Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-02-28
Phys. Rev. B 79, 224514 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 7 figures. Final version as published in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.79.224514
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.
Lopez-Sancho Pilar M.
Roldan Rafael
Tsai Shan-Wen
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