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    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/22860

    Título
    A qualitative study of a nanotube model using an iterative Taylor method
    Autor
    Gadella Urquiza, ManuelAutoridad UVA Orcid
    Lara, Luis
    Negro Vadillo, Francisco JavierAutoridad UVA Orcid
    Año del Documento
    2017
    Editorial
    World Scientific
    Descripción
    Producción Científica
    Documento Fuente
    International Journal of Modern Physics C, 2017, vol. 28, n. 3. 24 p.
    Resumo
    Physical properties of graphene nanotubes may strongly depend on external fields. In a recent paper V. Jakubský, S. Kuru, J. Negro, J. Phys. A: Math. Theor.47, 115307 (2014), the authors have studied a model of carbon nanotubes under the presence of an external magnetic field, chosen for some symmetry properties. The model admits an exact solution, provided that the value of a parameter, here denoted as kz, be equal to zero. This parameter is the eigenvalue of the component of the momentum in the direction of the nanotube axis. However, it seems that this parameter cannot be discarded for physical reasons. The choice of nontrivial values for this parameter produces an equation of motion for electrons in the nanotube (a Dirac–Weyl equation), which cannot be exactly solvable. Then, we proposed some iterative approximate methods to solve this equation and obtaining its eigenvalues. Some tests have shown that an iterative Taylor method is more efficient than some others we have used. For kz≠0, we have found that, excluding the minimal energy eigenvalue, the lowest energy values obtained for kz=0 split into two different ones and, therefore, producing gaps in the energy spectrum.
    Palabras Clave
    Graphene nanotubes
    Nanotubos de grafeno
    Iterative Taylor method
    Método iterativo de Taylor
    Band structures
    Teoría de bandas
    Departamento
    Física Teórica, Atómica y Óptica
    ISSN
    1793-6586
    DOI
    10.1142/S012918311750036X
    Version del Editor
    https://www.worldscientific.com/doi/abs/10.1142/S012918311750036X
    Propietario de los Derechos
    © 2017 World Scientific
    Idioma
    eng
    URI
    http://uvadoc.uva.es/handle/10324/22860
    Tipo de versión
    info:eu-repo/semantics/submittedVersion
    Derechos
    openAccess
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    Universidad de Valladolid

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