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

2014/06/23 by Osamu Narikiyo, Narikiyo, Osamu
Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con)

paper · pdf · doi:10.48550/arxiv.1406.5831

openalex publication_date 2014/06/23 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

The effect of the collision term of the Boltzmann equation is discussed for\nthe diagonal conductivity in the absence of magnetic field and the off-diagonal\nconductivity within the linear order of magnetic field. The consistency between\nthe Boltzmann equation and the Fermi-liquid theory is confirmed. The\nelectron-electron interaction is totally taken into account via the self-energy\nof the electron. The Umklappness is taken into account as the geometrical\nfactor. The current-vertex correction in the fluctuation-exchange (FLEX)\napproximation violates these conventional schemes. In the Appendix the Tsuji\nformula, the geometrical formula for the Hall conductivity is discussed.\n

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