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Massless Dirac particles on the helicoid are theoretically investigated. With its possible application being helical graphene, we explore how the peculiarities of Dirac particles appear on the curved, screw-symmetric surface. The zweibein…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Masataka Watanabe , Hisato Komatsu , Naoto Tsuji , Hideo Aoki

It is known that the near-field spectrum of the local density of states of the electromagnetic field above a SiC/air interface displays an intense narrow peak due to the presence of a surface polariton. It has been recently shown that this…

We study the photoabsorption cross section and Fermi-edge singularities (FES) in graphene. For fillings below one half, we find, besides the expected FES in form of a peaked edge at the threshold (Fermi) energy, a second singularity to…

Mesoscale and Nanoscale Physics · Physics 2011-06-07 Georg Roeder , Grigory Tkachov , Martina Hentschel

We investigate spin transport in diffusive graphene nanoribbons with both clean and rough zigzag edges, and long-range potential fluctuations. The long-range fields along the ribbon edges cause the local doping to come close to the charge…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 Jan Bundesmann , Ming-Hao Liu , Inanc Adagideli , Klaus Richter

The effective action and the mean fermion number density of graphene in constant external magnetic field at finite temperature and density are calculated. Closed expressions for these are given and their variation with temperature are…

High Energy Physics - Theory · Physics 2013-03-29 Alok Kumar

Using a continuum Dirac theory, we study the density and spin response of zigzag edge terminated graphene ribbons subjected to edge potentials and Zeeman fields. Our analytical calculations of the density and spin responses of the closed…

Mesoscale and Nanoscale Physics · Physics 2010-11-23 Somnath Bhowmick , Vijay B. Shenoy

The low energy spectrum of a zigzag graphene ribbon contains two gapless bands with highly non-linear dispersion, $\epsilon(k)=\pm |\pi-k|^W$, where $W$ is the width of the ribbon. The corresponding states are located at the two opposite…

Disordered Systems and Neural Networks · Physics 2022-11-23 Saumitran Kasturirangan , Alex Kamenev , Fiona J. Burnell

The wave spin of an electron can be fully characterized by the current density calculated from the exact four-spinor solution of the Dirac equation. In the excited states of the electron in a magnetic field-free quantum well, the current…

Quantum Physics · Physics 2023-03-21 Ju Gao , Fang Shen

The density of states (DOS) of graphene underneath a metal is estimated through a quantum capacitance measurement of the metal/graphene/SiO2/n+-Si contact structure fabricated by a resist-free metal deposition process. Graphene underneath…

Materials Science · Physics 2013-07-22 Ryota Ifuku , Kosuke Nagashio , Tomonori Nishimura , Akira Toriumi

We study the electronic structure of graphene in the presence of either sevenfolds or eightfolds by using a gauge field-theory model. The graphene sheet with topological defects is considered as a negative cone surface with infinite…

Materials Science · Physics 2009-11-13 D. V. Kolesnikov , V. A. Osipov

We study the Bloch spectrum and spin physics of 2D massless Dirac electrons in single layer graphene subject to a one dimensional periodic Kronig-Penney potential and Rashba spin-orbit coupling. The Klein paradox exposes novel features in…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Y. Avishai , Y. B. Band

We study electronic properties of graphene derivatives which have closed edges. They are finite-length graphene nanoribbons and graphene nanodisks. No metallic states are found in finite-length zigzag nanoribbons though all infinite-length…

Mesoscale and Nanoscale Physics · Physics 2008-03-02 Motohiko Ezawa

We use density functional theory to determine the equilibrium shape of graphene flakes, through the calculation of the edge orientation dependence of the edge energy and edge stress of graphene nanoribbons. The edge energy is a nearly…

Mesoscale and Nanoscale Physics · Physics 2011-08-08 Chee Kwan Gan , David J. Srolovitz

The edge states that emerge at hydrogen-terminated zigzag edges embedded in dominant armchair edges of graphite are carefully investigated by ultrahigh-vacuum scanning tunneling microscopy (STM) measurements. The edge states at the zigzag…

Materials Science · Physics 2009-11-11 Yousuke Kobayashi , Ken-ichi Fukui , Toshiaki Enoki , Koichi Kusakabe

We investigate the effect of edge defects (vacancies) and impurities (substitutional dopants) on the robustness of spin-polarization in graphene nanoribbons (GNRs) with zigzag edges, using density-functional-theory calculations. We found…

Materials Science · Physics 2009-11-13 Bing Huang , Feng Liu , Jian Wu , Bing-Lin Gu , Wenhui Duan

Disordered Fermi-Dirac distributions are used to model, within a straightforward and essentially phenomenological Boltzmann equation approach, the electron/hole transport across graphene puddles. We establish, with striking experimental…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 L. Moriconi , D. Niemeyer

We have carried out an ab initio study of the structural, electronic and magnetic properties of zigzag graphene nanoribbons on Cu(111), Ag(111) and Au(111). Both, H-free and H-terminated nanoribbons are considered revealing that the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Yan Li , Wei Zhang , Markus Morgenstern , Riccardo Mazzarello

It has been recently demonstrated experimentally that graphene, or single-layer carbon, is a gapless semiconductor with massless Dirac energy spectrum. A finite conductivity per channel of order of $e^{2}/h$ in the limit of zero temperature…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson

We present calculations of the equilibrium current density and Chern numbers for a 2DEG in a periodic potential with infinite strip geometry and a perpendicular magnetic field. We consider a triangular lattice of anti-dots with large (a =…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Zeb E. Krix , Oleg P. Sushkov

The influence of carrier density on magnetism in a zigzag graphene nanoribbon is studied in a $\pi$-orbital Hubbard-model mean-field approximation. Departures from half-filling alter the magnetism, leading to states with charge density…

Mesoscale and Nanoscale Physics · Physics 2011-01-31 J. Jung , A. H. MacDonald