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Diameter and Chirality Dependence of Exciton Properties in Carbon Nanotubes | | Rodrigo B. Capaz
; Catalin D. Spataru
; Sohrab Ismail-Beigi
; Steven G. Louie
; PostScript
; PDF
; Other formats
; | | Date: |
18 Jun 2006 | | Subject: | Materials Science | | Abstract: | 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 {it 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. Bright-dark 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. | | Source: | arXiv, cond-mat/0606474 | | Services: | Forum | Review | PDF | Favorites | |
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