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The electromagnetic response of graphene, expressed by the dielectric function, and the spectrum of collective excitations are studied as a function of wave vector and frequency. Our calculation is based on the full band structure,…

Strongly Correlated Electrons · Physics 2009-09-03 A. Hill , S. A. Mikhailov , K. Ziegler

We employ the tight-binding propagation method to study Klein tunneling and quantum interference in large graphene systems. With this efficient numerical scheme, we model the propagation of a wave packet through a potential barrier and…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 R. Logemann , K. J. A. Reijnders , T. Tudorovskiy , M. I. Katsnelson , Shengjun Yuan

Ab initio density functional theory (DFT) simulations were used to investigate an influence of electric field, parallel to single and multilayer graphene on its electron dispersion relations close to K point. It was shown that for both…

Materials Science · Physics 2016-11-09 Stanisław Krukowski , Jakub Sołtys , Jolanta Borysiuk , Jacek Piechota

We present exact analytical and numerical results for the electronic spectra and the Friedel oscillations around a substitutional impurity atom in a graphene lattice. A chemical dopant in graphene introduces changes in the on-site potential…

Within the tight binding approximation, we study the dependence of the electronic band structure and of the optical conductivity of a graphene single layer on the modulus and direction of applied uniaxial strain. While the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-01-15 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

We address the problems of an energy spectrum and backscattering of massive Dirac fermions confined in a cylindrical quantum wire. The Dirac fermions are described by the 3D Dirac equation supplemented by time-reversal-invariant boundary…

Mesoscale and Nanoscale Physics · Physics 2013-09-11 V. V. Enaldiev , V. A. Volkov

We investigate electron tunneling in AB bilayer graphene through a triple electrostatic barrier of heights $U_i (i=2,3,4)$ subjected to a perpendicular magnetic field. By way of the transfer matrix method and using the continuity conditions…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Mouhamadou Hassane Saley , Ahmed Jellal

An analysis of electron transport in graphene is presented in the presence of various arrangement of delta-function like magnetic barriers. The motion through one such barrier gives an unusual non specular refraction leading to asymmetric…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 Sankalpa Ghosh , Manish Sharma

We investigate the propagation of electronic waves described by the Dirac equation subject to a L\'evy-type disorder distribution. Our numerical calculations, based on the transfer matrix method, in a system with a distribution of potential…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Jonas R. F. Lima , Luiz Felipe C. Pereira , Anderson L. R. Barbosa

We study quasiparticle dynamics in graphene exposed to a linearly-polarized electromagnetic wave of very large intensity. Low-energy transport in such system can be described by an effective time-independent Hamiltonian, characterized by…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 S. V. Syzranov , Ya. I. Rodionov , K. I. Kugel , F. Nori

We study the electronic transmission through a graphene bilayer in the presence of an applied bias between layers. We consider different geometries involving interfaces between both a monolayer and a bilayer and between two bilayers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Johan Nilsson , A. H. Castro Neto , F. Guinea , N. M. R. Peres

The diamagnetism of confined Dirac fermions submitted to a uniform magnetic field in disordered graphene is investigated. The solutions of the energy spectrum are used to discuss the orbital magnetism from a statistical mechanical point of…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Ahmed Jellal , Malika Bellati , Michael Schreiber

This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields.…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 Miguel Castillo-Celeita , Alonso Contreras-Astorga , David J. Fernández C

In this work we study theoretically the electronic properties of a sheet of graphene grown on a periodic heterostructure substrate. We write an effective Dirac equation, which includes a dependence of both the band gap and the Fermi…

Materials Science · Physics 2014-11-12 Jonas R. F. Lima , F. Moraes

Temporally and spectrally resolved dynamics of optically excited carriers in graphene has been intensively studied theoretically and experimentally, whereas carrier diffusion in space has attracted much less attention. Understanding the…

Mesoscale and Nanoscale Physics · Physics 2019-04-01 Roland Jago , Raül Perea-Causin , Samuel Brem , Ermin Malic

The influence of a rectangular potential barrier on the quantum transport of fermions in silicene is explored. Specifically, analytical solutions are presented to derive transmission and reflection probabilities together with conductance.…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Sanae Zriouel , Ahmed Jellal

Photon-assisted charge transport through a double barrier laser structure, separated by a region assisted by a magnetic field, is studied. Employing Floquet theory and matrix formalism, the transmission probabilities for the central band…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Rachid El Aitouni , Miloud Mekkaoui , Abdelhadi Bahaoui , Ahmed Jellal

Much attention has been focused on ways of rendering graphene semiconducting. We study periodically gated graphene in a tight-binding model and find that, contrary to predictions based on the Dirac equation, it is possible to open a band…

Mesoscale and Nanoscale Physics · Physics 2012-10-10 Jesper Goor Pedersen , Thomas Garm Pedersen

The theoretical description for the reflectivity properties of dielectric, metal and semiconductor plates coated with graphene is developed in the framework of the Dirac model. Graphene is described by the polarization tensor allowing the…

Materials Science · Physics 2016-04-07 G. L. Klimchitskaya , C. C. Korikov , V. M. Petrov

The relativistic nature of charge carriers in graphene is expected to lead to an angle- dependent transmission through a potential barrier, where Klein tunneling involves annihilation of an electron and a hole at the edges of the barrier.…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Atikur Rahman , Janice Wynn Guikema , N. M. Hassan , Nina Markovic
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