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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

Graphene-based nanostructures exhibit a vast range of exciting electronic properties that are absent in extended graphene. For example, quantum confinement in carbon nanotubes and armchair graphene nanoribbons (AGNRs) leads to the opening…

We study the scattering phase shift of Dirac fermions at graphene edge. We find that when a plane wave of a Dirac fermion is reflected at an edge of graphene, its reflection phase is shifted by the geometric phase resulting from the change…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Sang-Jun Choi , Sunghun Park , H. -S. Sim

Angle-resolved photoemission and X-ray diffraction experiments show that multilayer epitaxial graphene grown on the SiC(000-1) surface is a new form of carbon that is composed of effectively isolated graphene sheets. The unique rotational…

Edge states in biased bilayer graphene in a magnetic field are studied within the four-band continuum model. The analysis is done for the semi-infinite graphene plane and for the graphene ribbon of a finite width, in the cases of zigzag and…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 P. K. Pyatkovskiy

The intercalation of an oxide barrier between graphene and its metallic substrate for chem- ical vapor deposition is a contamination-free alternative to the transfer of graphene to dielectric supports, usually needed for the realization of…

Patterning graphene into various mesoscopic devices such as nanoribbons, quantum dots, etc. by lithographic techniques has enabled the guiding and manipulation of graphene's Dirac-type charge carriers. Graphene, with well-defined strain…

Mesoscale and Nanoscale Physics · Physics 2017-06-09 Péter Nemes-Incze , Gergő Kukucska , János Koltai , Jenő Kürti , Chanyong Hwang , Levente Tapasztó , László P. Biró

We analyze the effect of tensional strain in the electronic structure of graphene. In the absence of electron-electron interactions, within linear elasticity theory, and a tight-binding approach, we observe that strain can generate a bulk…

Materials Science · Physics 2009-07-15 Vitor M. Pereira , A. H. Castro Neto , N. M. R. Peres

In this report, we present Raman spectroscopy investigation of the thermal stability and dynamics of graphene edges. It was found that graphene edges (both armchair and zigzag) are not stable and undergo modifications even at temperature as…

Materials Science · Physics 2010-12-15 Ya Nan Xu , Da Zhan , Lei Liu , Hui Suo , Zhen Hua Ni , Thuong Thuong Nguyen , Chun Zhao , Ze Xiang Shen

Graphene, a honeycomb lattice of carbon atoms ruled by tight-binding interaction, exhibits extraordinary electronic properties due to the presence of Dirac cones within its band structure. These intriguing singularities have naturally…

Classical Physics · Physics 2018-09-28 S. Yves , F. Lemoult , M. Fink , G. Lerosey

While crystalline two-dimensional materials have become an experimental reality during the past few years, an amorphous 2-D material has not been reported before. Here, using electron irradiation we create an sp2-hybridized one-atom-thick…

Materials Science · Physics 2011-03-22 J. Kotakoski , A. V. Krasheninnikov , U. Kaiser , J. C. Meyer

We investigate the fine structure of the edge states energy spectrum for zigzag and armchair ribbons of graphene in a strong magnetic field. At low energy, the spectra can be described by an effective Schrodinger Hamiltonian with a double…

Mesoscale and Nanoscale Physics · Physics 2011-01-05 Pierre Delplace , Gilles Montambaux

We have performed first-principles calculations of graphene edge stresses, which display two interesting quantum manifestations absent from the classical interpretation: the armchair edge stress oscillates with a nanoribbon width, and the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Bing Huang , Miao Liu , Ninghai Su , Jian Wu , Wenhui Duan , Bing-lin Gu , Feng Liu

Vibrational properties of graphene nanoribbons are examined with density functional based tight-binding method and non-resonant bond polarization theory. We show that the recently discovered reconstructed zigzag edge can be identified from…

Materials Science · Physics 2009-11-13 S. Malola , H. Häkkinen , P. Koskinen

The electronic properties of twisted bilayer graphene on SiC substrate were studied via combination of transport measurements and scanning tunneling microscopy. We report the observation of enhanced intervalley scattering from one Dirac…

Mesoscale and Nanoscale Physics · Physics 2012-09-17 Lan Meng , Zhao-Dong Chu , Yanfeng Zhang , Ji-Yong Yang , Rui-Fen Dou , Jia-Cai Nie , Lin He

We demonstrate insights into the three-dimensional structure of defects in graphene, in particular grain boundaries, obtained via a new approach from two transmission electron microscopy images recorded at different angles. The structure is…

This study examines the roughness of mechanically cleaved edges in 2D crystals and glasses using molecular dynamics simulations with chemically accurate machine-learning force fields. Our results show that ultra-flat armchair and zigzag…

Materials Science · Physics 2024-07-22 Pengjie Shi , Zhiping Xu

The coherent electron transport along zigzag and metallic armchair graphene nanoribbons in the presence of one or two vacancies is investigated. Having in mind atomic scale tunability of the conductance fingerprints, the primary focus is on…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 D. A. Bahamon , A. L. C. Pereira , P. A. Schulz

A quantum graph model for a single sheet of graphene is extended to bilayer and trilayer Bernal-stacked graphene; the spectra are characterized and the dispersion relations explicitly obtained; Dirac cones are then proven to be present only…

Mathematical Physics · Physics 2020-11-18 Cesar R. de Oliveira , Vinicius L. Rocha

Graphene's isolation launched explorations of fundamental relativistic physics originating from the planar honeycomb lattice arrangement of the carbon atoms, and of potential technological applications in nanoscale electronics. Bottom-up…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 Constantine Yannouleas , Igor Romanovsky , Uzi Landman
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