Electronic Raman response in anisotropic metals

TL;DR

This paper develops a generalized theoretical framework for electronic Raman response in anisotropic metals, incorporating Coulomb interactions, finite wavenumbers, and various scattering processes, with applications to cuprate superconductors.

Contribution

It extends existing models by including anisotropic relaxation, inelastic scattering, and finite wavenumber effects in the Raman response of metals.

Findings

Numerical results for quasiparticle scattering rates in cuprates

Calculated Raman response functions considering anisotropic relaxation

Inclusion of inelastic electron-electron scattering effects

Abstract

Using a generalized response theory we derive the electronic Raman response function for metals with anisotropic relaxation rates. The calculations account for the long--range Coulomb interaction and treat the collision operator within a charge conserving relaxation time approximation. We extend earlier treatments to finite wavenumbers ($|{\bf q}|\ll k_{\rm F}$) and incorporate inelastic electron--electron scattering besides elastic impurity scattering. Moreover we generalize the Lindhard density response function to the Raman case. Numerical results for the quasiparticle scattering rate and the Raman response function for cuprate superconductors are presented.