Superconductivity in the uniform electron gas: Irrelevance of the Kohn-Luttinger mechanism
Xiansheng Cai, Tao Wang, Nikolay V. Prokof'ev, Boris V. Svistunov, Kun Chen
DOI 10.1103/PhysRevB.106.L220502 · Physical Review B
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Abstract
We study the Cooper instability in jellium model in the controlled regime of small to intermediate values of the Coulomb parameter rs≤2. We confirm that superconductivity naturally emerges from purely repulsive interactions described by the Kukkonen-Overhauser vertex function. By employing the implicit renormalization approach and the discrete Lehmann representation we reveal that even in the small-rs limit, the dominant mechanism behind Cooper instability is based on dynamic screening of the Coulomb interaction—accurately captured by the random phase approximation, whereas the Kohn-Luttinger contribution is negligibly small and, thus, not relevant.
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