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

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• 作者：Mahdi Eshghi^a ; ^b ; ^{eshgi54@gmail.com} ; ^{m.eshghi@semnan.ac.ir} ; Hosein Mehraban^a
• 关键词：Graphene ; Dirac&ndash ; Weyl equation ; Nikoforov&ndash ; Uvarov method
• 刊名：Comptes Rendus Physique
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：18
• 期：1
• 页码：47-56
• 全文大小：767 K
• 卷排序：18

文摘

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.