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

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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 ω 1 = Ω and ω 2 = 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.

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Authors and Affiliations

  1. Department of Physics, Laser and Fibre Optics Centre, University of Cape Coast, Cape Coast, Ghana

    Sulemana S. Abukari, Samuel Y. Mensah, Anthony Twum & Kwadwo A. Dompreh

  2. Department of Physics, The Pennsylvania State University, Altoona College, Altoona, PA, 16601, USA

    Kofi W. Adu

  3. Materials Research Institute, The Pennsylvania State University, University Park, PA, 16802, USA

    Kofi W. Adu

  4. Department of Mathematics, University of Cape Coast, Cape Coast, Ghana

    Natalia G. Mensah

  5. Department of Applied Physics, University for Development Studies, Navorongo Campus, Ghana

    Musah Rabiu & Mathew Amekpewu

Authors
  1. Sulemana S. Abukari
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  2. Kofi W. Adu
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  3. Samuel Y. Mensah
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  4. Natalia G. Mensah
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  5. Musah Rabiu
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  6. Anthony Twum
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  7. Mathew Amekpewu
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  8. Kwadwo A. Dompreh
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Correspondence to Kofi W. Adu.

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Abukari, S., Adu, K., Mensah, S. et al. Rectification due to harmonic mixing of two coherent electromagnetic waves with commensurate frequencies in carbon nanotubes. Eur. Phys. J. B 86, 106 (2013). https://doi.org/10.1140/epjb/e2013-30011-3

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