The expression for the screened Coulomb potential V͑z , ; R͒ reported on p. 3 of our paper and in the related auxiliary material ͑see Ref. 31 of our paper͒ is incorrect. The correct Hamiltonian in a.u. reads:where ⑀ is the dielectric constant, D is the diameter of the tube, and ͑z , ͒ the relative coordinates of the electron and the hole on the tube surface. The exciton binding energies are calculated following the procedure described in the manuscript, and the new values are reported in the last column of Table I. The effective masses m * are computed within a tight-binding approach; 1 the dielectric constant ⑀, which is our fitting parameter, is 4.4± 0.3.These results for the exciton binding energies differ very little from the published ones ͑Ͻ0.05 eV͒, and the differences are well below the accuracy expected for these model calculations. We confirm our estimate for the exciton binding energies to be 0.3-0.4 eV for nanotubes with diameters between 6.8 Å and 9.0 Å.The main results of the paper, i.e., the experiments and the ab initio calculations, are not affected by this erratum. All conclusions remain valid.
Excitonic effects in the linear and nonlinear optical properties of single-walled carbon nanotubes are manifested by photoluminescence excitation experiments and ab initio calculations. One- and two-photon spectra showed a series of exciton states; their energy splitting is the fingerprint of excitonic interactions in carbon nanotubes. By ab initio calculations we determine the energies, wave functions, and symmetries of the excitonic states. Combining experiment and theory we find binding energies of 0.3–0.4 eV for nanotubes with diameters between 6.8 and 9.0 Å
We demonstrate an ultrafast manipulation of the Rabi splitting energy Ω(R) in a metal-molecular aggregate hybrid nanostructure. Femtosecond excitation drastically alters the optical properties of a model system formed by coating a gold nanoslit array with a thin J-aggregated dye layer. Controlled and reversible transient switching from strong (Ω(R) ≃ 55 meV) to weak (Ω(R) ≈ 0) coupling on a sub-ps time scale is directly evidenced by mapping the nonequilibrium dispersion relations of the coupled excitations. Such a strong, externally controllable coupling of excitons and surface plasmon polaritons is of considerable interest for ultrafast all-optical switching applications in nanoscale plasmonic circuits.
We report measurements of a coherent coupling between surface plasmon polaritons (SPP) and quantum well excitons in a hybrid metal-semiconductor nanostructure. The hybrid structure is designed to optimize the radiative exciton-SPP interaction which is probed by low-temperature, angle-resolved, far-field reflectivity spectroscopy. As a result of the coupling, a significant shift of approximately 7 meV and an increase in broadening by approximately 4 meV of the quantum well exciton resonance are observed. The experiments are corroborated by a phenomenological coupled-oscillator model predicting coupling strengths as large as 50 meV in structures with optimized detunings between the coupled exciton and SPP resonances. Such a strong interaction can, e.g., be used to enhance the luminescence yield of semiconductor quantum structures or to amplify SPP waves.
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