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Armchair graphene nanoribbons with different proportions of edge oxygen atoms are investigated by using crystal orbital method based on density functional theory. All the nanoribbons are energetically favorable, although buckled edges are…

Materials Science · Physics 2014-11-07 Hongyu Ge , Guo Wang , Yi Liao

We investigate the Josephson effect in the graphene nanoribbons of length $L$ smaller than the superconducting coherence length and an arbitrary width $W$. We find that in contrast to an ordinary superconducting quantum point contact (SQPC)…

Mesoscale and Nanoscale Physics · Physics 2008-06-24 Ali G. Moghaddam , Malek Zareyan

This paper presents electronic spectra of zigzag and armchair graphene nanoribbons calculated within the tight-binding model for pi-electrons. Zigzag and armchair nanoribbons of different edge geometries are considered, with surface…

Mesoscale and Nanoscale Physics · Physics 2009-02-06 Jaroslaw Klos

Atomic collapse in graphene nanoribbons behaves in a fundamentally different way as compared to monolayer graphene, due to the presence of multiple energy bands and the effect of edges. For armchair nanoribbons we find that bound states…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Jing Wang , Robbe Van Pottelberge , Amber Jacobs , Ben Van Duppen , Francois M. Peeters

A promising approach to attain long-distance coherent spin propagation is accessing topological spin-polarized edge states in graphene. Achieving this without external magnetic fields necessitates engineering graphene band structure,…

We investigate the effects of Rashba spin-orbit interactions on the electronic band-structure and corresponding wave-functions of graphene. By exactly solving a tight-binding model Hamiltonian we obtain the expected splitting of the bands…

Mesoscale and Nanoscale Physics · Physics 2009-05-08 Mahdi Zarea , Nancy Sandler

We investigate topological properties of models that describe graphene on realistic substrates which induce proximity spin-orbit coupling in graphene. A $\mathbb{Z}_2$ phase diagram is calculated for the parameter space of (generally…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Tobias Frank , Petra Högl , Martin Gmitra , Denis Kochan , Jaroslav Fabian

We study the confinement of Dirac fermions in armchair graphene nanoribbons by means of a quantum-dot-type electrostatic potential. With the use of specific projection operators, we find exact solutions for some bound states that satisfy…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Vit Jakubsky , Sengul Kuru , Javier Negro

We study graphene nanoribbons (GNRs) with armchair edges in the presence of Rashba spin-orbit interaction (RSOI). We impose the boundary conditions on the tight binding Hamiltonians for bulk graphene with RSOI by means of a sine transform…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 Lucia Lenz , Daniel F. Urban , Dario Bercioux

Atomistic simulations are used to study the bending of rectangular graphene nano ribbons subjected to axial stress both for free boundary and supported boundary conditions. The shape of the deformations of the buckled graphene nano ribbons,…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 M. Neek-Amal , F. M. Peeters

Tailor-made graphene nanostructures can exhibit symmetry-protected topological boundary states that host localized spin-$1/2$ moments. However, one frequently observes charge transfer on coinage metal substrates, which results in spinless…

We propose a quantum electronic device based on strained graphene nanoribbon. Mechanical strain, internal exchange field and spin-orbit couplings (SOCs) have been exploited as principle parameters to tune physical properties of the device.…

Mesoscale and Nanoscale Physics · Physics 2015-08-26 Marcos Rafael Guassi , Ginetom Souza Diniz , Nancy Sandler , Fanyao Qu

Due to the weak spin-orbit interaction and the peculiar relativistic dispersion in graphene, there are exciting proposals to build spin qubits in graphene nanoribbons with armchair boundaries. However, the mutual interactions between…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hsiu-Hau Lin , Toshiya Hikihara , Horng-Tay Jeng , Bor-Luen Huang , Chung-Yu Mou , Xiao Hu

We address the problem of persistent charge and spin currents on a Corbino disk built from a graphene sheet. We consistently derive the Hamiltonian including kinetic, intrinsic (ISO) and Rashba spin-orbit interactions in cylindrical…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Nelson Bolivar , Ernesto Medina , Bertrand Berche

In this study, we investigate the electronic and magnetic properties of graphane nanoribbons. We find that zigzag and armchair graphane nanoribbons with H-passivated edges are nonmagnetic semiconductors. While bare armchair ribbons are also…

Materials Science · Physics 2010-05-20 Hasan Sahin , Can Ataca , Salim Ciraci

We explore the edge properties of rectangular graphene nanoribbons featuring two zigzag edges and two armchair edges. Although the self-consistent Hartree-Fock fields break chiral symmetry, our work demonstrates that graphene nanoribbons…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Hyun Cheol Lee , S. -R. Eric Yang

A zigzag edge of a graphene nanoribbon supports localized zero modes, ignoring interactions. Based mainly on mean field arguments and numerical approaches, it has been suggested that interactions can produce a large magnetic moment on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Hamed Karimi , Ian Affleck

We present a microscopic theory for interacting graphene armchair nanoribbon quantum dots. Long range interaction processes are responsible for Coulomb blockade and spin-charge separation. Short range ones, arising from the underlying…

Mesoscale and Nanoscale Physics · Physics 2010-03-23 Sonja Koller , Leonhard Mayrhofer , Milena Grifoni

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

Since graphene nanoribbons are thin and flimsy, they need support. Support gives firm ground for applications, and adhesion holds ribbons flat, although not necessarily straight: ribbons with high aspect ratio are prone to bend. The effects…

Mesoscale and Nanoscale Physics · Physics 2012-05-18 Pekka Koskinen