Nonadiabatic Fluctuations and the Charge-Density-Wave Transition in One-Dimensional Electron–Phonon Systems: A Dynamic Self-Consistent Theory

@article{Dikand2013NonadiabaticFA,
  title={Nonadiabatic Fluctuations and the Charge-Density-Wave Transition in One-Dimensional Electron–Phonon Systems: A Dynamic Self-Consistent Theory},
  author={Alain Mo{\'i}se Dikand{\'e} and Claude Bourbonnais},
  journal={Journal of the Physical Society of Japan},
  year={2013},
  volume={82},
  pages={024003}
}
The Peierls instability in one-dimensional electron–phonon systems is known to be qualitatively well described by the mean-field theory, however the related self-consistent problem so far has only been able to predict a partial suppression of the transition even with proper account of classical lattice fluctuations. Here the Hartree–Fock approximation scheme is extended to the full quantum regime, by mapping the momentum–frequency spectrum of order-parameter fluctuations onto a continuous two… 
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