Bound states in graphene under the interaction of magnetic field
Abstract
In this work we study exact solutions for the bound states for a Dirac electron in Graphene under the interacion of several external magnetic fields with translational symmetry. Using the Asymptotic Iteration Method, the time-independent Dirac-Weyl equation is solved. Finally, the behaviors of the discrete spectrum are studied.
Downloads
References
CCastro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009). The electronic properties of graphene. Reviews of Modern Physics, 81(1), 109–162. https://doi.org/10.1103/revmodphys.81.109
Cho, H. T., Cornell, A. S., Doukas, J., Huang, T.-R., & Naylor, W. (2012). A new approach to black hole quasinormal modes: A review of the asymptotic iteration method. Advances in Mathematical Physics, 2012, 1–42. https://doi.org/10.1155/2012/281705
Ciftci, H., Hall, R. L., & Saad, N. (2003). Asymptotic iteration method for eigenvalue problems. Journal of physics A: Mathematical and general, 36(47), 11807–11816. https://doi.org/10.1088/0305-4470/36/47/008
da Silva Leite, L. G., Filgueiras, C., Cogollo, D., & Silva, E. O. (2015). Influence of spatially varying pseudo-magnetic field on a 2D electron gas in graphene. Physics Letters. A, 379(10–11), 907–911. https://doi.org/10.1016/j.physleta.2015.01.007
de Souza, J. F. O., de Lima Ribeiro, C. A., & Furtado, C. (2014). Bound states in disclinated graphene with Coulomb impurities in the presence of a uniform magnetic field. Physics Letters. A, 378(30–31), 2317–2324. https://doi.org/10.1016/j.physleta.2014.05.053
Eshghi, M., & Mehraban, H. (2017). Exact solution of the Dirac–Weyl equation in graphene under electric and magnetic fields. Comptes Rendus. Physique, 18(1), 47–56. https://doi.org/10.1016/j.crhy.2016.06.002
Ghosh, T. K. (2009). Exact solutions for a Dirac electron in an exponentially decaying magnetic field. Journal of physics. Condensed matter: an Institute of Physics journal, 21(4), 045505. https://doi.org/10.1088/0953-8984/21/4/045505
Jiménez-Camargo, M., Pedraza-Ortega, O., & López-Suarez, L. A. (2022). Modos cuasi normales para un agujero negro Schwarzschild de Sitter rodeado de quintaesencia: Método de Iteración Asintótica. PÄDI boletín científico de ciencias básicas e ingenierías del ICBI, 10(Especial), 29–35. https://doi.org/10.29057/icbi.v10iespecial.8244
Kotov, V. N., Uchoa, B., Pereira, V. M., Guinea, F., & Castro Neto, A. H. (2012). Electron-electron interactions in graphene: Current status and perspectives. Reviews of Modern Physics, 84(3), 1067–1125. https://doi.org/10.1103/revmodphys.84.1067
Kuru, Ş., Negro, J., & Nieto, L. M. (2009). Exact analytic solutions for a Dirac electron moving in graphene under magnetic fields. Journal of physics. Condensed matter: an Institute of Physics journal, 21(45), 455305. https://doi.org/10.1088/0953-8984/21/45/455305
Miransky, V. A., & Shovkovy, I. A. (2015). Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals. Physics Reports, 576, 1–209. https://doi.org/10.1016/j.physrep.2015.02.003
Peres, N. M. R., & Castro, E. V. (2007). Algebraic solution of a graphene layer in transverse electric and perpendicular magnetic fields. Journal of physics. Condensed matter: an Institute of Physics journal, 19(40), 406231. https://doi.org/10.1088/0953-8984/19/40/406231
Silvestrov, P. G., & Efetov, K. B. (2007). Quantum dots in graphene. Physical Review Letters, 98(1). https://doi.org/10.1103/physrevlett.98.016802
Song, Y., & Guo, Y. (2011). Electrically induced bound state switches and near-linearly tunable optical transitions in graphene under a magnetic field. Journal of Applied Physics, 109(10). https://doi.org/10.1063/1.3583650
Copyright (c) 2023 Nancy Yarely López Juárez, Omar Pedraza Ortega, Luis Alberto López Suarez, Roberto Arceo Reyes
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.