Optical properties of random alloys : A formulation

TL;DR

This paper introduces a formulation for calculating the optical conductivity in random alloys, accounting for disorder effects on electron and hole propagators and transition amplitudes.

Contribution

It develops a new theoretical approach based on the augmented-space theorem to incorporate disorder scattering effects in optical property calculations.

Findings

Disorder scattering renormalizes electron and hole propagators.

Transition amplitudes are corrected via self-energy and vertex corrections.

The formulation provides a comprehensive way to analyze optical properties in alloys.

Abstract

We present here a formulation for the calculation of the configuration-averaged optical conductivity in random alloys. Our formulation is based on the augmented-space theorem introduced by one of us [A. Mookerjee, J. Phys. C: Solid State Phys. 6, 1340 (1973)]. We show that disorder scattering renormalizes the electron and hole propagators as well as the transition amplitude. The corrections to the transition amplitude have been shown to be related to the self-energy of the propagators and vertex corrections.