Selective high harmonics generated from a carbon nanotube

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2021, Vol.75 (1), Article 10
• Main Authors: Furman, W. A., Reichl, L. E.
• Format: Article
• Language: English
• Subjects: Applications of Nonlinear Dynamics and Chaos Theory; Atomic; Circular polarization; Electromagnetic fields; Electrons; Harmonic radiation; Incident radiation; Molecular; Optical and Plasma Physics; Physical Chemistry; Physics; Physics and Astronomy; Quantum Information Technology; Quantum Physics; Regular Article - Optical Phenomena and Photonics; Single wall carbon nanotubes; Spectroscopy/Spectrometry; Spintronics
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/s10053-020-00012-4

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 π -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 ω , the emitted radiation for a ( p ,  p ) armchair nanotube will be ( 2 p ± 1 ) ω , ( 4 p ± 1 ) ω , etc. Graphical abstract