Effect of Holstein phonons on the electronic properties of graphene

Details Effect of Holstein phonons on the electronic properties of graphene Effect of Holstein phonons on the electronic properties of graphene

2007-07-28

arxiv.org/abs/0707.4248v2

J. Phys.: Condens. Matter 20, 055002 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 4 figures

Scientific paper

10.1088/0953-8984/20/5/055002

We obtain the self-energy of the electronic propagator due to the presence of Holstein polarons within the first Born approximation. This leads to a renormalization of the Fermi velocity of one percent. We further compute the optical conductivity of the system at the Dirac point and at finite doping within the Kubo-formula. We argue that the effects due to Holstein phonons are negligible and that the Boltzmann approach which does not include inter-band transition and can thus not treat optical phonons due to their high energy of $\hbar\omega_0\sim0.1-0.2$eV, remains valid.

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