Quantitative calculations of the excitonic energy spectra of semiconducting single-walled carbon nanotubes within a $π$-electron model

Details Quantitative calculations of the excitonic energy spectra of semiconducting single-walled carbon nanotubes within a $π$-electron model Quantitative calculations of the excitonic energy spectra of semiconducting single-walled carbon nanotubes within a $π$-electron model

2006-06-02

arxiv.org/abs/cond-mat/0606077v1

Phys. Rev. B 74, 195406 (2006)

Physics

Condensed Matter

Materials Science

6 pages, 2 figures, 2 tables

Scientific paper

10.1103/PhysRevB.74.195406

Using Coulomb correlation parameters appropriate for $\pi$-conjugated polymers (PCPs), and a nearest neighbor hopping integral that is arrived at by fitting the energy spectra of three zigzag semiconducting single-walled carbon nanotubes (S-SWCNTs), we are able to determine quantitatively the exciton energies and exciton binding energies of 29 S-SWCNTs within a semiempirical $\pi$-electron Hamiltonian that has been widely used for PCPs. Our work establishes the existence of a deep and fundamental relationship between PCPs and S-SWCNTs.

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