Research Papers

Electrodynamics of chiral carbon nanotubes in the helical parametrization scheme

[+] Author Affiliations
Sergey Maksimenko, Arkadii Khrushchinsky, Gregory Slepyan

Belarus State University

Oleg Kibis

Novosibirsk State Technical University

J. Nanophoton. 1(1), 013505 (February 2, 2007). doi:10.1117/1.2710766
History: Received December 8, 2006; Revised January 30, 2007; Accepted January 30, 2007; February 2, 2007; Online February 02, 2007
Text Size: A A A

Abstract

Basic equations of electrodynamics of carbon nanotubes (CNTs are formulated in the helical parametrization scheme, where the crystalline structure of non-zigzag (n_1,n_2) CNTs is described as a set of n_2 double helices, and the electron energy spectrum of the CNTs consists of n_2 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.

© 2007 Society of Photo-Optical Instrumentation Engineers

Citation

Sergey Maksimenko ; Arkadii Khrushchinsky ; Gregory Slepyan and Oleg Kibis
"Electrodynamics of chiral carbon nanotubes in the helical parametrization scheme", J. Nanophoton. 1(1), 013505 (February 2, 2007). ; http://dx.doi.org/10.1117/1.2710766


Figures

Tables

Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging & repositioning the boxes below.

Related Book Chapters

Topic Collections

PubMed Articles
Advertisement
  • Don't have an account?
  • Subscribe to the SPIE Digital Library
  • Create a FREE account to sign up for Digital Library content alerts and gain access to institutional subscriptions remotely.
Access This Article
Sign in or Create a personal account to Buy this article ($20 for members, $25 for non-members).
Access This Proceeding
Sign in or Create a personal account to Buy this article ($15 for members, $18 for non-members).
Access This Chapter

Access to SPIE eBooks is limited to subscribing institutions and is not available as part of a personal subscription. Print or electronic versions of individual SPIE books may be purchased via SPIE.org.