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The experimentally observed metal-to-insulator transition in hydrogenated graphene is numerically confirmed for actual sized graphene samples and realistic impurity concentrations. The eigenstates of our tight-binding model with…

Strongly Correlated Electrons · Physics 2012-02-13 Gerald Schubert , Holger Fehske

The intriguing properties of graphene, a two-dimensional material composed of a honeycomb lattice of carbon atoms, have attracted a great deal of interest in recent years. Specifically, the fact that electrons in graphene behave as massless…

Graphene nanoribbons (GNRs) are natural waveguides for electrons in graphene. Nevertheless, unlike micron-sized samples, conductance is nearly suppressed in these narrow graphene stripes, mainly due to scattering with edge disorder…

Mesoscale and Nanoscale Physics · Physics 2022-10-28 E. J. Robles-Raygoza , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , R. Carrillo-Bastos

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 first principles calculations, we studied a new class of graphdiyne nanoribbons (GDYNR) with open hexagonal rings on the edges.To avoid the effects from dangling bond, hydrogen or oxygen atoms were absorbed on the edges. There are two…

Materials Science · Physics 2017-09-12 Cong Chen , Jin Li , Xian-Lei Sheng

The tunable magnetism at graphene edges with lengths of up to 48 unit cells is analyzed by an exact diagonalization technique. For this we use a generalized interacting one-dimensional model which can be tuned continuously from a limit…

Strongly Correlated Electrons · Physics 2011-05-26 David J. Luitz , Fakher F. Assaad , Manuel J. Schmidt

Based on first-principles calculations, electronic properties of edge-functionalized zigzag graphene nanoribbons (ZGNRs) on SiO2 substrate are presented. Metallic or semiconducting properties of ZGNRs are revealed due to various…

Materials Science · Physics 2015-05-27 D. M. Zhang , Z. Li , J. F. Zhong , L. Miao , J. J. Jiang

Realizing controllable room-temperature ferromagnetism in carbon-based materials is one of recent prospects. The magnetism in graphene nanostructures reported previously is mostly formed near the vacancies, zigzag edges, or impurities by…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Wei-Jian Li , Shi-Chang Xiao , Da-Fei Sun , Chang-De Gong , Shun-Li Yu , Yuan Zhou

We investigate theoretically the electronic structure of graphene and boron nitride (BN) lateral heterostructures, which were fabricated in recent experiments. The first-principles density functional calculation demonstrates that a huge…

Mesoscale and Nanoscale Physics · Physics 2016-07-04 Dong Zhang , Maosheng Miao , Fuhua Yang , Haiqing Lin , Kai Chang

Inspired by recent experiments where electron transport was measured across graphene nanoribbons (GNR) suspended between a metal surface and the tip of a scanning tunneling microscope [Koch \textit{et al}., Nat. Nanotechnol. {\bf 7}, 713…

Mesoscale and Nanoscale Physics · Physics 2015-02-27 Rasmus B. Christensen , Thomas Frederiksen , Mads Brandbyge

We investigate the effects of long-range potential fluctuations and electron-electron interactions on electronic and magnetic properties of graphene nanoribbons with zigzag edges using an extended mean-field Hubbard model. We show that…

Mesoscale and Nanoscale Physics · Physics 2016-01-19 H. U. Özdemir , A. Altıntaş , A. D. Güçlü

Graphene nanoribbons support a range of electronic phases that can be controlled via external stimuli. Zigzag-edged graphene nanoribbons (ZGNRs), in particular, exhibit an antiferromagnetic insulating ground state that transitions to a…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Ruize Ma , Michele Pizzochero , Gaurav Chaudhary

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

In a nanographene ring with zigzag edges, the spin-polarized state and the charge-polarized state are stabilized by the on-site and the nearest neighbor Coulomb repulsions, U and V, respectively, within the extended Hubbard model under the…

Strongly Correlated Electrons · Physics 2007-05-23 Atsushi Yamashiro , Yukihiro Shimoi , Kikuo Harigaya , Katsunori Wakabayashi

Edge-induced gap states in finite phosphorene layers are examined using analytical models and density functional theory. The nature of such gap states depends on the direction of the cut. Armchair nanoribbons are insulating, whereas…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. Carvalho , A. S. Rodin , A. H. Castro Neto

Structural distortions in nano-materials can induce dramatic changes in their electronic properties. This situation is well manifested in graphene, a two-dimensional honeycomb structure of carbon atoms with only one atomic layer thickness.…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 N. -C. Yeh , C. -C. Hsu , M. L. Teague , J. -Q. Wang , D. A. Boyd , C. -C. Chen

We present an elaborate and systematic study of the conductance properties of a zigzag bilayer graphene nanoribbon modeled by a Kane-Mele (KM) Hamiltonian. The interplay of the Rashba and the intrinsic spin-orbit couplings with the edge…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Priyanka Sinha , Saurabh Basu

We numerically compute the density of states (DOS) of interacting disordered zigzag graphene nanoribbon (ZGNR) having midgap states showing $e/2$ fractional edge charges. The computed Hartree-Fock DOS is linear at the critical disorder…

Strongly Correlated Electrons · Physics 2020-07-23 S. -R. Eric Yang , Min-Chul Cha , Hye Jeong Lee , Young Heon Kim

Angle-resolved two-photon photoemission and high-resolution electron energy loss spectroscopy are employed to derive the electronic structure of a sub-nanometer tomically precise quasi-one-dimensional graphene nanoribbon (GNR) on Au(111).…

Materials Science · Physics 2012-11-26 C. Bronner , F. Leyssner , S. Stremlau , M. Utecht , P. Saalfrank , T. Klamroth , P. Tegeder

Graphene nanoribbon folds with single and double closed edges are studied using density functional theory methods. Van der Waals dispersive interactions are included via semi-empirical pairwise optimized potential. The geometrical phases of…

Materials Science · Physics 2013-05-09 Nam B. Le , Lilia M. Woods