Tunneling for Dirac Fermions in Constant Magnetic Field

Abstract

The tunneling effect of two-dimensional Dirac fermions in a constant magnetic field is studied. This can be done by using the continuity equation at some points to determine the corresponding reflexion and transmission coefficients. For this, we consider a system made of graphene as superposition of two different regions where the second is characterized by an energy gap t'. In fact, we treat concrete systems to practically give two illustrations: barrier and diode. For each case, we discuss the transmission in terms of the ratio of the energy conservation and t'. Moreover, we analyze the resonant tunneling by introducing a scalar Lorentz potential where it is shown that a total transmission is possible.

21 pages, 6 figures, misprints corrected

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Cited by in corpus (8)

• Tunneling of Graphene Massive Dirac Fermions through a Double Barrier
• Effect of Magnetic Field on Goos-Hänchen Shifts in Gaped Graphene Triangular Barrier
• Transmission through Biased Graphene Strip
• Tunneling of Electrons in Graphene via Double Triangular Barrier in External Fields
• Dirac Fermions in Inhomogeneous Magnetic Field
• Transport Properties for Triangular Barriers in Graphene
• Bound states for massive Dirac fermions in graphene in a magnetic step field
• Transmissions in gapped graphene exposed to tilting and oscillating barriers