论文标题
均匀电子气体中的超导性:Kohn-Luttinger机构的无关紧要
Superconductivity in the Uniform Electron Gas: Irrelevance of Kohn-Luttinger Mechanism
论文作者
论文摘要
我们研究了jellium模型中的库珀不稳定性,以库仑参数$ r_s \ leq 2 $的小至中间值的受控状态研究。我们确认,超导性自然来自Kukkonen-Overhauser顶点函数所描述的纯粹排斥相互作用。通过采用隐式重新规定方法,我们透露,即使在小$ r_s $限制中,库珀不稳定性背后的主要机制是基于对库仑相互作用的动态筛选(由随机阶段近似值捕获,而kohn-luttinger的贡献是微不足道的小,因此,无关。
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.