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Fermi-Liquid Theory for a Conductance through an Interacting Region Attached to Noninteracting Leads

1997/04/08 by Akira Oguri · 3 citations
Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1143/jpsj.66.1427

published as J. Phys. Soc. Jpn. 66 (1997) 1427. · 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

arxiv created 1997/04/08 · openalex publication_date 1997/05/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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