Renormalization-group approach to superconductivity: from weak to strong electron-phonon coupling

Abstract

We present the numerical solution of the renormalization group (RG) equations derived in Ref. [1], for the problem of superconductivity in the presence of both electron-electron and electron-phonon coupling at zero temperature. We study the instability of a Fermi liquid to a superconductor and the RG flow of the couplings in presence of retardation effects and the crossover from weak to strong coupling. We show that our numerical results provide an ansatz for the analytic solution of the problem in the asymptotic limits of weak and strong coupling.

8 pages, 3 figures, conference proceedings for the Electron Correlations and Materials Properties, in Kos, Greece, July 5-9, 2004

References in corpus (6)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Renormalization Group Approach to Interacting Fermions
• Renormalization group analysis of the 2D Hubbard model
• Similarities between organic and cuprate superconductors
• Renormalization Group Approach to Strong-Coupled Superconductors
• Dynamical Mean-Field Theory of Electron-Phonon Interactions in Correlated Systems: Application to Isotope Effects on Electronic Properties

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• Retardation effects in the Holstein-Hubbard chain at half-filling
• Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices
• Phase Diagram of the Holstein-Hubbard Two-Leg Ladder
• Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
• On the Validity of the Tomonaga Luttinger Liquid Relations for the One-dimensional Holstein Model
• A semiclassical nonequilibrium Green's Function approach to electron transport in systems exhibiting electron-phonon couplings
• Renormalization group approach to anisotropic superconductivity