Diameter and chirality dependence of exciton properties in carbon nanotubes
By Rodrigo B. Capaz, C. Spataru, S. Ismail‐Beigi, Steven G. Louie. 2006
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We calculate the diameter and chirality dependences of the binding energies, sizes, and bright-dark splittings of excitons in semiconducting single-wall carbon nanotubes. Using results and insights from ab initio calculations, we employ a symmetry-based variational method within the effective-mass and envelope-function approximations using tight-binding wave functions. Binding energies and spatial extents show a leading dependence on 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.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/af99ffb9dac947b722a6bd40fd1e07ec75a6f77a
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Citations in the corpus
- Size and mobility of excitons in (6, 5) carbon nanotubes (2009, background): “: The relative motion exciton wavefunction in one dimension can be approximated by a Gaussian functio”