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

Publication date: Available online 10 August 2016 Source:Comptes Rendus Physique Author(s): Mahdi Eshghi, Hosein Mehraban 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.

Source: Comptes Rendus Physique - August 10, 2016 Category: Physics Source Type: research