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

Abstract

We study the Cooper instability in jellium model in the controlled regime of small to intermediate values of the Coulomb parameter $r_s\le 2$. 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.

References in corpus (5)

• Strong Correlations and Magnetic Frustration in the High Tc Iron Pnictides
• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• Superconductivity in rhombohedral trilayer graphene
• Discrete Lehmann representation of imaginary time Green's functions
• libdlr: Efficient imaginary time calculations using the discrete Lehmann representation

Cited by in corpus (10)

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• Decomposing imaginary time Feynman diagrams using separable basis functions: Anderson impurity model strong coupling expansion
• Low rank Green's function representations applied to dynamical mean-field theory
• Stabilizing the calculation of the self-energy in dynamical mean-field theory using constrained residual minimization
• Discrete Lehmann representation of three-point functions
• cppdlr: Imaginary time calculations using the discrete Lehmann representation
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• Precursory Cooper Flow in Ultralow-Temperature Superconductors
• Conventional and practical metallic superconductivity arising from repulsive Coulomb coupling