Superconductivity in the Uniform Electron Gas: Irrelevance of Kohn-Luttinger Mechanism

Autor: Cai, Xiansheng, Wang, Tao, Prokof'ev, Nikolay V., Svistunov, Boris V., Chen, Kun
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. B 106, L220502 (2022)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.106.L220502
Popis: We study the Cooper instability in jellium model in the controlled regime of small to intermediate values of the Coulomb parameter $r_s \leq 2$. We confirm that superconductivity naturally emerges from purely repulsive interactions described by the Kukkonen-Overhauser vertex function. By employing the implicit renormalization approach we reveal that even in the small-$r_s$ 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.
Databáze: arXiv