2001/10/30 by Paola Paci, P. Paci, E. Cappelluti +3 · 10 citations
Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Function (biology) #Magnetic and transport properties of perovskites and related materials #Mathematics #Momentum (technical analysis) #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Superconductivity #Uncorrelated #Vertex (graph theory) #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.65.012512
published in Physical review. B, Condensed matter 65(1) (American Physical Society) · 4 pages, 3 eps figs
arxiv created 2001/10/30 · openalex publication_date 2001/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the issue of the nonadiabatic superconductivity in uncorrelated systems. A local approximation is employed coherently with the weak dependence on the involved momenta. Our results show that nonadiabatic vertex corrections are never negligible, but lead to a strong suppression of Tc with respect to the conventional theory. This feature is understood in terms of the momentum-frequency dependence of the vertex function. In contrast to strongly correlated systems, where the small q selection probes the positive part of vertex function, vertex corrections in uncorrelated systems are essentially negative resulting in an effective reduction of the superconducting pairing. Our analysis shows that vertex corrections in nonadiabatic regime can never be disregarded independently of the degree of electronic correlation in the system.