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

Abstract

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.

arXiv comment6 pages, 2 figures, 2 tables

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• Theory of interfacial charge-transfer complex photophysics in $\pi$-conjugated polymer-fullerene blends
• Photophysics of charge-transfer excitons in thin films of π-conjugated polymers
• Correlated Electronic Properties of Some Graphene Nanoribbons: A DMRG Study
• Subgap Two-Photon States in Polycyclic Aromatic Hydrocarbons: Evidence for Strong Electron Correlations
• pi-Electron theory of transverse optical excitons in semiconducting single-walled carbon nanotubes
• Electron-electron interaction effects on the photophysics of metallic single-walled carbon nanotubes
• Does Singlet Fission Enhance the Performance of Organic Solar Cells?
• Observation of Exciton-Phonon Sideband in Individual Metallic Single-Walled Carbon Nanotubes
• Elucidation of the electronic structure of semiconducting single-walled carbon nanotubes by electroabsorption spectroscopy
• Triplet excitations in carbon nanostructures
• Triplet excitations in graphene-based systems
• Universality in the Photophysics of pi-Conjugated Polymers and Single-Walled Carbon Nanotubes