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The paper discusses the Klein tunneling and Fabry-P\'erot resonances of charge carriers through a rectangular potential barrier in twisted bilayer graphene. Within the framework of the low-energy excitations, the transmission probability…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Ayoub Bahlaoui , Youness Zahidi

We obtain the solutions for the tunneling zone of a one-dimensional electrostatic potential in the relativistic (Dirac to Klein-Gordon) wave equation regime when the incoming wave packet exhibits the possibility of being almost totally…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim Apalkov , Xue-Feng Wang , Tapash Chakraborty

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

Magneto-transmission of a thin layer of bulk graphite is compared with spectra taken on multilayer epitaxial graphene prepared by thermal decomposition of a SiC crystal. We focus on the spectral features evolving as \sqrt{B}, which are…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 M. Orlita , C. Faugeras , G. Martinez , D. K. Maude , J. M. Schneider , M. Sprinkle , C. Berger , W. A. de Heer , M. Potemski

Transport properties of massive Dirac particles are investigated through an oscillating barrier. The Floquet quasienergies related to the time-dependent potential appear both in transmission and reflection as sidebands around the incoming…

Mesoscale and Nanoscale Physics · Physics 2015-03-04 Lóránt Zs. Szabó , Mihály G. Benedict , Attila Czirják , Péter Földi

We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated…

Mesoscale and Nanoscale Physics · Physics 2011-02-28 Jianmin Sun , H. A. Fertig , L. Brey

We develop an analytical mode-matching technique for the tight-binding model to describe electron transport across graphene P-N junctions. This method shares the simplicity of the conventional mode-matching technique for the low-energy…

Mesoscale and Nanoscale Physics · Physics 2018-01-29 Shu-Hui Zhang , Wen Yang

In this study, using the Dirac continuum model combined with the split-operator technique, we investigate the propagation dynamics of wave packets in graphene in the presence of circular potential barriers arranged in square and triangular…

Mesoscale and Nanoscale Physics · Physics 2025-10-02 G. M. Milibaeva , H. T. Yusupov , D. G. Berdiyorova , Y. Rakhimova , M. Yusupov , A. Chaves , Kh. Rakhimov

In this review article we discuss the recent progress in studying ballistic transport for charge carriers in graphene through highly inhomogenous magnetic field known as magnetic barrier in combination with gate voltage induced…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 Neetu Agrawal , Sankalpa Ghosh , Manish Sharma

We investigate thermoelectric transport in monolayer graphene across a finite complex barrier within a Landauer scattering framework. Solving the Dirac-Weyl problem exactly, we show that the imaginary part of the barrier renders the…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Daniel A. Bonilla , Juan A. Cañas , J. C. Pérez-Pedraza , A. Martín-Ruiz

In this paper, we study the massive Dirac equation with the presence of the Morse potential in polar coordinate. The Dirac Hamiltonian is written as two second-order differential equations in terms of two spinor wavefunctions. Since the…

Quantum Physics · Physics 2021-04-27 Z. Zali , Alireza Amani , J. Sadeghi , B. Pourhassan

We investigate the scattering of fermions off walls in the presence of a magnetic field. We consider both the bubble wall and the kink domain wall. By solving the Dirac equation for fermions in the presence of a domain wall in an external…

Astrophysics · Physics 2009-11-07 L. Campanelli , P. Cea , G. L. Fogli , L. Tedesco

We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 M. Barbier , P. Vasilopoulos , F. M. Peeters , J. Milton Pereira

We show that the transmission through single and double {\delta}-function potential barriers of strength P in bilayer graphene is periodic in P with period {\pi}. For a certain range of P values we find states that are bound to the…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , P. Vasilopoulos , F. M. Peeters

We study the effect of the shape of different potential barriers on the transmitted charged current whose fermionic population is not monoenergetic but is described by means of an energy spectrum. The generalised Kappa Fermi-Dirac…

Statistical Mechanics · Physics 2020-06-24 J. L. Domenech-Garret

Using Chebyshev polynomials, we study the electronic transport properties of massless Dirac fermions in symmetrical graphene superlattice composed of three regions. Matching wavefunctions and using transfer matrix method, we explicitly…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 El Bouâzzaoui Choubabi , Abdellatif Kamal , Ahmed Jellal

We have discovered two-dimensional zero-gap material with a layered structure in the organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$ under high hydrostatic pressure. In contrast to graphene, the electron-hole symmetry is not good except at…

Mesoscale and Nanoscale Physics · Physics 2012-01-16 N. Tajima , R. Kato , S. Sugawara , Y. Nishio , K. Kajita

The Klein paradox consists in the perfect tunneling of relativistic particles through high potential barriers. As a curious feature of particle physics, it is responsible for the exceptional conductive properties of graphene. It was…

We observe conductivity oscillations with aperiodic spacing to only one side of the tunneling current in a dual-gated graphene field effect transistor with an n-p-n type potential barrier. The spacing and width of these oscillatoins were…

Mesoscale and Nanoscale Physics · Physics 2013-07-02 Milan Begliarbekov , Onejae Sul , Nan Ai , Eui-Hyeok Yang , Stefan Strauf