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We consider the problem of screening of an electrically charged impurity in a clean graphene sheet. When electron-electron interactions are neglected, the screening charge has a sign opposite to that of the impurity, and is localized near…

Strongly Correlated Electrons · Physics 2007-11-29 Rudro R. Biswas , Subir Sachdev , Dam T. Son

Graphene is an excellent candidate for the next generation of electronic materials due to the strict two-dimensionality of its electronic structure as well as the extremely high carrier mobility. A prerequisite for the development of…

Materials Science · Physics 2009-10-01 Isabella Gierz , Christian Riedl , Ulrich Starke , Christian R. Ast , Klaus Kern

Physical property of a single quantum object is governed by its precise atomic arrangement. The direct correlation of localized physical properties with the atomic structures has been therefore strongly desired but still limited in the…

Atomic Physics · Physics 2021-01-29 Ryosuke Senga , Thomas Pichler , Kazu Suenaga

We review field theoretical studies dedicated to understanding the effects of electron-electron interaction in graphene, which is characterized by gapless bands, strong electron-electron interactions, and emerging Lorentz invariance deep in…

High Energy Physics - Theory · Physics 2023-05-30 A. V. Kotikov

Graphene, a one-atom thick zero gap semiconductor [1, 2], has been attracting an increasing interest due to its remarkable physical properties ranging from an electron spectrum resembling relativistic dynamics [3-12] to ballistic transport…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 T. O. Wehling , K. S. Novoselov , S. V. Morozov , E. E. Vdovin , M. I. Katsnelson , A. K. Geim , A. I. Lichtenstein

The influence of plasma etched sample edges on electrical transport and doping is studied. Through electrical transport measurements the overall doping and mobility are analyzed for mono- and bilayer graphene samples. As a result the edge…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 D. Smirnov , G. Yu. Vasileva , J. C. Rode , C. Belke , Yu. B. Vasilyev , Yu. L. Ivanov , R. J. Haug

Graphene is a model system for the study of electrons confined to a strictly two-dimensional layer1 and a large number of electronic phenomena have been demonstrated in graphene, from the fractional2, 3 quantum Hall effect to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jian-Hao Chen , W. G. Cullen , E. D. Williams , M. S. Fuhrer

A model of strongly disordered lattice system with long-range Coulomb interactions between localized charge carriers has been considered. The total electronic energy is characterized by the presence of multiple metastable minima (including…

Strongly Correlated Electrons · Physics 2013-03-08 Yuri G. Pogorelov , J. M. B. Lopes dos Santos , J. M. V. P. Lopes

Defects in graphene, such as vacancies or adsorbents attaching themselves to carbons, may preferentially take positions on one of its two sublattices, thus breaking the global lattice symmetry. This leads to opening a gap in the electronic…

Materials Science · Physics 2010-05-28 V. V. Cheainov , O. Syljuasen , B. L. Altshuler , V. I. Fal'ko

The thermodynamic, kinetic and magnetic properties of the hydrogen monomer on doped graphene layers were studied by ab initio simulations. Electron doping was found to heighten the diffusion potential barrier, while hole doping lowers it.…

Materials Science · Physics 2011-08-17 Liang Feng Huang , Mei Yan Ni , Guo Ren Zhang , Wang Huai Zhou , Yong Gang Li , Xiao Hong Zheng , Zhi Zeng

The tight-binding model is closely associated with the modified layer-based random-phase approximation to thoroughly investigate the electron-electron interactions in sliding bilayer graphene. The Coulomb interactions and intralayer and…

Mesoscale and Nanoscale Physics · Physics 2023-03-13 Chiun-Yan Lin , Ming-Fa Lin

We have systematically investigated the effect of oxidation on the structural and electronic properties of graphene based on first-principles calculations. Energetically favorable atomic configurations and building blocks are identified,…

Mesoscale and Nanoscale Physics · Physics 2009-08-24 Jia-An Yan , Lede Xian , M. Y. Chou

We study the transport of charge carriers through finite graphene structures. The use of numerical exact kernel polynomial and Green function techniques allows us to treat actual sized samples beyond the Dirac-cone approximation.…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 A. Pieper , G. Schubert , G. Wellein , H. Fehske

We numerically investigate the transport properties of disordered interacting electrons in three dimensions in the metallic as well as in the insulating phases. The disordered many-particle problem is modeled by the quantum Coulomb glass…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Thomas Vojta , Frank Epperlein

The screening problem for the Coulomb potential of a charge located in a two-dimensional (2D) system has an intriguing solution with a power law distance screening factor due to out-of-plane electrical fields. This is crucially different…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 K. A. Baryshnikov , A. V. Gert , Yu. B. Vasilyev , A. P. Dmitriev

The effects of Coulomb interactions on the electronic properties of bilayer graphene nanoribbons (BGNs) covered by a gate electrode are studied theoretically. The electron density distribution and the potential profile are calculated…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Hengyi Xu , T. Heinzel , A. A. Shylau , I. V. Zozoulenko

Being a true two-dimensional crystal, graphene has special properties. In particular, a point-like defect in graphene may have effects in the long range. This peculiarity questions the validity of using a supercell geometry in an attempt to…

Materials Science · Physics 2015-06-05 Philippe Lambin , Hakim Amara , François Ducastelle , Luc Henrard

Real-world samples of graphene often exhibit various types of out-of-plane disorder -- ripples, wrinkles and folds -- introduced at the stage of growth and transfer processes. These complex out-of-plane defects resulting from the interplay…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Yifei Guan , Oleg V. Yazyev

We provide a theoretical model for electronic transitions in a two-dimensional (2D) artificial atom in a graphene monolayer. The artificial atom is due to the presence of a charged adatom (Coulomb impurity) in the layer and interacts with a…

Mesoscale and Nanoscale Physics · Physics 2024-12-13 Saparboy Rakhmanov , Reinhold Egger , Doniyor Jumanazarov , Davron Matrasulov

Electron supercollimation, in which a wavepacket is guided to move undistorted along a selected direction, is a highly desirable property that has yet been realized experimentally. Disorder in general is expected to inhibit…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 SangKook Choi , Cheol-Hwan Park , Steven G. Louie