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We extensively characterize the electronic structure of ultra-narrow graphene nanoribbons (GNRs) with armchair edges and zig-zag termini that have 5 carbon atoms across their width (5-AGNRs), as synthesised on Au(111). Scanning tunnelling…

We study the effects of uniaxial strains on the transport properties of the graphene nanoribbons(GNRs) connected with two metallic leads in heterojunctions, using the transfer matrix method. Two typical GNRs with zigzag and armchair…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Jing Wang , Guiping Zhang , Fei Ye , Xiaoqun Wang

We construct the Hamiltonian description of the Chern-Simons theory with Z_n gauge group on a triangular lattice. We show that the Z_2 model can be mapped onto free Majorana fermions and compute the excitation spectrum. In the bulk the…

Statistical Mechanics · Physics 2009-11-11 B. Doucot , L. B. Ioffe

Using a combination of accurate density-functional theory and a nonequilibrium Green function's method, we calculate the ballistic thermal conductance characteristics of tensile-strained armchair (AGNR) and zigzag (ZGNR) edge graphene…

Materials Science · Physics 2013-08-22 Pei Shan Emmeline Yeo , Kian Ping Loh , Chee Kwan Gan

The low energy spectrum of a zigzag graphene ribbon contains two gapless bands with highly non-linear dispersion, $\epsilon(k)=\pm |\pi-k|^W$, where $W$ is the width of the ribbon. The corresponding states are located at the two opposite…

Disordered Systems and Neural Networks · Physics 2022-11-23 Saumitran Kasturirangan , Alex Kamenev , Fiona J. Burnell

We investigate the electronic and optical properties of lateral heterostructures made of alternated armchair ribbons of graphene and hexagonal boron nitride. It is known that the gapwidth of these heterostructures can be classified into…

Materials Science · Physics 2026-01-22 Elisa Serrano Richaud , Sylvain Latil , Lorenzo Sponza

The flat band of edge states which occur in the simple tight-binding lattice model of graphene with a zig-zag edge have long been conjectured to take up a ferromagnetic configuration. In this work we demonstrate that, for a large class of…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Gordon W. Semenoff

With nonequilibrium Green's function approach combined with density functional theory, we perform an ab initio calculation to investigate transport properties of graphene nanoribbon junctions self-consistently. Tight-binding approximation…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 G. Yin , Y. Y. Liang , F. Jiang , H. Chen , P. Wang , R. Note , H. Mizuseki , Y. Kawazoe

Graphene nanoribbons are a promising candidate for fault-tolerant quantum electronics. In this scenario, qubits are realised by localised states that can emerge on junctions in hybrid ribbons formed by two armchair nanoribbons of different…

Mesoscale and Nanoscale Physics · Physics 2024-10-23 Johann Ostmeyer , Lado Razmadze , Evan Berkowitz , Thomas Luu , Ulf-G. Meißner

We report an exact map into one dimensional effective chains, of the tight-binding Hamiltonian for electrons in armchair and zigzag graphene nanoribbons with any uniaxial ripple. This mapping is used for studying the effect of uniaxial…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Pedro Roman-Taboada , Gerardo G. Naumis

Here we analyze the electron transport properties of a device formed of two crossed graphene nanoribbons with zigzag edges (ZGNRs) in a spin state with total magnetization different from zero. While the ground state of ZGNRs has been shown…

Mesoscale and Nanoscale Physics · Physics 2025-01-15 Sofia Sanz , Géza Giedke , Daniel Sánchez-Portal , Thomas Frederiksen

In this work we address the effects on the conductance of graphene nanoribbons (GNRs) at which organic molecules are side-attached on the ribbon ends. For simplicity, only armchair (AGNRs) and zigzag (ZGNRs) nanoribbons are considered and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. Rosales , M. Pacheco , Z. Barticevic , A. Latge , P. A. Orellana

We study the electronic properties of electrons in flat and curved zigzag graphene ribbons using a tight-binding model within the Slater Koster approximation. We find that curvature dramatically enhances the action of spin orbit effects in…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. Gosálbez-Martínez , J. J. Palacios , J. Fernández-Rossier

Graphene has many advantageous properties, but its lack of an electronic band gap makes this two dimensional material impractical for many nanoelectronic applications, for example field effect transistors. This problem can be circumvented…

Mesoscale and Nanoscale Physics · Physics 2009-12-17 Peter Nemes Incze , Gabor Magda , Katalin Kamaras , Laszlo Peter Biro

We investigate the electronic properties of a hybrid system that comprises single-bilayer graphene structures subjected to a perpendicular magnetic field. Specifically, our focus is on the behavior exhibited by the zigzag boundaries of the…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Nadia Benlakhouy , Ahmed Jellal , Michael Schreiber

Quantum confinement and interference often generate exotic properties in nanostructures. One recent highlight is the experimental indication of a magnetic phase transition in zigzag-edged graphene nanoribbons at the critical ribbon width of…

Mesoscale and Nanoscale Physics · Physics 2017-07-14 Wen-Chao Chen , Yuan Zhou , Shun-Li Yu , Wei-Guo Yin , Chang-De Gong

We study transport properties of hexagonal zigzag graphene quantum rings connected to semi-infinite nanoribbons. Open two-fold symmetric structures support localized states that can be traced back to those existing in the isolated six-fold…

Mesoscale and Nanoscale Physics · Physics 2017-01-09 D. Faria , R. Carrillo-Bastos , N. Sandler , A. Latgé

We address the electronic structure and magnetic properties of vacancies and voids both in graphene and graphene ribbons. Using a mean field Hubbard model, we study the appearance of magnetic textures associated to removing a single atom…

Mesoscale and Nanoscale Physics · Physics 2008-11-27 J. J. Palacios , J. Fernandez-Rossier , L. Brey

We theoretically design a graphene-based all-organic ferromagnetic semiconductor by terminating zigzag graphene nanoribbons (ZGNRs) with organic magnets. A large spin-split gap with 100% spin polarized density of states near the Fermi…

Materials Science · Physics 2017-09-13 D. Hou , J. H. Wei , S. J. Xie

A ribbon is, intuitively, a smooth mapping of an annulus $S^1 \times I$ in 3-space having constant width $\varepsilon$. This can be formalized as a triple $(x,\varepsilon, \mathbf{u})$ where $x$ is smooth curve in 3-space and $\mathbf{u}$…

Geometric Topology · Mathematics 2018-08-02 Susan C. Brooks , Oguz Durumeric , Jonathan Simon
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