Explicit expression for Lindhard dielectric function at finite temperature

TL;DR

This paper derives explicit formulas for the Lindhard dielectric function at finite temperature and demonstrates their application to Raman scattering in n-type GaAs, enhancing understanding of electron gas behavior in semiconductors.

Contribution

It provides the first explicit expressions for the Lindhard dielectric function at finite temperature, facilitating practical calculations in condensed matter physics.

Findings

Explicit formulas for real and imaginary parts of dielectric function

Application to Raman scattering in n-type GaAs

Enhanced modeling of electron gas at finite temperature

Abstract

In this work, within the scope of the Lindhard dielectric function formalism for the homogeneous electron gas, explicit expressions for the real and imaginary parts are calculated for finite temperature. An application to Raman scattering in n-type GaAs is presented to highlight the power of the method