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arXiv · 1406.5831

A Diagrammer's Note on Superconducting Fluctuation Transport for Beginners: Supplement. Boltzmann Equation and Fermi-Liquid Theory

Osamu Narikiyo
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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.

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Osamu Narikiyo. 2014-06-23. A Diagrammer's Note on Superconducting Fluctuation Transport for Beginners: Supplement. Boltzmann Equation and Fermi-Liquid Theory. https://arxiv.org/abs/1406.5831

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