Renormalization group approach to anisotropic superconductivity
arXiv:cond-mat/0702673 · doi:10.1103/PhysRevB.79.224514
Abstract
The superconducting instability of the Fermi liquid state is investigated by considering anisotropic electron-boson couplings. Both electron-electron interactions and anisotropic electron-boson couplings are treated with a renormalization-group method that takes into account retardation effects. Considering a non-interacting circular Fermi surface, we find analytical solutions for the flow equations and derive a set of generalized Eliashberg equations. Electron-boson couplings with different momentum dependences are studied, and we find superconducting instabilities of the metallic state with competition between order parameters of different symmetries. Numerical solutions for some couplings are given to illustrate the frequency dependence of the vertices at different coupling regimes.
9 pages, 7 figures. Final version as published in Phys. Rev. B
References in corpus (22)
- Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
- Renormalization Group Approach to Interacting Fermions
- Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
- An unusual isotope effect in a high-transition-temperature superconductor
- Density waves and Cooper pairing on the honeycomb lattice
- Anisotropic electron-phonon interaction in the cuprates
- Low Energy Dynamics of the Spinon-Gauge System
- Kohn-Luttinger superconductivity in graphene
- High-energy kink in high-temperature superconductors
- What the resonance peak does
- An Isotopic Fingerprint of Electron-Phonon Coupling in High-Tc Cuprates
- Direct Role of Structural Dynamics in Electron-Lattice Coupling of Superconducting Cuprates
- Phonons and d-wave pairing in the two-dimensional Hubbard model
- Retardation effects in the Holstein-Hubbard chain at half-filling
- Renormalization Group Approach to Strong-Coupled Superconductors
- Finite band inversion of ARPES in BiSrCaCuO in comparison with optics
- Local Strong Coupling Pairing in -Wave Superconductor with Inhomogeneous Bosonic Modes
- The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method
- Oxygen-isotope effect on the superconducting gap in the cuprate superconductor Y_{1-x}Pr_xBa_2Cu_3O_{7-δ}
- Renormalization-group approach to superconductivity: from weak to strong electron-phonon coupling
- Superconductivity in electron-doped cuprates: Gap shape change and symmetry crossover with doping
- Self-energy corrections to anisotropic Fermi surfaces