Exciton-mediated one-phonon resonant Raman scattering from one-dimensional systems
Vamivakas, A. Nickolas
Unlu, M. Selim
Goldberg, Bennett B.
Swan, Anna K.
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Citation (published version)A.N. Vamivakas, A. Walsh, Y. Yin, M.S. Unlu, B.B. Goldberg, A.K. Swan. 2006. "Exciton-mediated one-phonon resonant Raman scattering from one-dimensional systems." PHYSICAL REVIEW B, Volume 74, Issue 20, https://doi.org/10.1103/PhysRevB.74.205405
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 line shapes 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.