Electronic and electromagnetic properties of nanotubes

Gregory Ya Slepyan, Sergey A. Maksimenko, Akhlesh Lakhtakia

Research output: Contribution to journalArticlepeer-review

90 Scopus citations

Abstract

A nanotube is phenomenologically modeled as a chain of atoms wrapped helically on a right circular cylinder. The semiclassical Hamiltonian of an electron is derived, using the Wannier approach for the Schrödinger equation, when the nanotube is exposed to both constant (dc) and high-frequency (ac) electromagnetic fields. The Boltzmann kinetic equation is then solved in the framework of momentum-independent relaxation time approximation. An analytical expression for electric current in a nanotube is derived. The interaction of nonlinearity and chirality is analyzed, chiefly as the dependence of a current chiral angle on the amplitude of the ac electric field. The derived expressions for the electronic transport also help in stating anisotropic impedance boundary conditions on the nanotube surface. Surface wave propagation in a carbon nanotube (CN) is examined. The idea of using CN’s as nanowaveguides in the infrared frequency range is established. Convective instability is shown to occur under special conditions in a CN exposed to an axial dc electric field.

Original languageEnglish (US)
Pages (from-to)9485-9497
Number of pages13
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume57
Issue number16
DOIs
StatePublished - Jan 1 1998

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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