Parametrization of Nambu vertex in a singlet superconductor

Details Parametrization of Nambu vertex in a singlet superconductor Parametrization of Nambu vertex in a singlet superconductor

2010-05-19

arxiv.org/abs/1005.3521v2

Prog.Theor.Phys.124:471-491,2010

Physics

Condensed Matter

Superconductivity

21 pages, 5 figures

Scientific paper

10.1143/PTP.124.471

We analyze general properties of the effective Nambu two-particle vertex and its renormalization group flow in a spin-singlet superconductor. In a fully spin-rotation invariant form the Nambu vertex can be expressed by only three distinct components. Solving exactly the flow of a mean-field model with reduced BCS and forward scattering interactions, we gain insight into the singularities in the momentum and energy dependences of the vertex at and below the critical energy scale for superconductivity. Using a decomposition of the vertex in various interaction channels, we manage to isolate singular momentum and energy dependences in only one momentum and energy variable for each term, such that the singularities can be efficiently parametrized.

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