Authors: Xiansheng Cai, Tao Wang, Nikolay V. Prokof’ev, Boris V. Svistunov, and Kun Chen

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.

Link: https://doi.org/10.1103/PhysRevB.106.L220502

Data availability: https://drive.google.com/drive/folders/1psLvj3zmW4oG4qmSUFZPTOmpJ0_OsZ9d?usp=drive_link

Code availability: https://github.com/iintSjds/QuantumStatistics.jl