Rectification due to harmonic mixing of two coherent electromagnetic waves with commensurate frequencies in carbon nanotubes

Sulemana S. Abukari, Kofi W. Adu, Samuel Y. Mensah, Natalia G. Mensah, Musah Rabiu, Anthony Twum, Mathew Amekpewu, Kwadwo A. Dompreh

Research output: Contribution to journalArticle

Abstract

We report on a theoretical investigation of carbon nanotubes subjected to a pure alternating electric field consisting of two phase-shifted harmonic fields of frequencies ω1 = Ω and ω2 = 2Ω (harmonic mixing) without any direct current bias. We employed a tight-binding approximation for the description of the energy bands of the carbon nanotubes and the Boltzmann transport equation with constant relaxation time approximation. The results are compared to that of a superlattice under similar conditions. The results indicate a direct current generation by the carbon nanotubes due to the harmonic mixing. The described effect is in essence, due to the nonlinearity associated with the non-parabolicity of the electron energy band, which is greater in the carbon nanotubes than the superlattices. The strong effect observed in the carbon nanotubes is attributed to the stark components and the specific dispersion law inherent in hexagonal crystalline structure of the carbon nanotubes.

Original languageEnglish (US)
Article number106
JournalEuropean Physical Journal B
Volume86
Issue number3
DOIs
StatePublished - Mar 1 2013

Fingerprint

Carbon Nanotubes
rectification
Electromagnetic waves
Carbon nanotubes
electromagnetic radiation
carbon nanotubes
harmonics
Band structure
energy bands
direct current
Boltzmann transport equation
Bias currents
Superlattices
approximation
Relaxation time
superlattices
relaxation time
nonlinearity
Electric fields
electron energy

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Abukari, Sulemana S. ; Adu, Kofi W. ; Mensah, Samuel Y. ; Mensah, Natalia G. ; Rabiu, Musah ; Twum, Anthony ; Amekpewu, Mathew ; Dompreh, Kwadwo A. / Rectification due to harmonic mixing of two coherent electromagnetic waves with commensurate frequencies in carbon nanotubes. In: European Physical Journal B. 2013 ; Vol. 86, No. 3.
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Rectification due to harmonic mixing of two coherent electromagnetic waves with commensurate frequencies in carbon nanotubes. / Abukari, Sulemana S.; Adu, Kofi W.; Mensah, Samuel Y.; Mensah, Natalia G.; Rabiu, Musah; Twum, Anthony; Amekpewu, Mathew; Dompreh, Kwadwo A.

In: European Physical Journal B, Vol. 86, No. 3, 106, 01.03.2013.

Research output: Contribution to journalArticle

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AU - Adu, Kofi W.

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AU - Mensah, Natalia G.

AU - Rabiu, Musah

AU - Twum, Anthony

AU - Amekpewu, Mathew

AU - Dompreh, Kwadwo A.

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