Backscattering off a dynamical impurity in one-dimensional Fermi systems: A perturbative computation

TL;DR

This paper analyzes how a time-dependent impurity affects backscattering, energy density, and conductance in a one-dimensional electron system using perturbative methods.

Contribution

It provides a perturbative calculation of backscattering effects from a dynamical impurity in 1D Fermi systems, linking impurity dynamics to transport properties.

Findings

Backscattering modifies energy density and conductance.

Dynamical and geometrical impurity properties influence electron transport.

Perturbative approach effectively captures impurity effects.

Abstract

We investigate the problem of backscattering off a time-dependent and spatially extended barrier in a one-dimensional electron gas. By performing a perturbative expansion in the backscattering amplitude, we compute the total energy density of the system. We show how the free fermion spectrum and the conductance of the system are affected by the interplay between dynamical and geometrical properties of the impurity.