Response of an electron system to a periodic potential

TL;DR

This paper provides a quantum field theoretical analysis of a one-dimensional electron system subjected to a periodic potential, deriving a non-perturbative Lindhard response function.

Contribution

It introduces a non-perturbative calculation of the Lindhard response for electrons in a sinusoidal potential using quantum field theory.

Findings

Derived the Lindhard response function non-perturbatively

Analyzed electron behavior under a sinusoidal potential

Provided insights into electron response in periodic systems

Abstract

We give a quantum field theoretical treatment of a one dimensional electron system with a fixed chemical potential $\mu$. The non-perturbative Lindhard response function is found for an electron system in a sinusoidal potential.