Exciton mediated one phonon resonant Raman scattering from one-dimensional systems

TL;DR

This paper develops a theoretical framework using the Kramers-Heisenberg approach to analyze exciton-mediated resonant Raman scattering in one-dimensional systems, aiding interpretation of experimental spectra in materials like nanotubes.

Contribution

It introduces a general expression for the resonant Raman cross section in 1D systems that explicitly includes excitonic effects, advancing the theoretical understanding of Raman processes in these materials.

Findings

Derived a general formula for exciton-mediated Raman scattering in 1D systems.

Illustrated differences between free electron and correlated electron-hole models.

Provided insights applicable to materials like carbon nanotubes and quantum wires.

Abstract

We use the Kramers-Heisenberg approach to derive a general expression for the resonant Raman scattering cross section from a one-dimensional (1D) system explicitly accounting for excitonic effects. The result should prove useful for analyzing the Raman resonance excitation profile lineshapes for a variety of 1D systems including carbon nanotubes and semiconductor quantum wires. We apply this formalism to a simple 1D model system to illustrate the similarities and differences between the free electron and correlated electron-hole theories.