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Electrostatic confinement of charge carriers in graphene is governed by Klein tunneling, a relativistic quantum process in which particle-hole transmutation leads to unusual anisotropic transmission at pn junction boundaries. Reflection and…

Tunnelling of electrons in graphene-based junctions is studied theoretically. Graphene is assumed to be deposited either directly on a ferromagnetic insulator or on a few atomic layers of boron nitride which separate graphene from a…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jędrzej Tepper , Józef Barnaś

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential in the presence of an external magnetic field. Our system made of two triangular potential barrier regions separated by a…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

Klein tunneling and conductance for Dirac fermions in ABC-stacked trilayer graphene (ABC-TLG) through symmetric and asymmetric double potential barriers are investigated using the two and six-band continuum model. Numerical results for our…

Mesoscale and Nanoscale Physics · Physics 2021-10-01 Abderrahim El Mouhafid , Ahmed Jellal , Miloud Mekkaoui

This article provides a pedagogical review on Klein tunneling in graphene, i.e. the peculiar tunneling properties of two-dimensional massless Dirac electrons. We consider two simple situations in detail: a massless Dirac electron incident…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 P. E. Allain , J. N. Fuchs

Whereas massless Dirac fermions in monolayer graphene exhibit Klein tunneling when passing through a potential barrier upon normal incidence, such a barrier totally reflects massive Dirac fermions in bilayer graphene due to difference in…

Mesoscale and Nanoscale Physics · Physics 2012-04-09 Neetu Agrawal , Sameer Grover , Sankalpa Ghosh , Manish Sharma

Extended defects in graphene, such as linear edges, break the translational invariance and can also have an impact on the symmetries specific to massless Dirac-like quasiparticles in this material. The paper examines the consequences of a…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 Grigory Tkachov , Martina Hentschel

Due to Klein tunneling, electrostatic potentials are unable to confine Dirac electrons. We show that it is possible to confine massless Dirac fermions in a monolayer graphene sheet by inhomogeneous magnetic fields. This allows one to design…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. De Martino , L. Dell'Anna , R. Egger

In this article, we investigate the effect of next-to-the-nearest atom hopping on Klein tunnelling in graphene. An effective quantum dynamics equation is obtained based on an emergent generalized Dirac structure by analyzing the…

Mesoscale and Nanoscale Physics · Physics 2022-04-14 Naveed Ahmad Shah , Alonso Contreras-Astorga , François Fillion-Gourdeau , M. A. H Ahsan , Steve MacLean , Mir Faizal

We study the tunneling of Dirac fermions in graphene through a double barrier potential allowing the carriers to have an effective mass inside the barrier as generated by a lattice miss-match with the boron nitride substrate. The…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 Hocine Bahlouli , El Bouazzaoui Choubabi , Ahmed Jellal , Miloud Mekkaoui

Charge carriers in single and multilayered graphene systems behave as chiral particles due to the particular lattice symmetry of the crystal. We show that the interplay between the meta-material properties of graphene multilayers and the…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 B. Van Duppen , F. M. Peeters

Massless Dirac fermions in graphene provide unprecedented opportunities to realize the Klein paradox, which is one of the most exotic and striking properties of relativistic particles. In the seminal theoretical work [Katsnelson et al.,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Ke-Ke Bai , Jia-Bin Qiao , Hua Jiang , Haiwen Liu , Lin He

We study the tunneling effect of Dirac fermions in a graphene sheet by introducing a potential barrier in a region of width $D$ exposed to laser field. This sheet is placed on a boron nitride/ferromagnetic substrate such as cobalt or…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Rachid El Aitouni , Ahmed Jellal , Pablo Díaz , David Laroze

We study the transport properties of Dirac fermions in ABC trilayer graphene (ABC-TLG) superlattices. More specifically, we analyze the impact of varying the physical parameters -- the number of cells, barrier/well width, and barrier…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Mouhamadou Hassane Saley , Jaouad El-hassouny , Abderrahim El Mouhafid , Ahmed Jellal

We theoretically investigate Klein tunneling processes in photonic artificial graphene. Klein tunneling is a phenomenon in which a particle with Dirac dispersion going through a potential step shows a characteristic angle- and…

Optics · Physics 2017-07-21 Tomoki Ozawa , Alberto Amo , Jacqueline Bloch , Iacopo Carusotto

The coupling of charge carrier motion and pseudospin via chirality for massless Dirac fermions in monolayer graphene has generated dramatic consequences, such as the unusual quantum Hall effect and Klein tunneling. In bilayer graphene,…

Mesoscale and Nanoscale Physics · Physics 2016-11-17 Kyunghoon Lee , Seunghyun Lee , Yun Suk Eo , Cagliyan Kurdak , Zhaohui Zhong

The so-called Klein paradox - unimpeded penetration of relativistic particles through high and wide potential barriers - is one of the most exotic and counterintuitive consequences of quantum electrodynamics (QED). The phenomenon is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson , K. S. Novoselov , A. K. Geim

We investigate the interplay between confinement and the fermion doubling problem in Dirac-like Hamiltonians. Individually, both features are well known. First, simple electrostatic gates do not confine electrons due to the Klein tunneling.…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 B. Messias de Resende , F. Crasto de Lima , R. H. Miwa , E. Vernek , G. J. Ferreira

The inherent asymmetry of the electric transport in graphene is attributed to Klein tunneling across barriers defined by $\textit{pn}$-interfaces between positively and negatively charged regions. By combining conductance and shot noise…

Mesoscale and Nanoscale Physics · Physics 2019-10-04 Antti Laitinen , G. S. Paraoanu , Mika Oksanen , Monica F. Craciun , Saverio Russo , Edouard Sonin , Pertti Hakonen

The hybridization of $\sigma$ and $\pi$ orbitals of carbon atoms in graphene depends on the surface curvature. Considering a single junction between flat and rippled graphene subsystems, it is found an accumulation of charge in the rippled…

Mesoscale and Nanoscale Physics · Physics 2019-11-19 M. Pudlak , R. G. Nazmitdinov
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