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Hydrogenation has proven to be an effective tool to open the bandgap of graphene. In the present density functional study we demonstrate that single-side-hydrogenated graphene is a semiconductor with an indirect bandgap of 1.89 eV, in…

Materials Science · Physics 2011-03-01 Bhalchandra S. Pujari , Sergey Gusarov , Michael Brett , Andriy Kovalenko

We construct the new one-dimensional Dirac Hamiltonians that are spectrally isomorphic (not isospectral) with the known exactly solvable models. Explicit formulas for their spectra and eigenstates are provided. The operators are utilized…

High Energy Physics - Theory · Physics 2015-03-05 Vit Jakubsky

Electrons in two-dimensional graphene sheets behave as interacting chiral Dirac fermions and have unique screening properties due to their symmetry and reduced dimensionality. By using a combination of scanning tunneling spectroscopy…

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 effects of a propagating sinusoidal out-of-plane flexural deformation in the electronic properties of a tense membrane of graphene are considered within a non-perturbative approach, leading to an electron-ripple coupling. The…

Mesoscale and Nanoscale Physics · Physics 2019-08-29 Ramon Carrillo-Bastos , Gerardo G. Naumis

Double layer graphene is a gapless semiconductor which develops a finite gap when the layers are placed at different electrostatic potentials. We study, within the tight-biding approximation, the electronic properties of the gaped graphene…

Mesoscale and Nanoscale Physics · Physics 2007-11-26 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

In 2004 we have shown that substantial part of conductivity in graphite is provided by holes with massless linear spectrum - Dirac Fermions that coexist with massive normal carriers - electrons. In a recent Letter [Phys. Rev. Lett. 102,…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Igor A. Luk'yanchuk , Yakov Kopelevich

The intensity as well as position in energy of the absorption lines in the infrared conductivity of graphene, both exhibit features that are directly related to the Dirac nature of its quasiparticles. We show that the evolution of the…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

The fractal spectrum of magnetic minibands (Hofstadter butterfly), induced by the moir\'e super- lattice of graphene on an hexagonal crystal substrate, is known to exhibit gapped Dirac cones. We show that the gap can be closed by slightly…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 M. Diez , J. P. Dahlhaus , M. Wimmer , C. W. J. Beenakker

We calculate the spectrum of massive Dirac fermions in graphene in the presence of an inhomogeneous magnetic field modeled by a step function. We find an analytical universal relation between the bandwidths and the propagating velocities of…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 L. Dell'Anna , A. Alidoust Ghatar , D. Jahani

Recently, it was demonstrated that the quasiparticle dynamics, the layer-dependent charge and potential, and the c-axis screening coefficient could be extracted from measurements of the spectral function of few layer graphene films grown…

Strongly Correlated Electrons · Physics 2009-11-13 Aaron Bostwick , Taisuke Ohta , Jessica L. McChesney , Konstantin V. Emtsev , Thomas Seyller , Karsten Horn , Eli Rotenberg

Graphene is an ideal material to study fundamental Coulomb- and phonon-induced carrier scattering processes. Its remarkable gapless and linear band structure opens up new carrier relaxation channels. In particular, Auger scattering bridging…

As a particular application of the earlier proposed model of graphene as a macromolecule, we found the exact analytical expression of dispersion relation for the band of edge states in graphene zigzag ribbons. This band is often referred to…

Mesoscale and Nanoscale Physics · Physics 2008-05-08 Lyuba Malysheva , Alexander Onipko

We present a formalism and numerical results for the energy loss of a charged particle scattered at an arbitrary angle from epitaxially grown multilayer graphene (MLG). It is compared with that of free-standing graphene layers.…

Materials Science · Physics 2011-05-20 O. Roslyak , G. Gumbs , D. H. Huang

We investigate in some detail the structure of the electromagnetic current density for the pseudo-relativistic massless spinor effective model for graphene. It is shown that the pseudo-relativistic massless Dirac field theory in {\em 2+1}…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Paola Giacconi , Roberto Soldati

The discovery of electric field induced bandgap opening in bilayer graphene opens new door for making semiconducting graphene without aggressive size scaling or using expensive substrates. However, bilayer graphene samples have been limited…

Materials Science · Physics 2010-11-19 Seunghyun Lee , Kyunghoon Lee , Zhaohui Zhong

We present measurements of transmission and reflection spectra of a microwave photonic crystal composed of 874 metallic cylinders arranged in a triangular lattice. The spectra show clear evidence of a Dirac point, a characteristic of a…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Bittner , B. Dietz , M. Miski-Oglu , P. Oria Iriarte , A. Richter , F. Schaefer

We show that the assumption of a nontrivial zero band gap for a graphene sheet within an effective relativistic field theoretical model description of interacting Dirac electrons on the surface of graphene describes the experimental band…

Materials Science · Physics 2011-05-27 A. J. Chaves , G. D. Lima , W. de Paula , C. E. Cordeiro , A. Delfino , T. Frederico , O. Oliveira

Undoped graphene is semi-metallic and thus not suitable for many electronic and optoelectronic applications requiring gapped semiconductor materials. However, a periodic array of holes (antidot lattice) renders graphene semiconducting with…

Mesoscale and Nanoscale Physics · Physics 2008-06-24 Thomas G. Pedersen , Christian Flindt , Jesper Pedersen , Antti-Pekka Jauho , Niels Asger Mortensen , Kjeld Pedersen

We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferromagnetism dynamics and those connected with the magnetic…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 E. V. Gorbar , V. P. Gusynin , V. A. Miransky