Theoretical consideration of electromagnetic scattering by single-wall carbon nanotubes (SWNTs) and SWNT arrays requires knowledge of the linear surface conductivity of an SWNT. An expression for the surface conductivity of an infinitely long SWNT was derived by Slepyan et al. [Phys. Rev. B 60, 17136-17149 (1999)]. The twin purposes of this tutorial are to succinctly discuss the derivation using the density matrix formalism and to provide ready-to-use expressions.
Bibliographical noteFunding Information:
This research was partially supported by the Belarus Republican Foundation for Fundamental Research under Project Nos. F10CO-020 and N. EU FP7 under Project No. FP7-266529 BY-NanoERA. A.M. is grateful to Dr. Sergey Maksimenko, Dr. Gregory Slepyan, and Professor Akhlesh Lakhtakia for their invaluable help in developing the methods presented in the tutorial.
- Carbon nanotube
- Density matrix
- Surface conductivity