The Role of Superlattice Phonons in Charge Localization Across Quantum Dot Arrays

Semiconductor quantum dot (QD) assemblies are utilized in solar cells and light-harvesting devices because of their distinct physical and optical properties. Recent experiments have successfully synthesized QD molecules, arrays, and assemblies with precision by directly attaching QDs. These systems demonstrate high carrier mobility while preserving the optical properties of the individual QD components. However, despite advancements in fabricating these superstructures, a comprehensive understanding of the charge transfer process at the microscopic level is still lacking. Here, we theoretically investigated the electron transfer dynamics across finite 1-dimensional CdSe-CdS core-shell QD arrays, with $N_{\rm dot}=2,3, \cdots$ QDs. The electronic and vibronic properties of the QD arrays were calculated using a semiempirical pseudopotential method and the electron transfer dynamics were studied using a mixed quantum-classical mapping approach. We find that as $N_{\rm dot}$ increases, the superlattice bending and the symmetric stretch modes can significantly localize electron transfer in the nonadiabatic regime, particularly when the connecting neck between the QDs is narrow, resulting in charge localization for large values of $N_{\rm dot}$. This behavior is quite different in the adiabatic limit when the neck connecting the QDs is wide, where such modes can facilitate electron transfer, partially governed by decoherence times. The interplay between electronic and super-lattice couplings is thus crucial for designing high-mobility devices based on QD superlattices and avoiding charge localization.