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We introduce a two-dimensional model of spin-1/2 Dirac fermions in graphene subjected to a highly tunable electric field, which exhibits super-Klein tunneling. The electric field can be continuously interpolated between two limiting…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Alonso Contreras-Astorga , Francisco Correa , Luis Inzunza , Vit Jakubsky , Raul Valencia-Torres

We study the transmission and group delay time for fermions in graphene under a proximity exchange field scattered by double barriers. Solving the Dirac equation over five regions, we calculate transmission and reflection coefficients using…

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

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

Superconductivity can be induced in a normal material via the leakage of superconducting pairs of charge carriers from an adjacent superconductor. This so-called proximity effect is markedly influenced by graphene unique electronic…

Insights into the fundamental properties of graphene's Dirac-Weyl fermions have emerged from studies of electron tunnelling transistors in which an atomically thin layer of hexagonal boron nitride (hBN) is sandwiched between two layers of…

Exact stationary solutions of the electron-photon Dirac equation are obtained to describe the strong interaction between massless Dirac fermions in graphene and circularly polarized photons. It follows from them that this interaction forms…

Mesoscale and Nanoscale Physics · Physics 2010-04-26 O. V. Kibis

Magnetic gates in close proximity to graphene can induce ferromagnetic correlations. We study the effect of such induced magnetization dependent Zeeman splittings on the graphene transport properties. We estimate that induced spin…

Mesoscale and Nanoscale Physics · Physics 2008-03-07 H. Haugen , Daniel Huertas-Hernando , Arne Brataas

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

We study electron transport in a strained graphene sheet subjected to a sequence of $N$ electrostatic and magnetic barriers. Employing a modified and improved transfer-matrix framework, we examine how the transmission and reflection…

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 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

Graphene is convenient material for nanomechanichal applications since high-frequency oscillations are easily accessible. In this Article, we consider graphene on a rough substrate attached to imperfections at random locations. We explore…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Mariya V. Medvedyeva , Yaroslav M. Blanter

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…

High Energy Physics - Theory · Physics 2011-04-28 El Bouazzaoui Choubabi , Mohamed El Bouziani , Ahmed Jellal

The low-energy electronic properties of strained graphene are usually obtained by transforming the bond vectors according to the Cauchy-Born rule. In this work, we derive a new effective Dirac Hamiltonian by assuming a more general…

Mesoscale and Nanoscale Physics · Physics 2018-07-09 Maurice Oliva-Leyva , Chumin Wang

A spatially modulated Dirac gap in a graphene sheet leads to charge confinement, thus enabling a graphene quantum dot to be formed without the application of external electric and magnetic fields [Appl. Phys. Lett. \textbf{97}, 243106…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 G. Giavaras , Franco Nori

We present a technique to fabricate tunnel junctions between graphene and Al and Cu, with a Si back gate, as well as a simple theory of tunneling between a metal and graphene. We map the differential conductance of our junctions versus…

Mesoscale and Nanoscale Physics · Physics 2011-03-22 C. E. Malec , D. Davidovic

We introduce a generalized Hamiltonian describing not only all topological phases observed experimentally in Kekul\'e graphene (KekGr) but predicting also new ones. These phases show features like a quadratic band crossing point, valley…

Mesoscale and Nanoscale Physics · Physics 2021-11-12 Santiago Galván y García , Thomas Stegmann , Yonatan Betancur-Ocampo

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

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

A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Paula Fekete , Liubov Zhemchuzhna