2021-08-05T00:29:47Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/228602021-06-24T07:20:14Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
A qualitative study of a nanotube model using an iterative Taylor method
Gadella Urquiza, Manuel
Lara, Luis
Negro Vadillo, Francisco Javier
Producción Científica
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.
2017-03-29
2017-03-29
2017
info:eu-repo/semantics/article
International Journal of Modern Physics C, 2017, vol. 28, n. 3. 24 p.
1793-6586
http://uvadoc.uva.es/handle/10324/22860
10.1142/S012918311750036X
eng
https://www.worldscientific.com/doi/abs/10.1142/S012918311750036X
info:eu-repo/semantics/openAccess
© 2017 World Scientific
World Scientific