Diameter and chirality dependence of exciton properties in carbon nanotubes (original) (raw)
We calculate the diameter and chirality dependences of the binding energies, sizes, and bright-dark splittings of excitons in semiconducting single-wall carbon nanotubes (SWNTs). Using results and insights from ab initio calculations, we employ a symmetry-based, variational method based on the effective-mass and envelope-function approximations using tight-binding wavefunctions. Binding energies and spatial extents show a leading dependence with diameter as 1/d and d, respectively, with chirality corrections providing a spread of roughly 20% with a strong family behavior. Brightdark exciton splittings show a 1/d 2 leading dependence. We provide analytical expressions for the binding energies, sizes, and splittings that should be useful to guide future experiments.
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