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Transmission through Biased Graphene Strip

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arxiv 1105.5279 v2 pith:722SZ5BN submitted 2011-05-26 cond-mat.mes-hall hep-thmath-phmath.MPquant-ph

Transmission through Biased Graphene Strip

Hocine Bahlouli , El Bouazzaoui Choubabi , Abderrahim El Mouhafid , Ahmed Jellal This is my paper
classification cond-mat.mes-hall hep-thmath-phmath.MPquant-ph
keywords diracequationgrapheneanalyticalbiaseddiscretizationeffectivemass
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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 Poincare Map approach, based on space discretization of the original Dirac equation, and direct analytical method. These two approaches have been used to study tunneling phenomena through a biased graphene strip. The numerical results generated by the Poincare Map are in complete agreement with the analytical results.

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