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An extraordinary low vacuum barrier height of 2.30 eV has been found on the zigzag-edge of graphene terminated with the secondary amine via the ab initio calculation. This edge structure has a flat band of edge states attached to the gamma…

Materials Science · Physics 2012-09-05 Weiliang Wang , Zhibing Li

The effect of strain in graphene is usually modeled by a pseudo-magnetic vector potential which is, however, derived in the limit of small strain. In realistic cases deviations are expected in view of graphene's very high strain tolerance,…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 D. Moldovan , M. Ramezani Masir , F. M. Peeters

Numerical calculations have been performed to elucidate unconventional electronic transport properties in disordered nanographene ribbons with zigzag edges (zigzag ribbons). The energy band structure of zigzag ribbons has two valleys that…

Mesoscale and Nanoscale Physics · Physics 2009-01-07 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist

The intriguing properties of graphene, a two-dimensional material composed of a honeycomb lattice of carbon atoms, have attracted a great deal of interest in recent years. Specifically, the fact that electrons in graphene behave as massless…

Although it was demonstrated that discrete molecular levels determine the sign and magnitude of the thermoelectric effect in single-molecule junctions, full electrostatic control of these levels has not been achieved to date. Here, we show…

We demonstrate that free graphene sheet edges can curl back on themselves,reconstructing as nanotubes. This results in lower formation energies than any other non-functionalised edge structure reported to date in the literature. We…

The electronic and transport properties of hybrid armchair zigzag nanostructures including U-shaped graphene nanoribbons and patterned nanopores structured graphene were studied using combination of density functional theory and…

Materials Science · Physics 2021-04-05 Nguyen Tien Cuong

Properties of bulk and boundaries of materials can, in general, be quite different, both for topological and non-topological reasons. One of the simplest boundary problems to pose is the tight-binding problem of noninteracting electrons on…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Anton Talkachov , Egor Babaev

We investigate new properties of the Dirac electrons in the finite graphene sample under perpendicular magnetic field that emerge when an in-plane electric bias is also applied. The numerical analysis of the Hofstadter spectrum and of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 B. Ostahie , M. Nita , A. Aldea

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

It has been known that edge states of a graphite ribbon are zero-energy, localized eigen-states. We show that next nearest-neighbor hopping process decreases the energy of the edge states at zigzag edge with respect to the Fermi energy. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Sasaki , S. Murakami , R. Saito

We investigate edge properties of a gapful rectangular graphene quantum dot in a staggered potential. In such a system gap states with discrete and closely spaced energy levels exist that are spatially located on the left or right zigzag…

Mesoscale and Nanoscale Physics · Physics 2017-09-29 Y. H. Jeong , S. -R. Eric Yang

We investigate theoretically the magnetic levels and optical properties of zigzag- and armchair-edged hexagonal graphene quantum dots (GQDs) utilizing the tight-binding method. A new bound edge state at zero energy appears for the zigzag…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Z. Z. Zhang , Kai Chang , F. M. Peeters

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 report a full self-consistent ab initio calculation of the conductance of a diarylethene-based molecular switch with two graphene electrodes. Our result show the contributions of the resonant states of the molecule, of the electrode…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 C. Motta , M. I. Trioni , G. P. Brivio , K. L. Sebastian

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

We study edges states of graphene ribbons in the quantized Hall regime, and show that they can be described within a continuum model (the Dirac equation) when appropriate boundary conditions are adopted. The two simplest terminations,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Luis Brey , H. A. Fertig

The electronic property of monolayer-bilayer hybrid graphene with a zigzag interface is studied by both the Dirac equation and numerical calculation. There are two types of zigzag interface stacks. The dispersion and local density of states…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Zi-Xiang Hu , Wenxin Ding

We study the orbital effect of a strong magnetic field parallel to the layers on the energy spectrum of the Bernal-stacked graphene bilayer and multilayers, including graphite. We consider the minimal model with the electron tunneling…

Mesoscale and Nanoscale Physics · Physics 2010-11-15 Sergey S. Pershoguba , Victor M. Yakovenko

Change of the bonding environment at the free edges of graphene monolayer leads to excess edge energy and edge force, depending on the edge morphology (zigzag or armchair). By using a reactive empirical bond-order potential and atomistic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Qiang Lu , Rui Huang