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Bound and resonance electronic states in impure graphene are studied. Short-range perturbations for defects and impurities of the types "local chemical potential" and "local gap" are taken into account. Zero gap and non-zero gap kinds of…

Mesoscale and Nanoscale Physics · Physics 2009-05-25 Natalie E. Firsova , Sergey A. Ktitorov , Philip A. Pogorelov

Few layer graphene systems such as Bernal stacked bilayer and rhombohedral (ABC-) stacked trilayer offer the unique possibility to open an electric field tunable energy gap. To date, this energy gap has been experimentally confirmed in…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 T. Khodkov , I Khrapach , M. F. Craciun , S. Russo

We evaluate the stopping and image forces on a charged particle moving parallel to a doped sheet of graphene by using the dielectric response formalism for graphene's $\pi$-electron bands in the random phase approximation (RPA). The forces…

Materials Science · Physics 2009-11-10 K. F. Allison , D. Borka , I. Radović , Lj. Hadžievski , Z. L. Mišković

We investigate the conductivity of doped graphene in the semiclassical Boltzmann limit, as well as the conductivity minimum within the self-consistent transport theory. Using the hard-disk model for a two-dimensional distribution of…

Materials Science · Physics 2013-11-21 Rastko Aničić , Zoran L. Mišković

Edge reconstruction modifies the electronic properties of finite graphene samples. We formulate a low-energy theory of the reconstructed zigzag edge by deriving the modified boundary condition to the Dirac equation. If the unit cell size of…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 J. A. M. van Ostaay , A. R. Akhmerov , C. W. J. Beenakker , M. Wimmer

We present measurements on side gated graphene constrictions of different geometries. We characterize the transport gap by its width in back gate voltage and compare this to an analysis based on Coulomb blockade measurements of localized…

Mesoscale and Nanoscale Physics · Physics 2009-03-10 F. Molitor , A. Jacobsen , C. Stampfer , J. Guettinger , T. Ihn , K. Ensslin

We consider the effect of the Coulomb interaction in strained graphene using tight-binding approximation together with the Hartree-Fock interactions. The many-body energy dispersion relation, anisotropic Fermi velocity renormalization and…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 H. Rostami , Reza Asgari

Electronic, transport, and spin properties of grain boundaries (GBs) are investigated in electrostatically doped graphene at finite electron densities within the Hartree and Hubbard approximations. We demonstrate that depending on the…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 S. Ihnatsenka , I. V. Zozoulenko

Ab-initio calculations have been performed to study the geometry and electronic structure of boron (B) and nitrogen (N) doped graphene sheet. The effect of doping has been investigated by varying the concentrations of dopants from 2 % (one…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Pooja Rani , V. K. Jindal

We consider a single-layer graphene with high ripples, so that the pseudo-magnetic fields due to these ripples are strong. If the magnetic length corresponding to a typical pseudo-magnetic field is smaller than the ripple size, the…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Rajesh K. Malla , M. E. Raikh

An analysis of the electron localization properties in doped graphene is performed by doing a numerical multifractal analysis. By obtaining the singularity spectrum of a tight-binding model, it is found that the electron wave functions…

Disordered Systems and Neural Networks · Physics 2013-07-01 J. E. Barrios-Vargas , Gerardo G. Naumis

We report capacitors in which a finite electronic compressibility of graphene dominates the electrostatics, resulting in pronounced changes in capacitance as a function of magnetic field and carrier concentration. The capacitance…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 L. A. Ponomarenko , R. Yang , R. V. Gorbachev , P. Blake , M. I. Katsnelson , K. S. Novoselov , A. K. Geim

We present an interpretation of recent experimental measurements of dmu/dn in suspended bilayer graphene samples. We demonstrate that the data may be quantitatively described by assuming a spatially varying band gap induced by local…

Mesoscale and Nanoscale Physics · Physics 2011-11-18 D. S. L. Abergel , H. Min , E. H. Hwang , S. Das Sarma

Graphene revealed a number of unique properties beneficial for electronics. However, graphene does not have an energy band-gap, which presents a serious hurdle for its applications in digital logic gates. The efforts to induce a band-gap in…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Guanxiong Liu , Sonia Ahsan , Alexander G. Khitun , Roger K. Lake , Alexander A. Balandin

The general covariance of the Dirac equation is exploited in order to explore the curvature effects appearing in the electronic properties of graphene. Two physical situations are then considered: the weak curvature regime, with…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Pavel Castro-Villarreal , R. Ruiz-Sánchez

We compute the magnetization of graphene in a magnetic field, taking into account for generality the possibility of a mass gap. We concentrate on the physical regime where quantum oscillations are not observed due to the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Sergey Slizovskiy , Joseph Betouras

The electronic properties of graphene may be changed from semimetallic to semiconducting by introducing perforations (antidots) in a periodic pattern. The properties of such graphene antidot lattices (GALs) have previously been studied…

Mesoscale and Nanoscale Physics · Physics 2014-09-12 S. J. Brun , M. R. Thomsen , T. G. Pedersen

We investigate transport properties through a rectangular potential barrier in AB-stacked bilayer graphene (AB-BLG) gapped by dielectric layers. Using the Dirac-like Hamiltonian with a transfer matrix approach we obtain transmission and…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Nadia Benlakhouy , Abderrahim El Mouhafid , Ahmed Jellal

The electrical conductivity of graphene containing point defects is studied within the binary alloy model in its dependence on the Fermi level position at the zero temperature. It is found that the minimal conductivity value does not have a…

Disordered Systems and Neural Networks · Physics 2015-05-18 Yuriy V. Skrypnyk , Vadim M. Loktev

In this paper the mono-layer graphene at the charge neutrality point is considered whithin Thomas-Fermi-Dirac theory, treating inhomogeneous external potentials and electron-electron interactions on equal footing. We present some general…

Statistical Mechanics · Physics 2016-09-26 M. N. Najafi , M. Ghasemi Nezhadhaghighi
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