Recently, we have reported theoretical studies (J. Chem. Phys. 129, 054703,
2008 and J. Chem. Phys. 130, 086101, 2009) on the rate of energy transfer from
an electronically excited molecule to graphene. It was found that graphene is a
very efficient quencher of the electronically excited states and that the rate
∝(distance)−4. The process was found to be effective up to
30nm which is well beyond the traditional FRET limit. In this report, we
study the transfer of an amount of energy ℏΩ from a dye molecule to
doped graphene. We find a crossover of the distance dependence of the rate from
(distance)−4 to exponential as the Fermi level is increasingly shifted
into the conduction band, with the crossover occurring at a shift of the Fermi
level by an amount ℏΩ/2.Comment: This paper was submitted to J. Chem. Phys. on 20/05/201