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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 structural and electronic properties of graphene leads its charge carriers to behave like relativistic particles, which is described by a Dirac-like Hamiltonian. Since graphene is a monolayer of carbon atoms, the strain due to elastic…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Zhigang Wang , Zhen-Guo Fu , Fawei Zheng , Ping Zhang

Monolayer graphene with an energy gap presents a pseudospin symmetry broken ferromagnet with a perpendicular pseudomagnetization whose direction is switched by altering the type of doping between n and p. We demonstrate an electrical…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Leyla Majidi , Malek Zareyan

When a graphene layer is stressed, the strain alters the phase an electron accumulates hopping between sites in a way that can be modeled as arising from a pseudo-magnetic vector potential. We examine the case of an oscillating graphene…

Mesoscale and Nanoscale Physics · Physics 2017-11-02 Anita Bhagat , Kieran Mullen

The electronic behavior in graphene under arbitrary uniaxial deformations, such as foldings or flexural fields is studied by including in the Dirac equation pseudoelectromagnetic fields. General foldings are thus studied by showing that…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 Abdiel E. Champo , Gerardo G. Naumis

The gap equation for Dirac quasiparticles in monolayer graphene in constant magnetic and pseudomagnetic fields, where the latter is due to strain, is studied in a low-energy effective model with contact interactions. Analyzing solutions of…

Strongly Correlated Electrons · Physics 2015-12-14 D. O. Rybalka , E. V. Gorbar , V. P. Gusynin

In this work we explore mechanical properties of graphene samples of variable thickness. For this purpose, we coupled a high pressure sapphire anvil cell to a micro-Raman spectrometer. From the evolution of the G band frequency with stress…

The present study explores the edge states in a finite-width graphene ribbon and a semi-infinite geometry subject to a perpendicular magnetic field and an in-plane electric field, applied perpendicular to a zigzag edge. To accomplish this,…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

We find a systematic reappearance of massive Dirac features at the edges of consecutive minibands formed at magnetic fields B_{p/q}= p\phi_0/(qS) providing rational magnetic flux through a unit cell of the moire superlattice created by a…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Xi Chen , J. R. Wallbank , A. A. Patel , M. Mucha-Kruczynski , E. McCann , V. I. Fal'ko

Magnetic confinement in graphene has been of recent and growing interest because its potential applications in nanotechnology. In particular, the observation of the so called magnetic edge states in graphene has opened the possibility to…

Mesoscale and Nanoscale Physics · Physics 2010-08-31 Gabriela Murguia

We use supersymmetry transformations to obtain new one parameter family of inhomogeneous magnetic fields $\mathbf{B} = \widetilde{\mathcal{B}}(x,\lambda) \hat{e}_z$ for which the massless Dirac electron possesses exact solution. The…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 Bikashkali Midya , David J Fernández

Here we study the evolution of local electronic properties of a twisted graphene bilayer induced by a strain and a high curvature. The strain and curvature strongly affect the local band structures of the twisted graphene bilayer; the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Wei Yan , Wen-Yu He , Zhao-Dong Chu , Mengxi Liu , Lan Meng , Rui-Fen Dou , Yanfeng Zhang , Zhongfan Liu , Jia-Cai Nie , Lin He

We study a suspended graphene sheet subject to the electric field of a gate underneath. We compute the elastic deformation of the sheet and the corresponding effective gauge field, which modifies the electronic transport. In a clean system…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. M. Fogler , F. Guinea , M. I. Katsnelson

The observation of the Sagnac effect for massive material particles offers a significant enhancement in sensitivity when compared to optical interferometers with equal area and angular rotation velocity. For this reason, there have been…

Mesoscale and Nanoscale Physics · Physics 2024-09-16 A. Yu. Fesh , Yu. V. Shtanov , S. G. Sharapov

The present article discusses magnetic confinement of the Dirac excitations in graphene in presence of inhomogeneous magnetic fields. In the first case a magnetic field directed along the z axis whose magnitude is proportional to $1/r$ is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Pratim Roy , Tarun Kanti Ghosh , Kaushik Bhattacharya

We study uniaxially strained graphene under the influence of non-uniform magnetic fields perpendicular to the material sample with a coordinate independent strain tensor. For that purpose, we solve the Dirac equation with anisotropic Fermi…

Strongly Correlated Electrons · Physics 2018-06-12 Yajaira Concha Sanchez , Adolfo Huet , Alfredo Raya , David Valenzuela

Pseudospin, an additional degree of freedom inherent in graphene, plays a key role in understanding many fundamental phenomena such as the anomalous quantum Hall effect, electron chirality and Klein paradox. Unlike the electron spin, the…

We study the dynamics of the electrons in a non-uniform magnetic field applied perpendicular to a graphene sheet in the low energy limit when the excitation states can be described by a Dirac type Hamiltonian. We show that as compared to…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 P. Rakyta , L. Oroszlany , A. Kormanyos , C. J. Lambert , J. Cserti

Electronic screening renormalizes the linear bands of graphene and in the vicinity of the Dirac point, creates a diamond shaped structure in the quasiparticle spectral density. This is a result of electron-plasmon scattering processes which…

Mesoscale and Nanoscale Physics · Physics 2013-05-09 J. P. F. LeBlanc , J. P. Carbotte

We study transport properties of hexagonal zigzag graphene quantum rings connected to semi-infinite nanoribbons. Open two-fold symmetric structures support localized states that can be traced back to those existing in the isolated six-fold…

Mesoscale and Nanoscale Physics · Physics 2017-01-09 D. Faria , R. Carrillo-Bastos , N. Sandler , A. Latgé
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