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Summary: Magneto-optical conductivity in graphene including electron-phonon coupling
Adam Pound1
, J.P. Carbotte2,3
, and E.J. Nicol4
1
School of Mathematics, University of Southampton, Southampton, United Kingdom, SO17 1BJ
2
Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada, L8S 4M1
3
The Canadian Institute for Advanced Research, Toronto, Ontario, Canada, M5G 1Z8 and
4
Department of Physics, University of Guelph, Guelph, Ontario, Canada, N1G 2W1
(Dated: February 1, 2012)
We show how coupling to an Einstein phonon E affects the absorption peaks seen in the optical
conductivity of graphene under a magnetic field B. The energies and widths of the various lines are
shifted, and new peaks arise in the spectrum. Some of these peaks are Holstein sidebands, resulting
from the transfer of spectral weight in each Landau level (LL) into phonon-assisted peaks in the
spectral function. Other new absorption peaks result from transitions involving split LLs, which
occur when a LL falls sufficiently close to a peak in the self-energy. We establish the selection rules
for the new transitions and characterize the new absorption peaks. For finite chemical potential,
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