Analytic Study of Optical, Electro-optical and Magnetooptical Properties of Cabon Nanotubes

Abbas Zarifi

    Publikation: Bog/antologi/afhandling/rapportPh.d.-afhandlingForskning


    Multi-wall and single-wall carbon nanotubes (SWCNs) have attracted considerable amount
    of attention in nanoscience due to their unique physical properties and great potential for
    nanotechnology applications. The SWCNs are more fundamental and had been the basis
    for a large body of theoretical studies and predictions that preceded the experimental
    observation of SWCNs. In this thesis, we have used a tight binding model with nearest
    neighbor interactions to investigate the electric dipole matrix elements and subsequently the
    linear susceptibility as a function of optical frequency for SWCNs. We have derived an
    analytic expression for the linear optical susceptibility of single wall zigzag CNs for light
    polarized parallel to the nanotube axis. For light polarized perpendicular to the nanotube
    axis, a closed-form expression for the electric dipole matrix element has been obtained.
    Hence, numerical evaluation of the perpendicular susceptibility has been greatly simplified.
    By simplifying the long-axis linear susceptibility, analytic expression for the quadratic
    electro-optic effect in semiconducting zigzag CNs including the transitions between all pairs
    of valence and conduction bands has been obtained. We further have derived closed-form
    expressions for the dipole matrix elements for both parallel and perpendicular polarizations
    and hence general expressions for diagonal and off-diagonal elements of the optical
    susceptibility for zigzag CNs in the presence of an axial static magnetic field. The offdiagonal
    elements have been applied to calculate the interband Faraday rotation and the
    Verdet constant. Finally, we have derived a universal analytic expression for the long-axis
    linear susceptibility of SWCNs near the Fermi level, valid for arbitrary diameter and chirality
    and hence an analytic expression for the quadratic electro-optic effect has been derived for
    arbitrary semiconducting SWCNs.
    ForlagDepartment of Physics and Nanotechnology, Aalborg University
    ISBN (Trykt)978-87-89145-04-9
    StatusUdgivet - 2008


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