RT info:eu-repo/semantics/article T1 A qualitative study of a nanotube model using an iterative Taylor method A1 Gadella Urquiza, Manuel A1 Lara, Luis A1 Negro Vadillo, Francisco Javier K1 Graphene nanotubes K1 Nanotubos de grafeno K1 Iterative Taylor method K1 Método iterativo de Taylor K1 Band structures K1 Teoría de bandas AB 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. PB World Scientific SN 1793-6586 YR 2017 FD 2017 LK http://uvadoc.uva.es/handle/10324/22860 UL http://uvadoc.uva.es/handle/10324/22860 LA eng NO International Journal of Modern Physics C, 2017, vol. 28, n. 3. 24 p. NO Producción Científica NO Física Teórica, Atómica y Óptica DS UVaDOC RD 28-mar-2024