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We study the problem of the electron excitation spectrum in the presence of point-like and regularized Coulomb impurities in gapped graphene. To this end, we use the Dirac model and in the point-like case theory of self-adjoint extensions…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 A. I. Breev , R. Ferreira , D. M. Gitman , B. L. Voronov

We have investigated the Coulomb screening properties and plasmon spectrum in a bilayer graphene under a perpendicular electric bias. The bias voltage applied between the two graphene layers opens a gap in the single particle energy…

Mesoscale and Nanoscale Physics · Physics 2010-02-04 Xue-Feng Wang , Tapash Chakraborty

We investigate the dynamical dielectric function of a monolayer of molybdenum disulfide within the random phase approximation. While in graphene damping of plasmons is caused by interband transitions, due to the large direct band gap in…

Mesoscale and Nanoscale Physics · Physics 2013-08-08 Andreas Scholz , Tobias Stauber , John Schliemann

Numerical and closed-form analytic expressions for plasmon dispersion relations and rates of dissipation are first obtained at finite-temperatures for free-standing gapped graphene. These closed-system results are generalized to an open…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Andrii Iurov , Godfrey Gumbs , Danhong Huang , V. M. Silkin

A thorough spectroscopic characterisation of two samples of highly hydrogenated monolayer graphene transferred on nickel grids is herein reported. With X ray photoemission spectroscopy on the C 1s core-level, a 100$\%$ $sp^3$ distortion was…

We analyze theoretically charge transport in Coulomb coupled graphene waveguides (GWGs). The GWGs are defined using antidot lattices, and the lateral geometry bypasses many technological challenges of earlier designs. The drag resistivity…

Mesoscale and Nanoscale Physics · Physics 2014-04-25 Artsem A. Shylau , Antti-Pekka Jauho

We study the effect of impurities in superconducting graphene and discuss their influence on the local electronic properties. In particular, we consider the case of magnetic and non-magnetic impurities being either strongly localized or…

Mesoscale and Nanoscale Physics · Physics 2008-09-17 T. O. Wehling , H. P. Dahal , A. I. Lichtenstein , A. V. Balatsky

We address the problem of an unscreened Coulomb charge in graphene, and calculate the local density of states and displaced charge as a function of energy and distance from the impurity. This is done non-perturbatively in two different…

Strongly Correlated Electrons · Physics 2007-10-17 Vitor M. Pereira , Johan Nilsson , A. H. Castro Neto

We evaluate the autocorrelation function of the electrostatic potential in doped graphene due to nearby charged impurities. The screening of those impurities is described by a combination of the polarization function for graphene in random…

Materials Science · Physics 2013-10-25 Rastko Anicic , Zoran Miskovic

We consider the dynamics of charge carriers in single-layer graphene that are subject to random temporal fluctuations of their mass gap. The optical conductivity is calculated by incorporating the quantum-stochastic time evolution into the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. Z. Bernád

We use Scanning Gate Microscopy to demonstrate the presence of localized states arising from potential inhomogeneities in a 50nm-wide, gate-defined conducting channel in encapsulated bilayer graphene. When imaging the channel conductance…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Carolin Gold , Annika Kurzmann , Kenji Watanabe , Takashi Taniguchi , Klaus Ensslin , Thomas Ihn

Among their amazing properties, graphene and related low-dimensional materials show quantized charge-density fluctuations--known as plasmons--when exposed to photons or electrons of suitable energies. Graphene nanoribbons offer an enhanced…

Strongly Correlated Electrons · Physics 2016-09-14 Cristian Vacacela Gomes , Michele Pisarra , Mario Gravina , Jose M. Pitarke , Antonello Sindona

We study the effect of Coulomb drag between two closely positioned graphene monolayers. In the limit of weak electron-electron interaction and small inter-layer spacing ($\mu_{1(2)}, T\ll v/d$) the drag is described by a universal function…

Mesoscale and Nanoscale Physics · Physics 2012-08-07 B. N. Narozhny , M. Titov , I. V. Gornyi , P. M. Ostrovsky

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

We study the effects of disorder on bilayer graphene using four different microscopic models and directly compare their results. We compute the self-energy, density of states, and optical conductivity in the presence of short-ranged…

Mesoscale and Nanoscale Physics · Physics 2012-01-27 D. S. L. Abergel , Hongki Min , E. H. Hwang , S. Das Sarma

The carrier density and temperature dependence of the Hall mobility in mono-, bi- and tri-layer graphene has been systematically studied. We found that as the carrier density increases, the mobility decreases for mono-layer graphene, while…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Wenjuan Zhu , Vasili Perebeinos , Marcus Freitag , Phaedon Avouris

We investigate the organized formation of strain, ripples and suspended features in macroscopic CVD-prepared graphene sheets transferred onto a corrugated substrate made of an ordered arrays of silica pillars of variable geometries.…

Pristine monolayer graphene exhibits very poor screening because the density of states vanishes at the Dirac point. As a result, charge relaxation is controlled by the effects of zero-point motion (rather than by the Coulomb interaction)…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Eugene B. Kolomeisky , Joseph P. Straley

Frequency dependent conductivity of Coulomb interacting massless Dirac fermions coupled to random scalar and random vector potentials is found as a function of frequency in the regime controlled by a line of fixed points. Such model…

Disordered Systems and Neural Networks · Physics 2008-10-22 Oskar Vafek

We use first-principles density-functional calculations to determine the frequency shift of the A$'_1$-${\bf K}$ phonon (Raman D band) in monolayer graphene, as a function of the charge doping. A detailed DFT study on the electron-phonon…

Materials Science · Physics 2007-05-23 Srijan Kumar Saha , U. V. Waghmare , H. R. Krishnamurthy , A. K. Sood