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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

The magnetoconductance of graphene nanoribbons with rough zigzag and armchair edges is studied by numerical simulations. nanoribbons with sufficiently small bulk disorder show a pronounced magnetoconductance minimum at cyclotron radii close…

Mesoscale and Nanoscale Physics · Physics 2011-12-09 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

The electronic and optical properties of graphene nanoribbons under uniaxial periodic strain have been explored using various nearest-neighbor hopping patterns. It is found that by properly selecting hopping patterns, momentum-resolved gaps…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Chunwen Zhang , W. X. Yan

Ideal graphene antidot lattices are predicted to show promising band gap behavior (i.e., $E_G\simeq 500$ meV) under carefully specified conditions. However, for the structures studied so far this behavior is critically dependent on…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 Søren Schou Gregersen , Stephen R. Power , Antti-Pekka Jauho

We study the edge magnetization of bilayer graphene ribbons with zigzag edges. The presence of flat edge-state bands at the Fermi energy of undoped bilayer, which gives rise to a strong peak in the density of states, makes bilayer ribbons…

Mesoscale and Nanoscale Physics · Physics 2008-07-22 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

We report an exact map into one dimensional effective chains, of the tight-binding Hamiltonian for electrons in armchair and zigzag graphene nanoribbons with any uniaxial ripple. This mapping is used for studying the effect of uniaxial…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Pedro Roman-Taboada , Gerardo G. Naumis

A variational Monte Carlo calculation is used for studying the ground state of the two-dimensional Hubbard model, including hopping between both nearest and next-nearest neighbor sites. Superconductivity with d-wave symmetry is found to be…

Strongly Correlated Electrons · Physics 2008-08-05 D. Eichenberger , D. Baeriswyl

Spin-dependent features in the conductivity of graphene, chemically modified by a random distribution of hydrogen adatoms, are explored theoretically. The spin effects are taken into account using a mean-field self-consistent Hubbard model…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 David Soriano , Nicolas Leconte , Pablo Ordejón , Jean-Christophe Charlier , Juan José Palacios , Stephan Roche

Dynamical spin susceptibility is calculated for the generalized ferromagnetic Kondo model which describes itinerant $e_{g}$ electrons interacting with localized $t_{2g}$ electrons with antiferromagnetic coupling. The calculations done in…

Strongly Correlated Electrons · Physics 2016-08-31 N. B. Perkins , N. M. Plakida

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

The characteristics of energy band spectrum of armchair graphene nanoribbons in presence of line defect are analyzed within a simple non-interacting tight-binding framework. In metallic nanoribbons an energy gap may or may not appear in the…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Paramita Dutta , Santanu K. Maiti , S. N. Karmakar

Intrinsic and Rashba spin-orbit interactions in strained graphene is studied within the tight-binding (TB) approach. Dependence of Slater-Koster (SK) parameters of graphene on strain are extracted by fitting the \emph{ab initio} band…

Mesoscale and Nanoscale Physics · Physics 2019-02-08 H. Rezaei , A. Phirouznia

It is difficult to completely eliminate disorder during the fabrication of graphene-based nanodevices. From a simulation perspective, it is straightforward to determine the electronic transport properties of disordered devices if complete…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Shardul Mukim , Meric E. Kucukbas , Stephen R. Power , Mauro S. Ferreira

A simple model which combines tight-binding (TB) approximation with parameters derived from first principle calculations is developed for studying the influence of edge passivation and uniaxial strain on electron effective mass of armchair…

Mesoscale and Nanoscale Physics · Physics 2014-06-06 Benjamin O. Tayo

We investigate the spin and charge susceptibilities of the two-dimensional Hubbard model based upon the perturbative calculation in the strength of correlation $U$. For $U$ comparable to a bare bandwidth, the charge susceptibility decreases…

Condensed Matter · Physics 2009-10-28 Takashi Hotta , Satoshi Fujimoto

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

We study the electronic structure of chiral and achiral graphene nanoribbons with symmetric edges, including curvature and spin-orbit effects. Curved ribbons show spin-split bands, whereas flat ribbons present spin-degenerate bands. We show…

Mesoscale and Nanoscale Physics · Physics 2013-06-07 Hernán Santos , M. C. Muñoz , M. P. López-Sancho , Leonor Chico

Optical selection rules for one-dimensional graphene nanoribbons are analytically studied and clarified based on the tight-binding model. A theoretical explanation, through analyzing the velocity matrix elements and the features of…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 H. C. Chung , M. H. Lee , C. P. Chang , M. F. Lin

We study theoretically the coherent electron focusing in graphene nanoribbons. Using semiclassical and numerical tight binding calculations we show that perfect armchair edges give rise to equidistant peaks in the focusing spectrum. In the…

Mesoscale and Nanoscale Physics · Physics 2010-03-22 Peter Rakyta , Andor Kormanyos , Jozsef Cserti , Pekka Koskinen

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