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Related papers: Magnetic field barriers in graphene: an analytical…

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In this article, we propose a new numerical model for computation of the transport of electrons in a graphene device. The underlying quantum model for graphene is a massless Dirac equation, whose eigenvalues display a conical singularity…

Mathematical Physics · Physics 2016-11-23 Clotilde Fermanian Kammerer , Florian Méhats

While the Dirac band structure of graphene has established it as a leading platform for ultrafast optoelectronics, its non-perturbative nonlinear response under intense excitation remains poorly understood. Here, we report ultrafast…

Optics · Physics 2026-04-27 Xiaolong Lv , Yu Zhang , Yuxuan Wei , Chuanshan Tian

We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

We present the solutions of the energy spectrum of charge carriers confined in quantum ring in ABA-stacked trilayer graphene subjected to a perpendicular magnetic field. The calculations were performed in the context of the continuum model…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Abdelhadi Belouad , Youness Zahidi , Ahmed Jellal , Abdelhadi Bahaoui

Gapless bilayer graphene (GBG), like monolayer graphene, is a material system with unique properties, such as anti-Klein tunneling and intrinsic Fano resonances. These properties rely on the gapless parabolic dispersion relation and the…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 J. A. Briones-Torres , R. Pernas-Salomón , R. Pérez-Álvarez , I. Rodríguez-Vargas

When an energy gap is induced in monolayer graphene the valley degeneracy is broken and the energy spectrum of a confined system such as a quantum dot, becomes rather complex exhibiting many irregular level crossings and small energy…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 G. Giavaras

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 T. M. Slipchenko , M. L. Nesterov , L. Martin-Moreno , A. Yu. Nikitin

We present a detailed numerical study of the electronic properties of single-layer graphene with resonant ("hydrogen") impurities and vacancies within a framework of noninteracting tight-binding model on a honeycomb lattice. The algorithms…

Mesoscale and Nanoscale Physics · Physics 2010-09-29 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

We theoretically study the electronic transport properties of Dirac fermions through one and double triangular barriers in graphene. Using the transfer matrix method, we determine the transmission, conductance and Fano factor. They are…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Abderrahim El Mouhafid , Ahmed Jellal

Highly-doped graphene samples show the conductance reduced and the shot-noise power enhanced compared to standard ballistic systems in two-dimensional electron gas. These features can be understood within a model assuming incoherent…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Adam Rycerz , Katarzyna Rycerz , Piotr Witkowski

We present measurements of the electronic compressibility, $K$, of bilayer graphene in both zero and finite magnetic fields up to 14 T, and as a function of both the carrier density and electric field perpendicular to the graphene sheet.…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 E. A. Henriksen , J. P. Eisenstein

The electronic states of a finite-width graphene sheet in the presence of an electrostatic confining potential and a perpendicular magnetic field are investigated. The confining potential shifts the Landau levels inside the well and creates…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Milton Pereira , F. M. Peeters , P. Vasilopoulos

We study magneto--optical properties of monolayer graphene by means of quantum field theory methods in the framework of the Dirac model. We reveal a good agreement between the Dirac model and a recent experiment on giant Faraday rotation in…

Mesoscale and Nanoscale Physics · Physics 2012-11-30 I. V. Fialkovsky , D. V. Vassilevich

The mode-dependent transmission of relativistic ballistic massless Dirac fermion through a graphene based double barrier structure is being investigated for various barrier parameters. We compare our results with already published work and…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Ahmed Jellal , El Bouazzaoui Choubabi , Hocine Bahlouli , Abdullah Aljaafari

One of the most important developments in condensed matter physics in recent years has been the discovery and characterization of graphene. A two-dimensional layer of Carbon arranged in a hexagonal lattice, graphene exhibits many…

High Energy Physics - Lattice · Physics 2015-09-23 Christopher Winterowd , Carleton DeTar , Savvas Zafeiropoulos

We analyze the bound-state spectra of mass-profile quantum dots in graphene, a system at current experimental reach. Homogeneous perpendicular magnetic fields are also considered which result in breaking the valley degeneracy. The spectra…

Mesoscale and Nanoscale Physics · Physics 2015-04-24 A. Gutiérrez-Rubio , T. Stauber

Based on the recently developed picture of an electronic ideal relativistic fluid at the Dirac point, we present an analytical model for the conductivity in graphene that is able to describe the linear dependence on the carrier density and…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 M. Mendoza , H. J. Herrmann , S. Succi

The tight-binding model of electrons in graphene is reviewed. We derive low-energy Hamiltonians supporting massless Dirac-like chiral fermions and massive chiral fermions in monolayer and bilayer graphene, respectively, and we describe how…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Edward McCann

The two-dimensional Dirac operator describes low-energy excitations in graphene. Different choices for the boundary conditions give rise to qualitative differences in the spectrum of the resulting operator. For a family of boundary…

Mathematical Physics · Physics 2017-04-21 Rafael D. Benguria , Søren Fournais , Edgardo Stockmeyer , Hanne Van Den Bosch

Transport properties through wide and short ballistic graphene junctions are studied in the presence of arbitrary dopings and magnetic fields. No dependence on the magnetic field is observed at the Dirac point for any current cumulant, just…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Elsa Prada , Pablo San-Jose , Bernhard Wunsch , Francisco Guinea