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We introduce effective field theories for the electronic properties of graphene in terms of relativistic fermions propagating in 2+1 dimensions, and outline how strong inter-electron interactions may be modelled by numerical simulation of a…

Strongly Correlated Electrons · Physics 2015-01-09 Simon Hands , Wes Armour , Costas Strouthos

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

Void defect is a possible origin of ferromagnetic like feature of pure carbon material. Applying density functional theory to void defect induced graphene nano ribbon (GNR), a detailed relationship between multiple spin state and structure…

Materials Science · Physics 2021-07-06 Norio Ota , Laszlo Nemes

The electrostatic confinement of massless charge carriers is hampered by Klein tunneling. Circumventing this problem in graphene mainly relies on carving out nanostructures or applying electric displacement fields to open a band gap in…

The zero energy modes induced by vacancies in ABC stacked trilayer graphene are investigated. Depending on the position of the vacancy, a new zero energy solution is realised, different from those obtained in multilayer compounds with…

Materials Science · Physics 2012-08-31 Eduardo V. Castro , M. Pilar López-Sancho , María A. H. Vozmediano

We present a study of different models of local disorder in graphene. Our focus is on the main effects that vacancies -- random, compensated and uncompensated --, local impurities and substitutional impurities bring into the electronic…

Disordered Systems and Neural Networks · Physics 2008-03-25 Vitor M. Pereira , J. M. B. Lopes dos Santos , A. H. Castro Neto

We study the effect of various configurations of vacancies on the magnetic properties of graphene nanoflake (GNF) with screened realistic long-range electron interaction [T. O. Wehling, et. al., Phys. Rev. Lett. 106, 236805 (2011)] within…

Strongly Correlated Electrons · Physics 2023-12-12 V. S. Protsenko , A. A. Katanin

Random vacancies in a graphene monolayer induce defect states that are known to form a narrow impurity band centered around zero energy at half-filling. We use a space-resolved formulation of the quantum metric and establish a strong…

Mesoscale and Nanoscale Physics · Physics 2024-08-01 Quentin Marsal , Annica M. Black-Schaffer

The magnetic effects in ferromagnetic graphene basically depend on the principle of exchange interaction when ferromagntism is induced by depositing an insulator layer on graphene. Here we deal with the consequences of non-uniformity in the…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Debashree Chowdhury , B Basu

The electronic density of states of graphene is equivalent to that of relativistic electrons. In the absence of disorder or external doping the Fermi energy lies at the Dirac point where the density of states vanishes. Although transport…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Martin , N. Akerman , G. Ulbricht , T. Lohmann , J. H. Smet , K. von Klitzing , A. Yacoby

The presence of defects such as vacancies in solids has prominent effects on their mechanical properties. It not only modifies the stiffness and strength of materials, but also changes their morphologies. The latter effect is extremely…

Mesoscale and Nanoscale Physics · Physics 2015-08-13 Zhigong Song , Zhiping Xu

Irradiation with high-energy ions has been widely suggested as a tool to engineer properties of graphene. Experiments show that it indeed has a strong effect on its transport, magnetic and mechanical characteristics. However, to use ion…

Mesoscale and Nanoscale Physics · Physics 2014-11-07 Ossi Lehtinen , I-Ling Tsai , Rashid Jalil , Rahul R. Nair , Juhani Keinonen , Ute Kaiser , Irina V. Grigorieva

In this study, we investigate the isolated magnetic interactions between two identical Fe atoms divacantly-substituted into graphene. Using density functional theory, we simulated the electronic and magnetic properties for a supercell of…

Strongly Correlated Electrons · Physics 2019-10-02 R. Putnam , A. V. Balatsky , J. T. Haraldsen

We use quantum Monte Carlo method to study a magnetic impurity located next to a vacancy in bilayer graphene with Bernal stacking. Due to the broken symmetry between two sublattices in bilayer system, there exist two different types of…

Strongly Correlated Electrons · Physics 2014-10-15 J. H. Sun , F. M. Hu , H. K. Tang , H. Q. Lin

We investigate the effect of topological defects on the transport properties of a narrow ballistic ribbon of graphene with zigzag edges. Our results show that the longitudinal conductance vanishes at several discrete Fermi energies where…

Mesoscale and Nanoscale Physics · Physics 2008-10-11 Yan-Yang Zhang , Jiang-Ping Hu , B. A. Bernevig , X. R. Wang , X. C. Xie , W. M. Liu

The electronic transport properties of single layer graphene having a dilute coating of indium adatoms has been investigated. Our studies establish that isolated indium atoms donate electrons to graphene and become a source of charged…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 U. Chandni , Erik A. Henriksen , J. P. Eisenstein

We have carried out first-principles calculations on electronic properties of graphene quantum dots embedded in hexagonal boron nitride monolayer sheets. The calculations with density functional theory show that the band gaps of quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Junwen Li , Vivek B. Shenoy

When an electron is confined to a triangular atomic thick layer of graphene [1-5] with zig-zag edges, its energy spectrum collapses to a shell of degenerate states at the Fermi level (Dirac point) [6-9]. The degeneracy is proportional to…

Materials Science · Physics 2013-05-29 A. D. Guclu , P. Potasz , O. Voznyy , M. Korkusinski , P. Hawrylak

We present an accurate measurement and a quantitative analysis of electron-beam induced displacements of carbon atoms in single-layer graphene. We directly measure the atomic displacement ("knock-on") cross section by counting the lost…

Understanding the magnetic properties of graphenic nanostructures is instrumental in future spintronics applications. These magnetic properties are known to depend crucially on the presence of defects. Here we review our recent theoretical…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Elton J. G. Santos , Andres Ayuela , Daniel Sanchez-Portal
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