Distance Dependence of the Energy Transfer Rate From a Single Semiconductor Nanostructure to Graphene
Fran\c{c}ois Federspiel, Guillaume Froehlicher, Michel Nasilowski,, Silvia Pedetti, Ather Mahmood, Bernard Doudin, Serin Park, Jeong-O Lee, David, Halley, Beno\^it Dubertret, Pierre Gilliot, and St\'ephane Berciaud

TL;DR
This study investigates how the energy transfer rate from individual semiconductor nanostructures to graphene varies with distance, revealing different decay behaviors for zero-dimensional nanocrystals and two-dimensional nanoplatelets, with implications for nanoscale measurements.
Contribution
It provides the first detailed analysis of distance-dependent energy transfer from single nanostructures to graphene, including a theoretical model for nanoplatelets.
Findings
Nanocrystals exhibit a $1/d^4$ decay in energy transfer rate.
Nanoplatelets' energy transfer deviates from simple power law, fitting a theoretical model.
Graphene-based molecular rulers enable precise nanoscale distance measurements.
Abstract
The near-field Coulomb interaction between a nano-emitter and a graphene monolayer results in strong F\"orster-type resonant energy transfer and subsequent fluorescence quenching. Here, we investigate the distance dependence of the energy transfer rate from individual, i) zero-dimensional CdSe/CdS nanocrystals and ii) two-dimensional CdSe/CdS/ZnS nanoplatelets to a graphene monolayer. For increasing distances , the energy transfer rate from individual nanocrystals to graphene decays as . In contrast, the distance dependence of the energy transfer rate from a two-dimensional nanoplatelet to graphene deviates from a simple power law, but is well described by a theoretical model, which considers a thermal distribution of free excitons in a two-dimensional quantum well. Our results show that accurate distance measurements can be performed at the single particle level using…
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