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When graphene is close to charge neutrality, its energy landscape is highly inhomogeneous, forming a sea of electron-like and hole-like puddles, which determine the properties of graphene at low carrier density. However, the details of the…

Mesoscale and Nanoscale Physics · Physics 2011-12-07 Shaffique Adam , Suyong Jung , Nikolai N. Klimov , Nikolai B. Zhitenev , Joseph A. Stroscio , M. D. Stiles

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

The single impurity effect on the graphene-based superconductor is studied theoretically. Four different pairing symmetries are discussed. Sharp resonance peaks are found near the impurity site for the $d+id$-wave pairing symmetry and the…

Superconductivity · Physics 2021-01-20 Yuan-Qiao Li , Tao Zhou

This work analyses how impurities and vacancies on the surface of a graphene sample affect its optical conductivity and plasmon excitations. The disorder is analysed in the self-consistent Green's function formulation and nonlocal effects…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Giovanni Viola , Tobias Wenger , Jari Kinaret , Mikael Fogelström

We report a double-layer electronic system made of two closely-spaced but electrically isolated graphene monolayers sandwiched in boron nitride. For large carrier densities in one of the layers, the adjacent layer no longer exhibits a…

Intervalley charged-impurity scattering processes are examined. It is found that the scattering probability is enhanced due to the Coulomb interaction with the impurity by the Sommerfield factor $F_Z\propto \epsilon^{2\sqrt{1-4g^2}-2}$,…

Mesoscale and Nanoscale Physics · Physics 2014-12-30 L. S. Braginsky , M. V. Entin

We report on the formation of critical states in disordered graphene, at the origin of variable and unconventional transport properties in the quantum Hall regime, such as a zero-energy Hall conductance plateau in the absence of an energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Nicolas Leconte , Frank Ortmann , Alessandro Cresti , Stephan Roche

Electron transport in bilayer graphene is studied by using a first principles analysis and theMonte Carlo simulation under conditions relevant to potential applications. While the intrinsic properties are found to be much less desirable in…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 X. Li , K. M. Borysenko , M. Buongiorno Nardelli , K. W. Kim

The chapter combines analytical (statistical-thermodynamic and kinetic) with numerical (Kubo-Greenwood-formalism-based) approaches used to ascertain an influence of the configurations of point (impurities, vacancies) and line (grain…

Mesoscale and Nanoscale Physics · Physics 2014-06-04 T. M. Radchenko , V. A. Tatarenko , I. Yu. Sagalianov , Yu. I. Prylutskyy

In this letter we study the electronic structures and optical properties of partially and fully fluorinated graphene by a combination of abinitio G0W0 calculations and large-scale multi-orbital tight-binding simulations. We find that for…

Mesoscale and Nanoscale Physics · Physics 2015-02-25 Shengjun Yuan , Malte Rosner , Alexander Schulz , Tim O. Wehling , Mikhail I. Katsnelson

Motivated by graphene-based quantum computer we examine the time-dependence of the position-momentum and position-velocity uncertainties in the monolayer gapped graphene. The effect of the energy gap to the uncertainties is shown to appear…

Quantum Physics · Physics 2012-03-21 Eylee Jung , Kwang S. Kim , DaeKil Park

Transport measurements have revealed several exotic electronic properties of graphene. The possibility to influence the electronic structure and hence control the conductivity by adsorption or doping with adatoms is crucial in view of…

We consider finite ribbons of graphene with armchair orientation of their edges to study in detail impurity effects on specific Dirac-like modes. In the framework of Anderson hybrid model of impurity perturbation, a possibility for Mott…

Disordered Systems and Neural Networks · Physics 2022-12-14 Yuriy G. Pogorelov , Vadim M. Loktev

We obtain a novel bound state spectrum of the low energy excitations near the Fermi points of graphene in the presence of a charge impurity. The effects of possible short range interactions induced by the impurity are modelled by suitable…

High Energy Physics - Theory · Physics 2009-11-13 Kumar S. Gupta , Siddhartha Sen

Atomic collapse in graphene nanoribbons behaves in a fundamentally different way as compared to monolayer graphene, due to the presence of multiple energy bands and the effect of edges. For armchair nanoribbons we find that bound states…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Jing Wang , Robbe Van Pottelberge , Amber Jacobs , Ben Van Duppen , Francois M. Peeters

Graphene bilayer systems are known to exhibit a band gap when the layer symmetry is broken, by applying a perpendicular electric field. The resulting band structure resembles that of a conventional semiconductor with a parabolic dispersion.…

Mesoscale and Nanoscale Physics · Physics 2015-07-03 Søren Schou Gregersen , Jesper Goor Pedersen , Stephen R. Power , Antti-Pekka Jauho

We explore the problem of atomic collapse in graphene by monopole impurities, both electric and magnetic, within the context of supersymmetric quantum mechanics. For electric impurities, upon factorizing the radial Dirac Hamiltonian and…

Mathematical Physics · Physics 2016-12-21 David Valenzuela , Saúl Hernández-Ortiz , Marcelo Loewe , Alfredo Raya

Defect-free graphene is impermeable to gases and liquids but highly permeable to thermal protons. Atomic-scale defects such as vacancies, grain boundaries and Stone-Wales defects are predicted to enhance graphene's proton permeability and…

Experimentally produced graphene sheets exhibit a wide range of mobility values. Both extrinsic charged impurities and intrinsic ripples (corrugations) have been suggested to induce long-range disorder in graphene and could be a candidate…

Mesoscale and Nanoscale Physics · Physics 2016-05-13 Zheyong Fan , Andreas Uppstu , Ari Harju

We present a comparative study of high carrier density transport in mono-, bi-, and trilayer graphene using electric-double-layer transistors to continuously tune the carrier density up to values exceeding 10^{14} cm^{-2}. Whereas in…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 J. T. Ye , M. F. Craciun , M. Koshino , S. Russo , S. Inoue , H. T. Yuan , H. Shimotani , A. F. Morpurgo , Y. Iwasa
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