Renormalization-group approach to superconductivity: from weak to strong electron–phonon coupling
- 11 June 2006
- journal article
- research article
- Published by Informa UK Limited in Philosophical Magazine
- Vol. 86 (17-18), 2631-2641
- https://doi.org/10.1080/14786830500318928
Abstract
We present the numerical solution of the renormalization group (RG) equations derived in Tsai, Castro Neto, Shankar, et al. [Phys. Rev. B to appear], 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 the 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 to the problem in the asymptotic limits of weak and strong coupling.Keywords
This publication has 13 references indexed in Scilit:
- Strong Superconductivity with Local Jahn-Teller Phonons inSolidsPhysical Review Letters, 2003
- Anisotropic Eliashberg theory of MgB2: Tc, isotope effects, superconducting energy gaps, quasiparticles, and specific heatPhysica C: Superconductivity and its Applications, 2003
- Dynamical mean-field theory of electron-phonon interactions in correlated systems: Application to isotope effects on electronic propertiesPhysical Review B, 2002
- Evidence for ubiquitous strong electron–phonon coupling in high-temperature superconductorsNature, 2001
- Weakly correlated electrons on a square lattice: Renormalization-group theoryPhysical Review B, 2000
- Similarities Between Organic and Cuprate SuperconductorsScience, 1997
- Renormalization-group approach to interacting fermionsReviews of Modern Physics, 1994
- Transition temperature of strong-coupled superconductors reanalyzedPhysical Review B, 1975
- Transition Temperature of Strong-Coupled SuperconductorsPhysical Review B, 1968
- Calculation of the Superconducting State Parameters with Retarded Electron-Phonon InteractionPhysical Review B, 1962