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We use density functional theory to determine the equilibrium shape of graphene flakes, through the calculation of the edge orientation dependence of the edge energy and edge stress of graphene nanoribbons. The edge energy is a nearly…

Mesoscale and Nanoscale Physics · Physics 2011-08-08 Chee Kwan Gan , David J. Srolovitz

The atomic structure of graphene edges is critical in determining the electrical, magnetic, and chemical properties of truncated graphene structures, notably nanoribbons. Unfortunately, graphene edges are typically far from ideal and suffer…

Materials Science · Physics 2013-11-05 Kwanpyo Kim , Sinisa Coh , C. Kisielowski , M. F. Crommie , Steven G. Louie , Marvin L. Cohen , A. Zettl

The electronic properties of graphene are influenced by both geometric confinement and strain. We study the electronic structure of in-plane bent graphene nanoribbons, systems where confinement and strain are combined. To understand its…

Mesoscale and Nanoscale Physics · Physics 2015-08-21 S. G. Stuij , P. H. Jacobse , V. Juricic , C. Morais Smith

We present an analytical description of pi electrons of a finite size bilayer graphene within a framework of the tight-binding model. The bilayered structures considered here are characterized by a rectangular geometry and have a finite…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 J. Ruseckas , G. Juzeliunas , I. V. Zozoulenko

Graphene-based nanostructures exhibit a vast range of exciting electronic properties that are absent in extended graphene. For example, quantum confinement in carbon nanotubes and armchair graphene nanoribbons (AGNRs) leads to the opening…

Graphene nanoribbons' electronic transport properties strongly depend on the type of edge, armchair, zigzag or other, and on edge functionalization that can be used for band-gap engineering. For only partly hydrogenated edges interesting…

Mesoscale and Nanoscale Physics · Physics 2021-11-12 Sebastian Schneider , Regina Hoffmann-Vogel

We investigate the fine structure of the edge states energy spectrum for zigzag and armchair ribbons of graphene in a strong magnetic field. At low energy, the spectra can be described by an effective Schrodinger Hamiltonian with a double…

Mesoscale and Nanoscale Physics · Physics 2011-01-05 Pierre Delplace , Gilles Montambaux

We have studied zigzag and armchair graphene nano ribbons (GNRs), described by the Hubbard Hamiltonian using quantum many body configuration interaction methods. Due to finite termination, we find that the bipartite nature of the graphene…

Materials Science · Physics 2009-11-13 Sudipta Dutta , S. Lakshmi , Swapan K. Pati

We present self-consistent calculations of electron transport in graphene nanoconstrictions within the Hartree approximation. We consider suspended armchair ribbons with V-shaped constrictions having perfect armchair or zigzag edges as well…

Mesoscale and Nanoscale Physics · Physics 2012-06-20 S. Ihnatsenka , G. Kirczenow

Zigzag edges of graphene nanostructures host localized electronic states that are predicted to be spin-polarized. However, these edge states are highly susceptible to edge roughness and interaction with a supporting substrate, complicating…

We investigate the low-lying excitation spectrum and ground-state properties of narrow graphene nanoribbons with zigzag edge configurations. Nanoribbons of comparable widths have been synthesized very recently [P. Ruffieux, \emph{et al.}…

Strongly Correlated Electrons · Physics 2016-10-21 I. Hagymasi , O. Legeza

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

We investigate higher-order plasmons in graphene nanoribbons, and present how electronic edge states and wavefunction fine structure influence the graphene plasmons. Based on nearest-neighbor tight-binding calculations, we find that a…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Kåre Obel Wedel , N. Asger Mortensen , Kristian S. Thygesen , Martijn Wubs

Matrix elements of electron-light interactions for armchair and zigzag graphene nanoribbons are constructed analytically using a tight-binding model. The changes in wavenumber ($\Delta n$) and pseudospin are the necessary elements if we are…

Materials Science · Physics 2011-09-05 K. Sasaki , K. Kato , Y. Tokura , K. Oguri , T. Sogawa

We provide a systematic quantitative description of spin polarization in armchair and zigzag graphene nanoribbons in a perpendicular magnetic field. We first address spinless electrons within the Hartree approximation studying the evolution…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 S. Ihnatsenka , I. V. Zozoulenko

We analyze the electronic structure of twisted bilayer graphene (TBG) nanoribbons close to the magic angle. We describe a transition from an incomplete to a complete moir\'e structure. By considering zigzag and armchair edge terminations,…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Elias Andrade , Pierre A. Pantaleón , Francisco Guinea , Gerardo G. Naumis

Magnetic order emerging in otherwise non-magnetic materials as carbon is a paradigmatic example of a novel type of s-p electron magnetism predicted to be of exceptional high-temperature stability. It has been demonstrated that atomic scale…

We investigate the transmission of electrons between conducting nanoribbon leads oriented at multiples of 60 degrees with respect to one another, connected either directly or through graphene polygons. A mode-matching analysis suggests that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Iyengar , T. Luo , H. A. Fertig , L. Brey

The unusual electronic and optical properties of armchair and zigzag graphene nanoribbons (GNRs) subject to in-plane transverse electric and perpendicular magnetic fields have been systematically investigated. Our calculations were carried…

Mesoscale and Nanoscale Physics · Physics 2021-03-29 Thi-Nga Do , Po-Hsin Shih , Godfrey Gumbs , Danhong Huang

Geometric and electronic properties of folded graphene nanoribbons (FGNRs) are investigated by first-principles calculations. These properties are mainly dominated by the competition or cooperation among stacking, curvature and edge…

Computational Physics · Physics 2015-09-15 Shen-Lin Chang , Bi-Ru Wu , Po-Hua Yang , Ming-Fa Lin
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