Electrodynamics of carbon nanotubes: Dynamic conductivity, impedance boundary conditions, and surface wave propagation

G. Ya Slepyan, S. A. Maksimenko, A. Lakhtakia, O. Yevtushenko, A. V. Gusakov

Research output: Contribution to journalArticle

370 Citations (Scopus)

Abstract

Effective boundary conditions, in the form of two-sided impedance boundary conditions, are formulated for the linear electrodynamics of single- and multishell carbon nanotubes (CN’s). The impedance is derived using the dynamic conductivity of CN’s, which is obtained for different CN’s (zigzag, armchair, and chiral) in the frame of the semiclassical as well as quantum-mechanical treatments. Propagation of surface waves in CN’s is considered. The phase velocities and the slow-wave coefficients of surface waves are explored for a wide frequency range, from the microwave to the ultraviolet regimes. Relaxation is shown to qualitatively change the dispersion characteristics in the low-frequency limit, thereby rendering the existence of weakly retarded plasmons impossible. A dispersionless propagation regime is shown possible for the surface waves in the infrared regime. Attenuation and retardation in metallic and semiconductor CN’s are compared.

Original languageEnglish (US)
Pages (from-to)17136-17149
Number of pages14
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume60
Issue number24
DOIs
StatePublished - Jan 1 1999

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Carbon Nanotubes
Electrodynamics
electrodynamics
Surface waves
Wave propagation
surface waves
wave propagation
Carbon nanotubes
carbon nanotubes
Boundary conditions
impedance
boundary conditions
conductivity
Plasmons
propagation
Phase velocity
plasmons
phase velocity
frequency ranges
attenuation

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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abstract = "Effective boundary conditions, in the form of two-sided impedance boundary conditions, are formulated for the linear electrodynamics of single- and multishell carbon nanotubes (CN’s). The impedance is derived using the dynamic conductivity of CN’s, which is obtained for different CN’s (zigzag, armchair, and chiral) in the frame of the semiclassical as well as quantum-mechanical treatments. Propagation of surface waves in CN’s is considered. The phase velocities and the slow-wave coefficients of surface waves are explored for a wide frequency range, from the microwave to the ultraviolet regimes. Relaxation is shown to qualitatively change the dispersion characteristics in the low-frequency limit, thereby rendering the existence of weakly retarded plasmons impossible. A dispersionless propagation regime is shown possible for the surface waves in the infrared regime. Attenuation and retardation in metallic and semiconductor CN’s are compared.",
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Electrodynamics of carbon nanotubes : Dynamic conductivity, impedance boundary conditions, and surface wave propagation. / Slepyan, G. Ya; Maksimenko, S. A.; Lakhtakia, A.; Yevtushenko, O.; Gusakov, A. V.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 60, No. 24, 01.01.1999, p. 17136-17149.

Research output: Contribution to journalArticle

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AU - Slepyan, G. Ya

AU - Maksimenko, S. A.

AU - Lakhtakia, A.

AU - Yevtushenko, O.

AU - Gusakov, A. V.

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