Effects of electron-phonon coupling on Landau levels in graphene

@article{Pound2011EffectsOE,
  title={Effects of electron-phonon coupling on Landau levels in graphene},
  author={Adam Pound and Jules P. Carbotte and Elisabeth J. Nicol},
  journal={Physical Review B},
  year={2011},
  volume={84},
  pages={085125}
}
We calculate the density of states (DOS) in graphene for electrons coupled to a phonon in an external magnetic field. We find that coupling to an Einstein mode of frequency ${\ensuremath{\omega}}_{E}$ not only shifts and broadens the Landau levels (LLs), but radically alters the DOS by introducing a new set of peaks at energies ${E}_{n}\ifmmode\pm\else\textpm\fi{}{\ensuremath{\omega}}_{E}$, where ${E}_{n}$ is the energy of the $n$th LL. If one of these new peaks lies sufficiently close to an LL… 
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