Electrodynamics of chiral carbon nanotubes in the helical parametrization scheme

Sergey A. Maksimenko, Arkadii A. Khrushchinsky, Gregory Ya Slepyan, Oleg V. Kibisb

Research output: Contribution to journalArticlepeer-review


Basic equations of electrodynamics of carbon nanotubes (CNTs) are formulated in the helical parametrization scheme, where the crystalline structure of non-zigzag (n1, n2) CNTs is described as a set of n2 double helices, and the electron energy spectrum of the CNTs consists of n2 different helicoidal branches. The parametrization scheme is shown to be natural and more convenient for analyzing the electromagnetic response properties of chiral CNTs. Bloch equations for the density matrix have been obtained and adapted for the helical parametrization that allows studying the interaction between chiral CNTs and electromagnetic fields with arbitrary polarization and spatial structure. Linear transverse conductivity of chiral CNTs has been derived and utilized for the formulation of the effective boundary conditions for electromagnetic field on the surface of a chiral CNT. As an example, the spectra of high-order harmonics in chiral CNTs have been evaluated from the Bloch equations.

Original languageEnglish
Article number13505
JournalJournal of Nanophotonics
Issue number1
StatePublished - 2007
Externally publishedYes


  • Carbon nanotubes
  • Chirality
  • Electromagnetic waves
  • Optical nonlinearity


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