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Related papers: Evidence for Graphene Edges Beyond Zigzag and Armc…

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The deformation and disintegration of a graphene nanoribbon under external electrostatic fields are investigated by first principle quantum mechanical calculations to establish its stability range. The zigzag edges terminated by various…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Haiming Huang , Zhibing Li , H. J. Kreuzer , Weiliang Wang

Matrix elements of electron-light interactions for armchair and zigzag graphene nanoribbons are constructed analytically using a tight-binding model. The changes in wavenumber ($\Delta n$) and pseudospin are the necessary elements if we are…

Materials Science · Physics 2011-09-05 K. Sasaki , K. Kato , Y. Tokura , K. Oguri , T. Sogawa

Two-dimensional (2D) crystals' edge structures not only influence their overall properties but also dictate their formation due to edge-mediated synthesis and etching processes. Edges must be carefully examined because they often display…

Mesoscale and Nanoscale Physics · Physics 2022-08-03 Sol Lee , Yangjin Lee , Li Ping Ding , Kihyun Lee , Feng Ding , Kwanpyo Kim

It is difficult to completely eliminate disorder during the fabrication of graphene-based nanodevices. From a simulation perspective, it is straightforward to determine the electronic transport properties of disordered devices if complete…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Shardul Mukim , Meric E. Kucukbas , Stephen R. Power , Mauro S. Ferreira

Two-dimensional (2D) honeycomb lattices beyond graphene, such as germanene, promise new physical properties such as quantum spin Hall effect. While there have been many claims of growth of germanene, the lack of precise structural…

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

Edge states in narrow quasi two-dimensional nanostructures determine, to a large extent, their electric, thermoelectric and magnetic properties. Non-magnetic edge states may quite often lead to topological insulator type behavior. However…

Mesoscale and Nanoscale Physics · Physics 2017-10-31 Stefan Krompiewski , Gianaurelio Cuniberti

We present a new way of nano-engineering graphene using defect domains. These regions have ring structures that depart from the usual honeycomb lattice, though each carbon atom still has three nearest neighbors. A set of stable domain…

Materials Science · Physics 2010-06-01 Mark T. Lusk , L. D. Carr

We present numerical studies of quantum walks on \C60 and related graphene structures, to investigate their transport properties. Also known as a \emph{honeycomb lattice}, the lattice formed by carbon atoms in the graphene phase can be…

Quantum Physics · Physics 2018-01-09 Hamza Bougroura , Habib Aissaoui , Nicholas Chancellor , Viv Kendon

Spin-1/2 particles such as the electron are described by the Dirac equation, which allows for two spin eigenvalues (up or down) and two types of energy eigenvalues (positive or negative, corresponding to the electron and the positron). A…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Matthew Mecklenburg , B. C. Regan

An interesting property of zigzag graphene nanoribbons is the presence of edge states which are extended along its borders but localized in the transverse direction. We show that because of this property, electron transport through an…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 Gonzalo Usaj

We investigated the electronic superstructure of graphite surface in the vicinity to monoatomic armchair step edges with scanning tunneling microscopy and spectroscopy. Only the ($\sqrt{3}\times\sqrt{3}$)$\textit{R}$30$^{\circ}$…

Strongly Correlated Electrons · Physics 2019-09-18 Wenhan Zhang , Zheng Ju , Weida Wu

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

Using first-principles density-functional theory, we study the electronic structure of multilayer graphene nanoribbons as a function of the ribbon width and the external electric field, applied perpendicular to the ribbon layers. We…

Materials Science · Physics 2015-05-19 Bhagawan Sahu , Hongki Min , Sanjay K. Banerjee

Electronic transport with a line (or a few lines) of Anderson type disorder in a zigzag graphene nanoribbon is investigated in presence of Rashba spin-orbit interaction. Such line disorders give rise to peculiar behavior in both charge as…

Mesoscale and Nanoscale Physics · Physics 2019-01-01 Sudin Ganguly , Saurabh Basu , Santanu K. Maiti

We theoretically study the electronic properties of BC2N nanoribbons with zigzag edges using a tight binding model. We show that the zigzag BC2N nanoribbons have the flat bands and edge states when atoms are arranged as B-C-N-C along the…

Materials Science · Physics 2013-03-18 Tomoaki Kaneko , Kikuo Harigaya

Recent experimental findings and theoretical predictions suggest that nitrogen-doped CVD-grown graphene may give rise to electronic band gaps due to impurity distributions which favour segregation on a single sublattice. Here we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Thomas Aktor , Antti-Pekka Jauho , Stephen R. Power

The topological phases of graphene with spin-orbit coupling, an exchange field, and a staggered-sublattice potential determine the properties of the edge states of the zigzag nanoribbon. In the presence of the Hubbard interaction, the…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Ma Luo

The structures, cohesive energies and HOMO-LUMO gaps of graphene nanoflakes and corresponding polycyclic aromatic hydrocarbons for a large variety of size and topology are investigated at the density functional based tight-binding level.…

Materials Science · Physics 2013-02-27 Agnieszka Kuc , Thomas Heine , Gotthard Seifert

We demonstrate theoretically that hydrogenation and annealing applied to nanoscale carbon structures play a crucial role in determining the final shape of the system. In particular, graphene flakes characterized by the linear and…

Materials Science · Physics 2015-05-27 Julia Berashevich , Tapash Chakraborty