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Zigzag graphene nanoribbons can have magnetic ground states with ferromagnetic, antiferromagnetic, or canted configurations, depending on carrier density. We show that an electric field directed across the ribbon alters the magnetic state,…

Mesoscale and Nanoscale Physics · Physics 2010-12-21 J. Jung , A. H. Macdonald

The electronic properties of graphene zig-zag nanoribbons with electrostatic potentials along the edges are investigated. Using the Dirac-fermion approach, we calculate the energy spectrum of an infinitely long nanoribbon of finite width…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 W. Apel , G. Pal , L. Schweitzer

We study the role of non-locality of exchange in a neutral zigzag graphene nanoribbon within the $\pi$-orbital unrestricted Hartree-Fock approximation. Within this theory we find that the magnetic features are further stabilized for both…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 Jeil Jung

Coherent spin-dependent transport through a junction containing of Normal/Ferromagnetic/Normal bilayer graphene nanoribbon with zigzag edges is investigated by using Landauer formalism. In a more realistic set-up, the exchange field is…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Vahid Derakhshan , Hosein Cheraghchi

In the presence of the Hubbard interaction, graphene zigzag nanoribbons have spontaneous edge magnetism with anti-parallel configuration, whose amplitude can be tuned by a transversal electric field. As the electric field increases or…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Ma Luo

Using a continuum Dirac theory, we study the density and spin response of zigzag edge terminated graphene ribbons subjected to edge potentials and Zeeman fields. Our analytical calculations of the density and spin responses of the closed…

Mesoscale and Nanoscale Physics · Physics 2010-11-23 Somnath Bhowmick , Vijay B. Shenoy

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

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

Using a first principles density functional electronic structure method, we study the energy gaps and magnetism in bilayer graphene nanoribbons as a function of the ribbon width and the strength of an external electric field between the…

Materials Science · Physics 2009-11-13 Bhagawan Sahu , Hongki Min , Allan. H. MacDonald , Sanjay K. Banerjee

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

Properties in magnetic ordered states of graphene nanoribbons with zigzag shaped edges are investigated by applying mean-field approximation to the Hubbard model with on-site repulsion $U$. We observe that magnetic moments and critical…

Mesoscale and Nanoscale Physics · Physics 2010-03-03 Karin Furukawa , Hideo Yoshioka , Yoneko Mochizuki

Based on first-principles density-functional theory calculations, we present a comparative study of the elec- tronic structures of ultranarrow zigzag graphene nanoribbons (ZGNRs) embedded in hexagonal boron nitride (BN) sheet and fully…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Sun-Woo Kim , Hyun-Jung Kim , Jin-Ho Choi , Ralph H. Scheicher , Jun-Hyung Cho

The present study explores the edge states in a finite-width graphene ribbon and a semi-infinite geometry subject to a perpendicular magnetic field and an in-plane electric field, applied perpendicular to a zigzag edge. To accomplish this,…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

We review the transmission of Dirac electrons through a potential barrier in the presence of circularly polarized light. A different type of transmission is demonstrated and explained. Perfect transmission for nearly head-on collision in…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

Edge structure plays an essential role in the nature of electronic states in graphene nanoribbons. By focusing on the interplay between this feature and non-trivial topology in the domain of the Dirac confinement problem, this paper…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 J. F. O de Souza , Claudio Furtado

The rules that govern spin exchange interaction in pristine graphene nanostructures are constrained by the bipartite character of the lattice, so that the sign of the exchange is determined by whether magnetic moments are on the same…

Mesoscale and Nanoscale Physics · Physics 2016-09-16 R. Ortiz , J. L. Lado , M. Melle-Franco , J. Fernandez-Rossier

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

We show that the ground state of zigzag bilayer graphene nanoribbons is non-magnetic. It also possesses a finite gap, which has a non-monotonic dependence with the width as a consequence of the competition between bulk and strongly…

Materials Science · Physics 2009-04-03 Matheus P. Lima , A. Fazzio , Antônio J. R. da Silva

The zigzag edge graphene nanoribbon, which is an antiferromagnetic insulator, is found from the density-function theory calculation to display a robust Dirac point after N and B doping at the zigzag edge. More interestingly, we found that…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Bo Xu , Jiang Yin , Hongming Weng , Yidong Xia , Xiangang Wan , Zhiguo Liu

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
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