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We perform density functional calculations on one-dimensional zigzag edge graphene nano-ribbons (ZGNRs) of different widths, with and without edge doping including semi-local exchange-correlations. Our study reveals that, although the…

Materials Science · Physics 2008-06-13 Sudipta Dutta , Swapan K. Pati

Using a tight binding model, we theoretically study the electronic properties of zigzag boron-carbon-nitride (BCN) nanoribbons where the outermost C atoms of zigzag graphene nanoribbons are replaced with B and N atoms. We show that the flat…

Materials Science · Physics 2013-05-23 Tomoaki Kaneko , Kikuo Harigaya

Thermoelectric properties of finite graphene nanoribbons (GNRs) coupled to metallic electrodes are theoretically studied in the framework of tight-binding model and Green's function approach. When the zigzag sides are coupled to the…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 David Ming Ting Kuo

Edge states are ubiquitous for many condensed matter systems with multicomponent wave functions. For example, edge states play a crucial role in transport in zigzag graphene nanoribbons. Here, we report microscopic calculations of quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 Thomas Christensen , Weihua Wang , Antti-Pekka Jauho , Martijn Wubs , N. Asger Mortensen

Edge states are one important ingredient to understand transport properties of graphene nanoribbons. We study experimentally the existence and the internal structure of edge states under uniaxial strain of the three main edges: zigzag,…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Matthieu Bellec , Ulrich Kuhl , Gilles Montambaux , Fabrice Mortessagne

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

Dopants positioned near edges in nanostructured graphene behave differently from bulk dopants. Most notable, the amount of charge transferred to delocalized states (i.e. doping efficiency) depends on position as well as edge chirality. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Thomas Garm Pedersen

We consider electronic spectra of graphene nanotubes and their perturbation by impurity atoms absorbed at different positions on nanotube surfaces, within the framework of Anderson hybrid model. A special attention is given to the cases…

Mesoscale and Nanoscale Physics · Physics 2024-06-17 Y. G. Pogorelov , V. M. Loktev

We study the problem of impurities and mid-gap states in a biased graphene bilayer. We show that the properties of the bound states, such as localization lengths and binding energies, can be controlled externally by an electric field…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Johan Nilsson , A. H. Castro Neto

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

Effects of the nearest neighbor Coulomb interaction on nanographene ribbons with zigzag edges are investigated using the extended Hubbard model within the unrestricted Hartree-Fock approximation. The nearest Coulomb interaction stabilizes a…

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

Presence of flat bands and edge states at the Fermi level in graphene nanoribbons with zigzag edges is one of the most interesting and attracting properties of nanocarbon materials but it is believed that they are quite fragile states and…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Tomoaki Kaneko , Kikuo Harigaya , Hiroshi Imamura

Zigzag edges of neutral armchair-oriented Graphene Nano-Ribbons show states strongly localized at those edges. They behave as free radicals that can capture electrons during processing, increasing ribbon's stability. Thus, charging and its…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 E. Louis , E. San-Fabian , G. Chiappe , J. A. Verges

We investigate the effects of homogeneous and inhomogeneous deformations and edge disorder on the conductance of gated graphene nanoribbons. Under increasing homogeneous strain the conductance of such devices initially decreases before it…

Mesoscale and Nanoscale Physics · Physics 2015-03-24 Diana A. Cosma , Marcin Mucha-Kruczynski , Henning Schomerus , Vladimir I. Fal'ko

To determine the impact of including edge states on the phase diagram of a spinless Falicov-Kimball model (FKM) on the Haldane lattice, a study of a corresponding ribbon geometry with zigzag edges is conducted. By varying the ribbon widths,…

Strongly Correlated Electrons · Physics 2022-09-05 Jan Skolimowski

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

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

In this work, the tridiagonal method is used to distinguish between edges modes and area modes to study the edge sites properties effect on edge localized states of semi-infinite zigzag 2D honeycomb graphene sheet. The results show a…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 Maher Ahmed

We studied experimentally and theoretically the electronic local density of states (LDOS) near single step edges at the surface of exfoliated graphite. In scanning tunneling microscopy measurements, we observed the $(\sqrt{3} \times…

Chemical Physics · Physics 2009-11-10 Y. Niimi , T. Matsui , H. Kambara , K. Tagami , M. Tsukada , Hiroshi Fukuyama

Finite-length armchair graphene nanoribbons can behave as one dimensional topological materials, that may show edge states in their zigzag-terminated edges, depending on their width and termination. We show here a full solution of…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 A. García-Fuente , D. Carrascal , G. Ross , J. Ferrer