Sum rule for transport in a Luttinger liquid with long range interaction in the presence of an impurity

TL;DR

This paper demonstrates that in a Luttinger liquid with finite-range interactions and an impurity, a sum rule causes the charging energy to vanish, significantly affecting non-linear dc transport properties.

Contribution

It introduces a sum rule that governs non-linear dc transport in Luttinger liquids with finite-range interactions and impurities, revealing the vanishing of charging energy.

Findings

Charging energy vanishes due to the sum rule.

Non-linear dc transport is governed by this sum rule.

Finite-range interactions significantly influence transport behavior.

Abstract

We show that the non-linear dc transport in a Luttinger liquid with interaction of finite range in the presence of an impurity is governed by a sum rule which causes the charging energy to vanish.