Effects of energy dependence in the quasiparticle density of states on far-infrared absorption in the pseudogap state

TL;DR

This paper derives a new relationship linking optical conductivity scattering rate and electron-boson spectral function, accounting for energy dependence in the density of states, aiding analysis of pseudogap state data in cuprates.

Contribution

It introduces a novel formula connecting scattering rate and spectral function considering energy-dependent density of states near the Fermi level.

Findings

Derived a relationship useful for experimental data analysis

Applicable to pseudogap state in cuprate superconductors

Enhances understanding of electron-boson interactions

Abstract

We derive a relationship between the optical conductivity scattering rate 1/\tau(\omega) and the electron-boson spectral function \alpha^2F(\Omega) valid for the case when the electronic density of states, N(\epsilon), cannot be taken as constant in the vicinity of the Fermi level. This relationship turned out to be useful for analyzing the experimental data in the pseudogap state of cuprate superconductors.