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Effects of disorder on the electronic transport properties of graphene are strongly affected by the Dirac nature of the charge carriers in graphene. This is particularly pronounced near the Dirac point, where relativistic charge carriers…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Atikur Rahman , Janice Wynn Guikema , Nina Markovic

We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

We theoretically study a current switch that exploits the phase acquired by a charge carrier as it tunnels through a potential barrier in graphene. The system acts as an interferometer based on an armchair graphene quantum ring, where the…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 D. J. P. de Sousa , Andrey Chaves , J. M. Pereira , G. A. Farias

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

The group delay time of Dirac fermions subjected to a tilting barrier potential along the $ x $-axis is investigated in graphene. We start by finding the eigenspinor solution of the Dirac equation and then relating it to incident,…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 Youssef Fattasse , Miloud Mekkaoui , Ahmed Jellal , Abdelhadi Bahaoui

We study the transport properties of Dirac fermions in a graphene-based double-barrier structure composed of two tilted-cone regions separated by a central pristine graphene region. Using the transfer matrix method, we systematically…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 M. Raggui , O. Habti , A. Kamal , E. B. Choubabi

The chemical stability of graphene and other free-standing two-dimensional crystals means that they can be stacked in different combinations to produce a new class of functional materials, designed for specific device applications. Here we…

Mesoscale and Nanoscale Physics · Physics 2013-05-03 L. Britnell , R. V. Gorbachev , A. K. Geim , L. A. Ponomarenko , A. Mishchenko , M. T. Greenaway , T. M. Fromhold , K. S. Novoselov , L. Eaves

We study the behavior of charge carriers in graphene in inhomogeneous perpendicular magnetic fields. We consider two types of one-dimensional magnetic profiles, uniform in one direction: a sequence of N magnetic barriers, and a sequence of…

Mesoscale and Nanoscale Physics · Physics 2009-01-27 L. Dell'Anna , A. De Martino

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

A connection is established between the continuum limit of the low-energy tight-binding description of graphene immersed in an in-plane magnetic field and the Chiral Magnetic Effect in Quantum Chromodynamics. A combination of mass gaps that…

High Energy Physics - Phenomenology · Physics 2018-12-05 Ana Julia Mizher , Saul Hernandez-Ortiz , Alfredo Raya , Cristian Villavicencio

It is highly desirable to integrate graphene into existing semiconductor technology, where the combined system is thermodynamically stable yet maintain a Dirac cone at the Fermi level. Firstprinciples calculations reveal that a certain…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 Yuanchang Li , Pengcheng Chen , Gang Zhou , Jia Li , Jian Wu , Bing-Lin Gu , S. B. Zhang , Wenhui Duan

We explore the gapped graphene structure in the two-dimensional plane in the presence of the Rosen-Morse potential and an external uniform magnetic field. In order to describe the corresponding structure, we consider the propagation of…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 A. Kalani , Alireza Amani , M. A. Ramzanpour

We study Dirac fermions in gapped graphene that are subjected to a magnetic field and a potential barrier harmonically oscillating in time. The tunneling modes inside the gap and the associated Goos-H\"anchen (GH) shifts are analytically…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

We study the charge carriers transport in an AA-stacked bilayer graphene modulated by a lateral one-dimensional multibarrier structure. We investigate the band structures of our system, that is made up of two shifted Dirac cones, for finite…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Ilham Redouani , Ahmed Jellal

The physics of graphene is acting as a bridge between quantum field theory and condensed matter physics due to the special quality of the graphene quasiparticles behaving as massless two dimensional Dirac fermions. Moreover, the particular…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. A. H. Vozmediano , M. I. Katsnelson , F. Guinea

We investigate the scattering of a wave packet describing low-energy electrons in graphene by a time-dependent finite step potential barrier. Our results demonstrate that, after Klein tunneling through the barrier, the electron acquires an…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Andrey Chaves , D. R. da Costa , G. O. de Sousa , J. M. Pereira , G. A. Farias

We study the effect of the energy gap on the transmission of fermions in graphene exposed to linearly polarized light as a laser barrier. We determine the energy spectrum, apply boundary conditions at interfaces, and use the transfer matrix…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Hasna Chnafa , Miloud Mekkaoui , Ahmed Jellal , Abdelhadi Bahaoui

Two opposite chiralities of Dirac electrons in a 2D graphene sheet modify the Friedel oscillations strongly: electrostatic potential around an impurity in graphene decays much faster than in 2D electron gas. At distances $r$ much larger…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Ke Wang , M. E. Raikh , T. A. Sedrakyan

An exact expression of the transmission probability through a finite graphene superlattice with an arbitrary number of potential barriers $n$ is derived in two cases of the periodic potential: rectangular electric potential and…

Mesoscale and Nanoscale Physics · Physics 2015-02-20 C. Huy Pham , V. Lien Nguyen

We present a description of the energy loss of a charged particle moving parallel to a graphene layer and graphene double layers. Specifically, we compare the stopping power of the plasma oscillations for these two configurations in the…

Materials Science · Physics 2015-05-28 Godfrey Gumbs , O. Roslyak , Danhong Huang , Antonios Balassis