A Diagrammer's Note on Superconducting Fluctuation Transport for Beginners: Supplement. Boltzmann Equation and Fermi-Liquid Theory
arXiv:1406.5831
Abstract
The effect of the collision term of the Boltzmann equation is discussed for the diagonal conductivity in the absence of magnetic field and the off-diagonal conductivity within the linear order of magnetic field. The consistency between the Boltzmann equation and the Fermi-liquid theory is confirmed. The electron-electron interaction is totally taken into account via the self-energy of the electron. The Umklappness is taken into account as the geometrical factor. The current-vertex correction in the fluctuation-exchange (FLEX) approximation violates these conventional schemes. In the Appendix the Tsuji formula, the geometrical formula for the Hall conductivity is discussed.
The mistakes in the signs of the conductivity tensor in p. 6 and p. 10 have been corrected in v5. See arXiv:2011.04421 for details