Excitonic Effects and Optical Response of Nanotubes
Steven G. Louie
Owing to their symmetry and reduced dimensionality, electron-electron
Coulomb interaction often strongly influences the behavior of
quasi-one-dimensional systems. We show, through first-principles excited-state
calculations, that the optical response of carbon nanotubes is qualitatively
altered by many-electron interaction effects.[1, 2] It is discovered that
exciton states in the semiconducting tubes have binding energies that are orders
of magnitude larger than bulk semiconductors and hence they dominate the optical
spectrum at all temperature, and that bound excitons can exist even in metallic
carbon nanotubes. These predictions demonstrate the crucial importance of an
exciton picture in interpreting experimental data. Similar studies show that
excitonic effects are even stronger in the BN nanotubes. For both carbon and BN
nanotubes, in addition to the optically active (bright) exciton states, theory
predicts a number of optically inactive or very weak oscillator strength (dark)
exciton states. We have further performed analysis and modeling of the exciton
properties (symmetry, binding energy, exciton size, oscillator strength, and
radiative lifetime) as a function of factors such as tube diameter, chirality,
temperature, and screening due to external medium. The physics behind these
phenomena is discussed.
1. C. D. Spataru, S. Ismail-Beigi, L. X. Benedict, and S. G. Louie, Phys. Rev.
Lett. 92, 077402 (2004).
2. C. D. Spataru, S. Ismail-Beigi, L. X. Benedict, and S. G. Louie, Appl. Phys.
A78, 1129 (2004).
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