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The electronic properties of graphene may be changed from semimetallic to semiconducting by introducing perforations (antidots) in a periodic pattern. The properties of such graphene antidot lattices (GALs) have previously been studied…

Mesoscale and Nanoscale Physics · Physics 2014-09-12 S. J. Brun , M. R. Thomsen , T. G. Pedersen

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

We study theoretically the coherent electron focusing in graphene nanoribbons. Using semiclassical and numerical tight binding calculations we show that perfect armchair edges give rise to equidistant peaks in the focusing spectrum. In the…

Mesoscale and Nanoscale Physics · Physics 2010-03-22 Peter Rakyta , Andor Kormanyos , Jozsef Cserti , Pekka Koskinen

We investigate higher-order plasmons in graphene nanoribbons, and present how electronic edge states and wavefunction fine structure influence the graphene plasmons. Based on nearest-neighbor tight-binding calculations, we find that a…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Kåre Obel Wedel , N. Asger Mortensen , Kristian S. Thygesen , Martijn Wubs

We explore the optical properties of periodic layered media containing left-handed metamaterials. This study is based on several analogies between the propagation of light in metamaterials and charge transport in graphene. We derive the…

Optics · Physics 2013-08-09 Yury P. Bliokh , Valentin Freilikher , Franco Nori

Theory predicts that graphene under uniaxial compressive strain in an armchair direction should undergo a topological phase transition from a semimetal into an insulator. Due to the change of the hopping integrals under compression, both…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 J. Feilhauer , W. Apel , L. Schweitzer

As a particular application of the earlier proposed model of graphene as a macromolecule, we found the exact analytical expression of dispersion relation for the band of edge states in graphene zigzag ribbons. This band is often referred to…

Mesoscale and Nanoscale Physics · Physics 2008-05-08 Lyuba Malysheva , Alexander Onipko

Theory has predicted rich and very distinct physics for graphene devices with boundaries that follow either the armchair or zigzag crystallographic directions. A prerequisite to disclose this physics in experiment is to be able to produce…

Graphene is an ideal platform to study many-body effects due to its semimetallic character and the possibility to dope it over a wide range. Here we study the width of graphene's occupied $\pi$-band as a function of doping using…

Strongly Correlated Electrons · Physics 2016-08-10 Søren Ulstrup , Malte Schüler , Marco Bianchi , Felix Fromm , Christian Raidel , Thomas Seyller , Tim Wehling , Philip Hofmann

We investigate, in the framework of macroscopic Dirac model, the spectrum, charge density and conductivity of metallic armchair graphene nanoribbons in presence of different mass terms. We reveal the conditions and symmetries governing the…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 C. G. Beneventano , I. V. Fialkovsky , M. Nieto , E. M. Santangelo

A class of graphene wound into three-dimensional periodic curved surfaces ("graphitic zeolites") is proposed and their electronic structures are obtained to explore how the massless Dirac fermions behave on periodic surfaces. We find in the…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Mikito Koshino , Hideo Aoki

We have developed a new global optimization method for the determination of interface structure based on the differential evolution algorithm. Here, we applied this method to search for the ground state atomic structures of the grain…

Materials Science · Physics 2015-06-16 Zheng-Lu Li , Hai-Yuan Cao , Ji-Hui Yang , Qiang Shu , Yue-Yu Zhang , Hongjun Xiang , Xingao Gong

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

Based on a tight-binding approximation, we present analytical solutions for the wavefunction and propagation velocity of an electron in armchair graphene ribbons. The derived expressions are used for computing the transmission coefficients…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Yuriy Klymenko , Oleksii Shevtsov

A number of interesting properties of graphene and graphite are postulated to derive from the peculiar bandstructure of graphene. This bandstructure consists of conical electron and hole pockets that meet at a single point in momentum (k)…

Strongly Correlated Electrons · Physics 2007-05-23 Aaron Bostwick , Taisuke Ohta , Thomas Seyller , K. Horn , Eli Rotenberg

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 T. M. Slipchenko , M. L. Nesterov , L. Martin-Moreno , A. Yu. Nikitin

In this work, using self-consistent tight-binding calculations, for the first time, we show that a direct to indirect bandgap transition is possible in an armchair graphene nanoribbon by the application of an external bias along the width…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Kausik Majumdar , Kota V. R. M. Murali , Navakanta Bhat , Yu-Ming Lin

We will present brief overview on the electronic and transport properties of graphene nanoribbons focusing on the effect of edge shapes and impurity scattering. The low-energy electronic states of graphene have two non-equivalent massless…

Mesoscale and Nanoscale Physics · Physics 2009-09-30 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist

Atomistic simulations were utilized to obtain microscopic information of the elongation process in graphene sheets consisting of various embedded symmetric tilt grain boundaries (GBs). In contrast to pristine graphene, these GBs fractured…

Mesoscale and Nanoscale Physics · Physics 2012-02-14 Young In Jhon , Pil Seung Chung , Robert Smith , Myung S. Jhon

The unconventional properties of graphene, with a massless Dirac band dispersion and large coherence properties, have raised a large interest for applications in nanoelectronics. In this work, we emphasize that graphene two dimensional…

Mesoscale and Nanoscale Physics · Physics 2008-08-27 Pierre Darancet , Valerio Olevano , Didier Mayou