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 24-jun-2021