TUNNELING FOR DIRAC FERMIONS IN CONSTANT MAGNETIC FIELD
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Publication:3057852
DOI10.1142/S0219887810004622zbMATH Open1202.82095arXiv0906.0097MaRDI QIDQ3057852
El Bouâzzaoui Choubabi, M. El Bouziani, A. Jellal
Publication date: 17 November 2010
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0906.0097
Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Special relativity (83A05) Statistical mechanics of nanostructures and nanoparticles (82D80)
Related Items (4)
Modeling the quantum tunneling effect for a particle with intrinsic structure in presence of external magnetic field in the Lobachevsky space ⋮ Transmissions in gapped graphene exposed to tilting and oscillating barriers ⋮ Tunneling in an anisotropic cubic Dirac semi-metal ⋮ Lower Bound on Quantum Tunneling for Strong Magnetic Fields
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