One-dimensional strongly interacting electrons with single impurity: conductance reemergence

TL;DR

This paper investigates how the conductance of a one-dimensional electron channel with a single impurity depends on the long-range behavior of electron-electron interactions, showing conductance reemergence when the interaction is effectively screened.

Contribution

It demonstrates that conductance can reemerge in 1D systems with impurities if the electron-electron interaction vanishes at zero momentum, highlighting the importance of interaction screening.

Findings

Conductance depends critically on the asymptotic behavior of e-e interactions.

Screened interactions lead to conductance reemergence.

Long-range order in the Luttinger model relates to this phenomenon.

Abstract

We show that conductance of 1D channel with one point-like impurity critically depends on asymptotic behavior of e-e interaction at small momenta k (about inverse length of a channel). Conductance reemerges (contrary to the case of point-like repulsive potential) if potential V(k=0)= 0. For example, this happens if the bare e-e interaction is screened by the charges in the bulk. The relation of this phenomena to the long-range order present in the Luttinger model is discussed.