ABSTRACT:We report on the gradual evolution of the conductivity of spherical CdTe nanocrystals of increasing size from the regime of strong quantum confinement with truly discrete energy levels to the regime of weak confinement with closely spaced hole states. We use the high-frequency (terahertz) real and imaginary conductivities of optically injected carriers in the nanocrystals to report on the degree of quantum confinement. For the smaller CdTe nanocrystals (3 nm < radius < 5 nm), the complex terahertz conductivity is purely imaginary. For nanocrystals with radii exceeding 5 nm, we observe the onset of real conductivity, which is attributed to the increasingly smaller separation between the hole states. Remarkably, this onset occurs for a nanocrystal radius significantly smaller than the bulk exciton Bohr radius a B ∼ 7 nm and cannot be explained by purely electronic transitions between hole states, as evidenced by tight-binding calculations. The real-valued conductivity observed in the larger nanocrystals can be explained by the emergence of mixed carrier-phonon, that is, polaron, states due to hole transitions that become resonant with, and couple strongly to, optical phonon modes for larger QDs. These polaron states possess larger oscillator strengths and broader absorption, and thereby give rise to enhanced real conductivity within the nanocrystals despite the confinement. KEYWORDS: Quantum dots, nanocrystals, polaron, quantum confinement, terahertz spectroscopy, intraband absorption, conductivity D ownsizing semiconductor structures into the nanometer scale is an important trend in electronic research and manufacturing, not only for the resulting increase in performance and compactness of electronic devices. Electronic quantum confinement occurring in materials possessing dimensions smaller than the charge carrier wave function provides a unique means for tailoring electronic properties. Among zero-dimensional semiconductor nanostructures, that is, quantum dots, colloidal nanocrystals have proven to be particularly useful in optoelectronic devices such as displays and solar cells, largely due to the tunability of the bandgap by size 1 in conjunction with simple solution processing and ample control over surface functionality.The degree of electronic confinement is commonly determined by the ratio between the nanocrystal radius R and the bulk exciton Bohr radius a B , and materials are classified accordingly into the strong (R/a B < 1), intermediate (R/a B ∼ 1), or weak (R/a B ≫ 1) quantum confinement regime.
2Colloidal semiconductor nanocrystals are typically manufactured to be in the strong confinement regime. Such nanoparticles are characterized by the occurrence of discrete, "atom-like" electronic states as a result of the spatial quantum confinement of electron and hole wave functions. The electronic properties of small nanoparticles are fundamentally different from their larger-sized (or bulk) counterparts, where electronic states form continuous bands. Electronic conduction in the classical sense ...