Pumping current and conductance of a Luttinger liquid in the presence of two time-dependent impurities at finite temperature

TL;DR

This paper investigates how two time-dependent impurities affect the pumping current and conductance in a Luttinger liquid at finite temperature, revealing distortions of previous zero-temperature and single-impurity results.

Contribution

It introduces a detailed analysis of finite-temperature effects on a Luttinger liquid with two dynamic impurities, extending prior zero-temperature and single-impurity studies.

Findings

Finite temperature distorts zero-temperature results.

Impurity separation influences conductance regimes.

Frequency and temperature jointly affect pumping current.

Abstract

We study the pumping current and the conductance in a Tomonaga-Luttinger liquid in the presence of two time-dependent point like weak impurities, taking into account finite-temperature effects. We investigate the different regimes which can be established as function of the frequency, the temperature and the separation between the impurity potentials. We show how the previous zero temperature or single impurity results are distorted.