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Landauer Conductance and Nonequilibrium Noise of One-Dimensional Interacting Electron Systems

Akira Shimizu
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Abstract

The conductance of one-dimensional interacting electron systems is calculated in a manner similar to Landauer's argument for non-interacting systems. Unlike in previous studies in which the Kubo formula was used, the conductance is directly evaluated as the ratio of current $J$ to the chemical potential difference $Δμ$ between right-going and left-going particles. It is shown that both $J$ and $Δμ$ are renormalized by electron-electron (e-e) interactions, but their ratio, the conductance, is not renormalized at all if the e-e interactions are the only scattering mechanism. It is also shown that nonequilibrium current fluctuation at low frequency is absent in such a case. These conclusions are drawn for both Fermi liquids (in which quasi-particles are accompanied with the backflow) and Tomonaga-Luttinger liquids.

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Akira Shimizu. 1998-04-11. Landauer Conductance and Nonequilibrium Noise of One-Dimensional Interacting Electron Systems. https://doi.org/10.1143/jpsj.65.1162

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