Renormalization group approach to anisotropic superconductivity

R. Roldán; Shan-Wen Tsai; M. P. López-Sancho

doi:10.1103/PhysRevB.79.224514

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Renormalization group approach to anisotropic superconductivity

R. Roldán, Shan-Wen Tsai, M. P. López-Sancho

DOI 10.1103/PhysRevB.79.224514 · Physical Review B

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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 noninteracting 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.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
YNi2B2C Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
LuNi2C Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
MgB2 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	39	Pressure not reported	unknown