Transmission through biased graphene strip |
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| Authors: | H Bahlouli EB Choubabi A El Mouhafid A Jellal |
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| Institution: | a Saudi Center for Theoretical Physics, Dhahran, Saudi Arabiab Physics Department, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabiac Theoretical Physics Group, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000 El Jadida, Moroccod Physics Department, College of Sciences, King Faisal University, PO Box 9149, Alahsa 31982, Saudi Arabia |
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| Abstract: | We solve the 2D Dirac equation describing graphene in the presence of a linear vector potential. The discretization of the transverse momentum due to the infinite mass boundary condition reduced our 2D Dirac equation to an effective massive 1D Dirac equation with an effective mass equal to the quantized transverse momentum. We use both a numerical Poincaré map approach, based on space discretization of the original Dirac equation, and a direct analytical method. These two approaches have been used to study tunneling phenomena through a biased graphene strip. The numerical results generated by the Poincaré map are in complete agreement with the analytical results. |
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| Keywords: | A Graphene D Tunneling D Linear potential E Dirac |
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