Exciton mediated one phonon resonant Raman scattering from   one-dimensional systems
  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. 
A. N. Vamivakas, A. Walsh, Y. Yin, M. S. Unlu, B. B. Goldberg, A. K.   Swan