A diagrammer's note on DC conductivity of anisotropic Fermi liquids for   beginners: Maebashi-Fukuyama formula and Taylor formula
  Formal but exact DC conductivity formulae for anisotropic Fermi liquids are reviewed. One is the Maebashi-Fukuyama formula based on the Fermi-surface harmonics. The other is the Taylor formula based on the scattering eigenfunction. In comparison to these two formulae the current-vertex-correction in the fluctuation-exchange approximation is shown to be a bad vision caused by an inconsistent approximation. 
Osamu Narikiyo
cond-mat.str-el