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It is demonstrated that a new nodal point is forming and a domain with anomalous dispersion is unfolding in the spectrum of charge carriers in graphene, when the concentration of weakly bound impurities exceeds a certain critical value.

Disordered Systems and Neural Networks · Physics 2011-09-13 Yuriy V. Skrypnyk , Vadim M. Loktev

Raised above the substrate and elastically deformed areas of graphene in the form of bubbles are found on different substrates. They come in a variety of shapes, including those which allow strong modification of the electronic properties…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 T. Georgiou , L. Britnell , P. Blake , R. V. Gorbachev , A. Gholinia , A. K. Geim , C. Casiraghi , K. S. Novoselov

The results of the simulations by Monte Carlo method of graphene with structural defects are presented. The calculations are performed within an effective quantum field theory with non-compact $3\hm + 1$--dimensional Abelian gauge field and…

Strongly Correlated Electrons · Physics 2015-06-16 S. N. Valgushev , E. V. Luschevskaya , O. V. Pavlovsky , M. I. Polikarpov , M. V. Ulybyshev

Exact analytic solutions for an electron in graphene interacting with external complex magnetic fields are found. The eigenvalue problem for the non-hermitian Dirac-Weyl Hamiltonian leads to a pair of intertwined Schr{\"o}dinger equations,…

Mathematical Physics · Physics 2022-03-14 DJ Fernández , JD García-Muñoz

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

Among the different strategies used to induce the opening of a band gap in graphene, one common practice is through chemical doping. While a gap may me opened in this way, disorder-induced scattering is an unwanted side-effect that impacts…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 James A Lawlor , Claudia G Rocha , Vanessa Torres , Andrea Latgé , Mauro Ferreira

The low-energy physics of graphene is described by relativistic Dirac fermions with spin and valley degrees of freedom. Mechanical strain can be used to create a pseudo magnetic field pointing to opposite directions in the two valleys. We…

Strongly Correlated Electrons · Physics 2017-08-29 Ying-Hai Wu , Tao Shi , G. J. Sreejith , Zheng-Xin Liu

We propose a unique way to control both bandgap and the magnetic properties of nanoscale graphene, which might prove highly beneficial for application in nanoelectronic and spintronic devices. We have shown that chemical doping by nitrogen…

Materials Science · Physics 2015-05-13 Julia Berashevich , Tapash Chakraborty

Recent reports of spin-orbit coupling enhancement in chemically modified graphene have opened doors to studies of the spin Hall effect with massless chiral fermions. Here, we theoretically investigate the interaction and impurity density…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Mirco Milletari , Aires Ferreira

The effect of substitution atoms on the energy spectrum and the electrical conductivity of graphene was investigated in a Lifshitz one-electron tight-binding model. It is established that the ordering of impurity atoms results in a gap in…

Strongly Correlated Electrons · Physics 2020-03-05 S. P. Repetsky , I. G. Vyshyvana , S. P. Kruchinin , R. M. Melnyk , A. P. Polishchuk

In this work we will focus on the effects produced by topological disorder on the electronic properties of a graphene plane. The presence of this type of disorder induces curvature in the samples of this material, making quite difficult the…

Strongly Correlated Electrons · Physics 2008-11-26 Alberto Cortijo , María A. H. Vozmediano

We study the effect of disordered ripples on the conductivity of monolayer graphene flakes. We calculate the relaxation times and the Boltzmann conductivities associated with two mechanisms. First, we study the conductivity correction due…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Rhonald Burgos , Jesus Warnes , Leandro R. F. Lima , Caio Lewenkopf

The aim of this work is to describe the electronic properties of graphene in a constant magnetic field in the long wavelength approximation with random binary disorder, by solving the Soven equation self-consistently. Density of state…

Mesoscale and Nanoscale Physics · Physics 2015-03-03 Juan Sebastian Ardenghi , Pablo Bechthold , Estela Gonzalez , Paula Jasen , Alfredo Juan

Electro-optical response of a current-carrying monolayer graphene is studied theoretically. Our calculation takes into account full (diagonal and non-diagonal) conductivity tensor obtained from a particle-conserving out-of-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2018-08-24 Mohsen Sabbaghi , Hyun-Woo Lee , Tobias Stauber

Response of electronic systems in intense lights (AC electric fields) to DC source-drain fields is formulated with the Floquet method. We have then applied the formalism to graphene, for which we show that a non-linear effect of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Takashi Oka , Hideo Aoki

Imperfections change essentially the electronic transport properties of graphene. Motivated by a recent experiment reporting on the possible application of graphene as junctions, we study transport properties in graphene-based junctions…

Mesoscale and Nanoscale Physics · Physics 2013-11-25 Dima Bolmatov , Chung-Yu Mou

We establish an analogy between spectra of Dirac fermions in laser fields and an electron spectrum of graphene superlattices formed by static 1D periodic potentials. The general relations between a laser-controlled spectrum where electron…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Sergey E. Savel'ev , Alexandre S. Alexandrov

The nonlinear magneto-optic responses are investigated for gapped graphene and doped graphene in a perpendicular magnetic field. The electronic states are described by Landau levels, and the electron dynamics in an optical field is obtained…

Materials Science · Physics 2018-03-21 J. L. Cheng , C. Guo

Graphene is an ideal platform to study many-body effects due to its semimetallic character and the possibility to dope it over a wide range. Here we study the width of graphene's occupied $\pi$-band as a function of doping using…

Strongly Correlated Electrons · Physics 2016-08-10 Søren Ulstrup , Malte Schüler , Marco Bianchi , Felix Fromm , Christian Raidel , Thomas Seyller , Tim Wehling , Philip Hofmann

The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal defects in the carbon graphene plane is investigated. Using a continuum gauge field-theory model the local density of states around the Fermi energy is calculated…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 J. Smotlacha , R. Pincak , M. Pudlak