Exact solution of the Dirac–Weyl equation in graphene under electric and magnetic fields

Mahdi Eshghi; Hosein Mehraban

doi:10.1016/j.crhy.2016.06.002

Original article

Exact solution of the Dirac–Weyl equation in graphene under electric and magnetic fields

Mahdi Eshghi ^1,² ; Hosein Mehraban ¹

¹ Faculty of Physics, Semnan University, Semnan, Iran
² Department of Physics, Imam Hosein Comprehensive University, Tehran, Iran

Comptes Rendus. Physique, Volume 18 (2017) no. 1, pp. 47-56.

Résumé

In this paper, we have obtained exact analytical solutions for the bound states of a graphene Dirac electron in magnetic fields with various q-parameters under an electrostatic potential. In order to solve the time-independent Dirac–Weyl equation, the Nikoforov–Uvarov (NU) and Frobenius methods have been used. We have also investigated the thermodynamic properties by using the Hurwitz zeta function method for one of the states. Finally, some of the numerical results are also shown.

Publié le : 2016-08-10

DOI : 10.1016/j.crhy.2016.06.002

Mots clés : Graphene, Dirac–Weyl equation, Nikoforov–Uvarov method

Affiliations des auteurs :

Mahdi Eshghi ^{1, 2} ; Hosein Mehraban ¹

¹ Faculty of Physics, Semnan University, Semnan, Iran
² Department of Physics, Imam Hosein Comprehensive University, Tehran, Iran

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     author = {Mahdi Eshghi and Hosein Mehraban},
     title = {Exact solution of the {Dirac{\textendash}Weyl} equation in graphene under electric and magnetic fields},
     journal = {Comptes Rendus. Physique},
     pages = {47--56},
     publisher = {Elsevier},
     volume = {18},
     number = {1},
     year = {2017},
     doi = {10.1016/j.crhy.2016.06.002},
     language = {en},
}

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Mahdi Eshghi; Hosein Mehraban. Exact solution of the Dirac–Weyl equation in graphene under electric and magnetic fields. Comptes Rendus. Physique, Volume 18 (2017) no. 1, pp. 47-56. doi : 10.1016/j.crhy.2016.06.002. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2016.06.002/

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