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We have performed a first-principles study on the deformation effect of the electronic structures of graphite nanoribbon arrays with zigzag edges on both sides, and the edge atoms are terminated with hydrogen atoms. A uniaxial strain is…

Materials Science · Physics 2008-10-28 W. S. Su , B. R. Wu , T. C. Leung

Graphene nanoribbons present diverse electronic properties ranging from semiconducting to half-metallic, depending on their geometry, dimensions and chemical composition. Here we present a route to control these properties via externally…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Oded Hod , Gustavo E. Scuseria

Two-dimensional graphene, carbon nanotubes and graphene nanoribbons represent a novel class of low dimensional materials that could serve as building blocks for future carbon-based nanoelectronics. Although these systems share a similar…

Mesoscale and Nanoscale Physics · Physics 2009-06-05 Alessandro Cresti , Norbert Nemec , Blanca Biel , Gabriel Niebler , Francois Triozon , Gianaurelio Cuniberti , Stephan Roche

Electronic and magnetic properties of ribbon-shaped nanographite systems with zigzag and armchair edges in a magnetic field are investigated by using a tight binding model. One of the most remarkable features of these systems is the…

Materials Science · Physics 2016-08-31 Katsunori Wakabayashi , Mitsutaka Fujita , Hiroshi Ajiki , Manfred Sigrist

We present a novel comprehensive first-principles theoretical study of the electronic properties and relative stabilities of edge-oxidized zigzag graphene nanoribbons. The oxidation schemes considered include hydroxyl, carboxyl, ether, and…

Materials Science · Physics 2015-05-13 Oded Hod , Veronica Barone , Juan E. Peralta , Gustavo E. Scuseria

The stability of graphene nanoribbons in the presence of typical atmospheric molecules is systematically investigated by means of density functional theory. We calculate the edge formation free energy of five different edge configurations…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. Vanin , J. Gath , K. S. Thygesen , K. W. Jacobsen

Morphology mediates the interplay between the structure and electronic transport in atomically thin nanoribbons such as graphene as the relaxation of edge stresses occurs preferentially via out-of-plane deflections. In the case of…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Hailong Wang , Moneesh Upmanyu

This article reviews the basic theoretical aspects of graphene, a one atom thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations. The Dirac electrons can be controlled by application of external electric…

Other Condensed Matter · Physics 2009-01-15 A. H. Castro Neto , F. Guinea , N. M. R. Peres , K. S. Novoselov , A. K. Geim

We study by density functional and large scale tight-binding transport calculations the electronic structure, magnetism and transport properties of the recently proposed graphene ribbons with edges rolled to form nanotubes. Edges with…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 M. A. Akhukov , Shengjun Yuan , A. Fasolino , M. I. Katsnelson

We present the analytical solution of the wavefunction and energy dispersion of armchair graphene nanoribbons (GNRs) based on the tight-binding approximation. By imposing hard-wall boundary condition, we find that the wavevector in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Huaixiu Zheng , Zhengfei Wang , Tao Luo , Qinwei Shi , Jie Chen

We study edge state magnetism in graphene nanostructures using a mean field theory of the Hubbard model. We investigate how the magnetism of the zigzag edges of graphene is affected by the presence of other types of terminating edges and…

Mesoscale and Nanoscale Physics · Physics 2008-07-04 Somnath Bhowmick , Vijay B. Shenoy

The band structures of strained graphene nanoribbons (GNRs) are examined by a tight binding Hamiltonian that is directly related to the type and strength of strains. Compared to the two-dimensional graphene whose band gap remains close to…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 Yang Lu , Jing Guo

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 L. Bilteanu , C. Dutreix , A. Jagannathan , C. Bena

We study electronic transport in graphene nanoribbons with rough edges. We first consider a model of weak disorder that corresponds to an armchair ribbon whose width randomly changes by a single unit cell size. We find that in this case,…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ivar Martin , Ya. M. Blanter

We study the electronic structure of finite armchair graphene nanoribbons using density-functional theory and the Hubbard model, concentrating on the states localized at the zigzag termini. We show that the energy gaps between end-localized…

Mesoscale and Nanoscale Physics · Physics 2013-08-23 M. Ijäs , M. Ervasti , A. Uppstu , P. Liljeroth , J. van der Lit , I. Swart , A. Harju

The structural flexibility of low dimensional nanomaterials offers unique opportunities for studying the impact of strain on their physical properties and for developing innovative devices utilizing strain engineering. A key towards such…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Fen Guan , Piranavan Kumaravadivel , Dmitri V. Averin , Xu Du

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

Graphene nanoribbons' electronic transport properties strongly depend on the type of edge, armchair, zigzag or other, and on edge functionalization that can be used for band-gap engineering. For only partly hydrogenated edges interesting…

Mesoscale and Nanoscale Physics · Physics 2021-11-12 Sebastian Schneider , Regina Hoffmann-Vogel

We prescribe general rules to predict the existence of edge states and zero-energy flat bands in graphene nanoribbons and graphene edges of arbitrary shape. No calculations are needed. For the so-called {\it{minimal}} edges, the projection…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 W. Jaskolski , A. Ayuela , M. Pelc , H. Santos , L. Chico

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