Interaction Effects on the Conductance in One-Dimensional Systems -- Short-Range Interaction --

TL;DR

This paper demonstrates that short-range electron-electron interactions in one-dimensional systems lead to finite conductance corrections at finite temperature or length, but these can be absorbed into chemical potential renormalization, resulting in observed conductance equal to non-interacting electrons.

Contribution

It shows that in one-dimensional systems with short-range interactions, the conductance correction can be accounted for by chemical potential renormalization, aligning observed conductance with non-interacting predictions.

Findings

Finite temperature or length prevents interaction renormalization to zero.

Conductance correction can be absorbed into chemical potential renormalization.

Observed conductance matches that of non-interacting electrons.

Abstract

We investigate the effect of electron-electron interactions on the conductance of quasi one-dimensional systems without potential scattering. For a finite temperature or system length, the short-range interaction is not renormalized to 0, and it gives rise to a finite correction to the conductance if we calculate it using Kubo formula. We show that this correction can be absorbed into the renormalization of the chemical potential and that the properly defined conductance to be observed in the experiments is equal to that of non-interacting electrons.