Eur. Phys. J. B 73, 247-252 (2010)
https://doi.org/10.1140/epjb/e2009-00440-8

Effect of Holstein phonons on the optical conductivity of gapped graphene

¹ Institute for Advanced Studies in Basic Sciences (IASBS), 45195-1159 Zanjan, Iran
² School of Physics, Institute for Fundamental Sciences, (IPM) 19395-5531 Tehran, Iran

Corresponding author: asgari@theory.ipm.ac.ir

Received: 2 September 2009
Revised: 21 October 2009
Published online: 24 December 2009

Abstract

We study the optical conductivity of a doped graphene when a sublattice symmetry breaking is occurred in the presence of the electron-phonon interaction. Our study is based on the Kubo formula that is established upon the retarded self-energy. We report new features of both the real and imaginary parts of the quasiparticle self-energy in the presence of a gap opening. We find an analytical expression for the renormalized Fermi velocity of massive Dirac Fermions over broad ranges of electron densities, gap values and the electron-phonon coupling constants. Finally we conclude that the inclusion of the renormalized Fermi energy and the band gap effects are indeed crucial to get reasonable feature for the optical conductivity.