Understanding dynamical characteristics of excited electronic states is crucial for rational design of functional nanomaterials. Using real-time time-dependent density functional theory, we present a fully quantum mechanical study on the transfer and decay of an exciton in an archetypal metal nanostructure. We introduce several approaches to analyze the dipole moment's time evolution to resolve exciton transfer rates and the pure dephasing times. These approaches are applied to studies of exciton diffusion length in a silver nanowire array. Calculated rates of polarization-induced transfer exhibit neither Forster's "sixth-power" dependence on donor− acceptor distance nor the perfect exponential separation dependence that typifies the Dexter transfer mechanism, suggesting that the nonperturbative, ab initio quantum dynamics captures intricacies of exciton transfer between quantized nanosystems that are beyond the reach of the canonical models of electronic energy transfer.
■ INTRODUCTIONExcitons, or Coulombically bound electron−hole pairs, are well-known to chemists, physicists, and material scientists alike as the quasiparticles (or elementary excitations) that result from coherent light−matter interactions and mediate most processes that occur in electronically excited states. These excitonic processes are the underlying driving forces in solar energy conversion and photocatalysis in inorganic 1−4 and molecular 5,6 semiconducting systems. Bound excitonic states also exist in metallic systems but are fleetingly short-lived owing to the rapid (sub-femtosecond) onset of Coulomb screening. 7,8 One route to prolonging the lifetime of excitonic states in conducting materials in order to enable some excitonically promoted physical process could be to utilize the quantized nature of nanosized metal clusters. Unlike their bulk/macroscopic counterparts, metal nanocrystals (e.g., nanowires) do not possess a dense band of delocalized states around the Fermi level. As a result, the photoexcited electron−hole pair can be long-lived due to the smaller resonant broadening of the excited state. Some of these long-lived excited states can even form coherent molecular plasmons as shown in previous work. 9−14 Underlying the potential of using the long-lived exciton in metal nanocrystals for energy research is the diffusion length of the exciton, i.e., the distance an exciton may travel prior to its complete decay. This important property determines the feasibility of harvesting the exciton for energy conversion and the engineering requirement of making a practical device. The exciton diffusion length is intrinsically related to the exciton transfer rate and the exciton decay time. However, due to its complex many-electron nature, calculating the exciton diffusion length from first principles has been a challenging task. Cao et al. have investigated energy transfer in perfect J-aggregates by associating excitons with Bloch states. 15 The analytical expression for the transfer rate they derive goes beyond the dipolar coupling model...