  Thermoelectric properties of graphene nanoribbons with periodic edge
vacancies and antidot lattice are investigated. The electron-phonon interaction
is taken into account in the framework of the Hubbard-Holstein model with the
use of the Lang-Firsov unitary transformation scheme. The electron transmission
function, the thermopower and the thermoelectric figure of merit are
calculated. We have found that the electron-phonon interaction causes a
decrease in the peak values of the thermoelectric figure of merit and the shift
of the peak positions closer to the center of the bandgap. The effects are more
pronounced for the secondary peaks that appear in the structures with periodic
antidot.
