Diameter Dependence of the Dielectric Constant for the Excitonic Transition Energy of Single-Wall Carbon Nanotubes
Author(s)Dresselhaus, Mildred; Jorio, A.; Saito, R.; Sato, K.; Araujo, Paulo Antonio Trinidade
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The measured optical transition energies Eii of single-wall carbon nanotubes are compared with bright exciton energy calculations. The Eii differences between experiment and theory are minimized by considering a diameter-dependent dielectric constant κ, which comprises the screening from the tube and from the environment. Different κ dependencies are obtained for (E[subscript 11]S, E[subscript 22]S, E[subscript 11]M) relative to (E[subscript 33]S, E[subscript 44]S). A changing environment changes the κ diameter dependence for (E[subscript 11]S, E[subscript 22]S, E[subscript 11]M), but for (E[subscript 33]S, E[subscript 44]S) the environmental effects are minimal. The resulting calculated exciton energies reproduce experimental Eii values within ±70 meV for a diameter range (0.7<dt<3.8 nm) and 1.2<Eii<2.7 eV, thus providing a theoretical justification for Eii, environmental effects and important insights on the dielectric screening in one-dimensional structures.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Massachusetts Institute of Technology. Department of Physics
Physical Review Letters
American Physical Society
Araujo, P. T. et al. “Diameter Dependence of the Dielectric Constant for the Excitonic Transition Energy of Single-Wall Carbon Nanotubes.” Physical Review Letters 103.14 (2009): 146802. © 2009 The American Physical Society.
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