Fermi-liquid theory for a conductance through an interacting region attached to noninteracting leads

Details Fermi-liquid theory for a conductance through an interacting region attached to noninteracting leads Fermi-liquid theory for a conductance through an interacting region attached to noninteracting leads

1997-04-07

arxiv.org/abs/cond-mat/9704050v2

J. Phys. Soc. Jpn. 66 (1997) 1427.

Physics

Condensed Matter

Strongly Correlated Electrons

text is not changed, 6 PS figures were replaced by 6 EPS figures in order to prevent the control-D problem of the PS files

Scientific paper

10.1143/JPSJ.66.1427

We study the relation between the dc conductance and the transmission through an interacting region based on the Kubo formalism using the perturbation analysis in the Coulomb interaction developed by Yamada-Yosida and Shiba. We find that the contributions of the vertex correction to the dc conductance disappear at T=0 if the currents are measured in the noninteracting leads. Consequently, the dc conductance is written in a Landauer-type form using the transmission coefficient for single-particle-like excitation at the Fermi energy. The results are generalized to a system with a number of scattering channels, and may be regarded as an extension of the relation derived by Fisher-Lee.

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