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

抄録

The conductance of one-dimensional interacting electron systemsis calculated in a manner similar to Landauer's argument for non-interacting systems. Unlike in previous studies in whichthe Kubo formula was used, the conductance is directly evaluated asthe ratio of current J to the chemical potential difference{Δ} μ between right-going and left-going particles.It is shown that both J and {Δ} μ are renormalizedby electron-electron (e-e) interactions, but their ratio, the conductance, is not renormalized at allif the e-e interactions are the only scattering mechanism.It is also shown that nonequilibrium current fluctuationat 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.