG) is a fundamental Fermi-liquid parameter whose value and density dependence have remained controversial for decades. Using renormalized perturbation theory with explicit counterterms, we determine $m^*$ in the metallic regime ($r_s \le 6$) from first principles by two complementary routes -- the self-energy and the forward-scattering four-point vertex via the $p$-wave spin-symmetric Landau parameter $F_1^s$ -- that agree within uncertainties at each density through sixth renormalized order. The resulting $m^*/m$ remains close to unity throughout the metallic regime, with a shallow non-monotonic density dependence -- a minimum near $r_s\approx 1$ followed by a gentle upturn -- reflecting the interplay of exchange and dynamical screening in the self-energy, and disfavoring strong monotonic suppression. This finding supports a physical picture for the metallic UEG in which dominant charge correlations are concentrated in nearly forward scattering and generate only a weak $F_1^s$ component. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02294 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | First-Principles Effective Mass in the Three-Dimensional Uniform Electron Gas Hou, Pengcheng Cerkoney, Daniel Li, Zhiyi Wang, Tao Cai, Xiansheng Wang, Lei Kotliar, Gabriel Deng, Youjin Chen, Kun Strongly Correlated Electrons Computational Physics The quasiparticle effective mass $m^*$ of the three-dimensional uniform electron gas (UEG) is a fundamental Fermi-liquid parameter whose value and density dependence have remained controversial for decades. Using renormalized perturbation theory with explicit counterterms, we determine $m^*$ in the metallic regime ($r_s \le 6$) from first principles by two complementary routes -- the self-energy and the forward-scattering four-point vertex via the $p$-wave spin-symmetric Landau parameter $F_1^s$ -- that agree within uncertainties at each density through sixth renormalized order. The resulting $m^*/m$ remains close to unity throughout the metallic regime, with a shallow non-monotonic density dependence -- a minimum near $r_s\approx 1$ followed by a gentle upturn -- reflecting the interplay of exchange and dynamical screening in the self-energy, and disfavoring strong monotonic suppression. This finding supports a physical picture for the metallic UEG in which dominant charge correlations are concentrated in nearly forward scattering and generate only a weak $F_1^s$ component. |
| title | First-Principles Effective Mass in the Three-Dimensional Uniform Electron Gas |
| topic | Strongly Correlated Electrons Computational Physics |
| url | https://arxiv.org/abs/2605.02294 |