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Selective high harmonics generated from a carbon nanotube

  • Regular Article - Optical Phenomena and Photonics
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Abstract

Selective high-order harmonic radiation can be generated when circularly polarized driving fields interact with single-walled carbon nanotubes. We obtain a gauge-covariant Hamiltonian for electrons confined to a nanotube surface in the presence of a circularly polarized electromagnetic field. Regularized delta-functions are used to approximate the \({\pi }\)-bonds in the nanotube unit cells, and the electron dynamics, in the presence of the field, is analyzed. The high harmonic radiation occurs for incident field intensities high enough to induce significant nonlinearities and chaos in the electron dynamics. Both (5, 5) and (10, 10) armchair nanotubes are considered and the electron quantum dynamics is modeled using Floquet–Bloch theory. The behavior of the quasienergy spectrum, Floquet states, and the electron current are described for varying intensities of the incident field. We show that, for incident radiation with frequency \({\omega }\), the emitted radiation for a (p, p) armchair nanotube will be \((2p\pm 1){\omega }\), \((4p\pm 1){\omega }\), etc.

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Data Availability Statement

“This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data has been listed.]

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Acknowledgements

The authors thank the Robert A. Welch Foundation (Grant No. F-1051) for support of this work.

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Authors and Affiliations

  1. Center for Complex Quantum Systems and Department of Physics, The University of Texas at Austin, Austin, TX, 78712, USA

    W. A. Furman & L. E. Reichl

Authors
  1. W. A. Furman
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  2. L. E. Reichl
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Corresponding author

Correspondence to L. E. Reichl.

Additional information

W.A.F. performed the numerical calculations and obtained the numerical results presented in the paper. L.E.R. suggested the research topic and contributed to the theoretical structure of the paper.

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Furman, W.A., Reichl, L.E. Selective high harmonics generated from a carbon nanotube. Eur. Phys. J. D 75, 10 (2021). https://doi.org/10.1140/epjd/s10053-020-00012-4

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  • DOI: https://doi.org/10.1140/epjd/s10053-020-00012-4

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