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Graphene and few-layer graphene at high bias expose a wealth of phenomena due to the high temperatures reached. With in-situ transmission electron microscopy (TEM) we observe directly how the current modifies the structure, and vice versa.…

Mesoscale and Nanoscale Physics · Physics 2013-01-30 Amelia Barreiro , Felix Boerrnert , Mark H. Ruemmeli , Bernd Buechner , Lieven M. K. Vandersypen

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

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

We develop a microscopic theory of a strong electromagnetic field interaction with gated bilayer graphene. Quantum kinetic equations for density matrix are obtained using a tight binding approach within second quantized Hamiltonian in an…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 A. A. Avetisyan , A. P. Djotyan , K. Moulopoulos

Graphene and other two-dimensional materials display remarkable optical properties, including a simple light transparency of $T \approx 1 - \pi \alpha$ for light in the visible region. Most theoretical rationalizations of this "universal"…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Daniel J. Merthe , Vitaly V. Kresin

We study the electronic structure of graphene in the presence of either sevenfolds or eightfolds by using a gauge field-theory model. The graphene sheet with topological defects is considered as a negative cone surface with infinite…

Materials Science · Physics 2009-11-13 D. V. Kolesnikov , V. A. Osipov

A far-reaching goal of graphene research is exploiting the unique properties of carriers to realize extreme nonclassical electronic transport. Of particular interest is harnessing wavelike carriers to guide and direct them on submicron…

It was shown in PHYSICAL REVIEW B 92, 085409 (2015) that the dynamics of a pair of electrons in graphene can be mapped onto that of a single particle with negative effective mass, leading to bound states of positive energy despite the…

Mesoscale and Nanoscale Physics · Physics 2015-12-10 L. L. Marnham , A. V. Shytov

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

Graphene is a monolayer graphitic film in which electrons behave like two-dimensional Dirac fermions without mass. Its study has attracted a wide interest in the domain of condensed matter physics. In particular, it represents an ideal…

Mathematical Physics · Physics 2025-05-16 William Borrelli , Umberto Morellini

Density functional theory calculations are used to investigate the electronic structures of localized states at reconstructed armchair graphene edges. We consider graphene nanoribbons with two different edge types and obtain the energy band…

Mesoscale and Nanoscale Physics · Physics 2013-07-03 Changwon Park , Jisoon Ihm , Gunn Kim

The long standing controversy concerning the effect of electron - electron interaction on the electrical conductivity of an ideal graphene sheet is settled. Performing the calculation directly in the tight binding approach without the usual…

Strongly Correlated Electrons · Physics 2015-06-11 B. Rosenstein , M. Lewkowicz , T. Maniv

Graphene, a monolayer of carbon atoms arranged in a hexagonal pattern, provides a unique two-dimensional (2D) system exhibiting exotic phenomena such as quantum Hall effects, massless Dirac quasiparticle excitations and universal absorption…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 K. M. Dani , J. Lee , R. Sharma , A. D. Mohite , C. M. Galande , P. M. Ajayan , A. M. Dattelbaum , H. Htoon , A. J. Taylor , R. P. Prasankumar

We analyze the features of the graphene mono- and multilayer reflectance in the far-infrared region as a function of frequency, temperature, and carrier density taking the intraband conductance and the interband electron absorbtion into…

Soft Condensed Matter · Physics 2009-11-13 L. A. Falkovsky

Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling…

Other Condensed Matter · Physics 2009-11-13 Eun-Ah Kim , A. H. Castro Neto

A full, nonperturbative renormalization group analysis of interacting electrons in a graphite layer is performed, in order to investigate the deviations from Fermi liquid theory that have been observed in the experimental measures of a…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

This paper is devoted to development of perturbation theory for studying the properties of graphene sheet of finite size, at nonzero temperature and chemical potential. The perturbation theory is based on the tight-binding Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-12-16 N. Yu. Astrakhantsev , V. V. Braguta , M. I. Katsnelson

The current flow along the boundary of graphene stripes in a perpendicular magnetic field is studied theoretically by the nonequilibrium Green's function method. In the case of specular reflections at the boundary, the Hall resistance shows…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 Thomas Stegmann , Axel Lorke

Twisted bilayer graphene is an excellent example of highly correlated system demonstrating a nearly flat electron band, the Mott transition and probably a spin liquid state. Besides the one-electron picture, analysis of Dirac points is…

Strongly Correlated Electrons · Physics 2018-06-28 V. Yu. Irkhin , Yu. N. Skryabin

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
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