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We report the existence of zero energy surface states localized at zigzag edges of bilayer graphene. Working within the tight-binding approximation we derive the analytic solution for the wavefunctions of these peculiar surface states. It…

介观与纳米尺度物理 · 物理学 2008-01-16 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , A. H. Castro Neto , F. Guinea

The energy spectrum and electronic density of states (DOS) of zigzag graphene nanoribbons with edges reconstructed with topological defects are investigated within the tight-binding method. In case of the Stone-Wales zz (57) edge the…

介观与纳米尺度物理 · 物理学 2015-11-11 Richard Pincak , Jan Smotlacha , Vladimir A. Osipov

A two-dimensional quadrupole topological insulator on a square lattice is a typical example of a higher-order topological insulator. It hosts an edge state localized near each of its $90^{\circ}$ corners at an energy $E$ inside the band…

介观与纳米尺度物理 · 物理学 2020-01-29 Yositake Takane

The electron-phonon matrix element for edge states of carbon nanotubes and graphene at zigzag edges is calculated for obtaining renormalized energy dispersion of the edge states. Self-energy correction by electron-phonon interaction…

介观与纳米尺度物理 · 物理学 2007-06-21 K. Sasaki , K. Sato , J. Jiang , R. Saito , S. Onari , Y. Tanaka

The effect of vacancies on the robustness of zero-energy edge electronic states in zigzag-type graphene layer is studied at different concentrations and distributions of defects. All calculations are performed by using the Green's function…

材料科学 · 物理学 2017-08-02 A. A. Glebov , V. L. Katkov , V. A. Osipov

It is known that zigzag graphene edge is able to support edge states: there is a non-dispersive single-electron band localized near the zigzag edge. However, it is generally believed that no edge states exist near the armchair edge. In this…

介观与纳米尺度物理 · 物理学 2014-01-14 P. A. Maksimov , A. V. Rozhkov , A. O. Sboychakov

We measured the local density of states (LDOS) of a quasi two-dimensional (2D) electron system near point defects on a surface of highly oriented pyrolytic graphite (HOPG) with scanning tunneling microscopy and spectroscopy. Differential…

介观与纳米尺度物理 · 物理学 2009-11-11 Y. Niimi , H. Kambara , T. Matsui , D. Yoshioka , Hiroshi Fukuyama

We report the existence of zero energy surface states localized at zigzag edges of $N$-layer graphene. Working within the tight-binding approximation, and using the simplest nearest-neighbor model, we derive the analytic solution for the…

介观与纳米尺度物理 · 物理学 2009-11-13 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

介观与纳米尺度物理 · 物理学 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier

Zigzag edges of graphene nanostructures host localized electronic states that are predicted to be spin-polarized. However, these edge states are highly susceptible to edge roughness and interaction with a supporting substrate, complicating…

We consider plane junctions with graphene electrodes, which are formed by a single-level system ("molecule") placed between the edges of two single-layer graphene half planes. We calculate the edge Green functions of the electrodes and the…

介观与纳米尺度物理 · 物理学 2015-06-05 Dmitry A. Ryndyk , Jan Bundesmann , Ming-Hao Liu , Klaus Richter

Motivated by recent scanning tunneling experiments on zigzag-terminated graphene this paper investigates an interplay of evanescent and extended quasiparticle states in the local density of states (LDOS) near a zigzag edge using the Green's…

介观与纳米尺度物理 · 物理学 2007-12-08 Grigory Tkachov

In this work, the tridiagonal method is used to distinguish between edges modes and area modes to study the edge sites properties effect on edge localized states of semi-infinite zigzag 2D honeycomb graphene sheet. The results show a…

介观与纳米尺度物理 · 物理学 2011-10-25 Maher Ahmed

Graphene antidot lattices have recently been proposed as a new breed of graphene-based superlattice structures. We study electronic properties of triangular antidot lattices, with emphasis on the occurrence of dispersionless (flat) bands…

介观与纳米尺度物理 · 物理学 2009-07-16 Mihajlo Vanevic , Vladimir M. Stojanovic , Markus Kindermann

Density functional theory calculations are used to investigate the electronic structures of localized states at reconstructed armchair graphene edges. We consider graphene nanoribbons with two different edge types and obtain the energy band…

介观与纳米尺度物理 · 物理学 2013-07-03 Changwon Park , Jisoon Ihm , Gunn Kim

We study the interplay between the edge states and a single impurity in a zigzag graphene nanoribbon. We use tight-binding exact diagonalization techniques, as well as density functional theory calculations to obtain the eigenvalue…

介观与纳米尺度物理 · 物理学 2015-06-05 L. Bilteanu , C. Dutreix , A. Jagannathan , C. Bena

Despite the enormous interest in the properties of graphene and the potential of graphene nanostructures in electronic applications, the study of quantum confined states in atomically well-defined graphene nanostructures remains an…

We studied experimentally and theoretically the electronic local density of states (LDOS) near single step edges at the surface of exfoliated graphite. In scanning tunneling microscopy measurements, we observed the $(\sqrt{3} \times…

化学物理 · 物理学 2009-11-10 Y. Niimi , T. Matsui , H. Kambara , K. Tagami , M. Tsukada , Hiroshi Fukuyama

We calculate, within a self-consistent Hartree-Fock approximation, the local density of states for different electron crystals in graphene subject to a strong magnetic field. We investigate both the Wigner crystal and bubble crystals with…

介观与纳米尺度物理 · 物理学 2009-12-01 O. Poplavskyy , M. O. Goerbig , C. Morais Smith

A theoretical study of the electronic properties of nanodisks and nanocones is presented within the framework of a tight-binding scheme. The electronic densities of states and absorption coefficients are calculated for such structures with…

介观与纳米尺度物理 · 物理学 2013-02-27 P. Ulloa , M. Pacheco , L. E. Oliveira , A. Latge
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