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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

Electronic structures of graphene sheet with different defective patterns are investigated, based on the first principles calculations. We find that defective patterns can tune the electronic structures of the graphene significantly.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Y. He , Y. Zhang , B. C. Pan

The optical conductivity of graphene nanoribbons is analytical and exactly derived. It is shown that the absence of translation invariance along the transverse direction allows considerable intra-band absorption in a narrow frequency window…

Mesoscale and Nanoscale Physics · Physics 2012-09-21 F. Hipolito , A. J. Chaves , R. M. Ribeiro , M. I. Vasilevskiy , Vitor M. Pereira , N. M. R. Peres

Deterministic band gap in quasi-one-dimensional nanoribbons is prerequisite for their integrated functionalities in high-performance molecular-electronics based devices. However, multiple band gap values commonly observed in the same width…

Materials Science · Physics 2017-01-24 Deepika , Shailesh Kumar , Alok Shukla , Rakesh Kumar

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially)…

We propose two schemes of field-effect transistor based on gapped armchair graphene nanoribbons connected to metal leads, by introducing sidearms or on-site gate voltages. We make use of the band gap to reach excellent switch-off character.…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 H. Tong , M. W. Wu

We investigate, in the framework of macroscopic Dirac model, the spectrum, charge density and conductivity of metallic armchair graphene nanoribbons in presence of different mass terms. We reveal the conditions and symmetries governing the…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 C. G. Beneventano , I. V. Fialkovsky , M. Nieto , E. M. Santangelo

We analyze the relevance of finite-size effects to the electronic structure of long graphene nanoribbons using a divide and conquer density functional approach. We find that for hydrogen terminated graphene nanoribbons most of the physical…

Materials Science · Physics 2007-12-04 Oded Hod , Juan E. Peralta , Gustavo E. Scuseria

We demonstrate the topological properties of the band-gap of armchair graphene nanoribbons in a spatially varying staggered sublattice potential. Several general scaling laws are presented to quantify the band gap variation. It is found…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 T. E. O'Brien , Chao Zhang , Anthony R. Wright

Graphene is a famous truly two-dimensional (2D) material, possessing a cone-like energy structure near the Fermi level and treated as a gapless semiconductor. Its unique properties trigger researchers to find applications of it. The gapless…

Materials Science · Physics 2024-02-22 Wei-Bang Li , Kuang-I Lin , Yu-Ming Wang , Hsien-Ching Chung , Ming-Fa Lin

It has been shown in a recent study [Nguyen et al., Nanotechnol. \textbf{25}, 165201 (2014)] that unstrained/strained graphene junctions are promising candidates to improve the performance of graphene transistors that is usually hindered by…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Mai Chung Nguyen , Viet Hung Nguyen , Huy-Viet Nguyen , Philippe Dollfus

The effect of substitution atoms on the energy spectrum and the electrical conductivity of graphene was investigated in a Lifshitz one-electron tight-binding model. It is established that the ordering of impurity atoms results in a gap in…

Strongly Correlated Electrons · Physics 2020-03-05 S. P. Repetsky , I. G. Vyshyvana , S. P. Kruchinin , R. M. Melnyk , A. P. Polishchuk

Motivated by recent advances in fabricating graphene nanostructures, we find that an electron can be trapped in Z-shaped graphene nanoconstriction with zigzag edges. The central section of the constriction operates as a single-level quantum…

Mesoscale and Nanoscale Physics · Physics 2010-09-23 Adam Rycerz

We investigate electronic transport in gapped bilayer graphene (gBLG) devices. For certain edge terminations -typically a combination of zigzag, armchair, and bearded types - we observe edge state conduction within the band gap, which is…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Jesús Arturo Sánchez-Sánchez , Thomas Stegmann

Nano-carbon materials are investigated intensively. In this paper, the edge-state in nanographene materials with zigzag edges is studied theoretically. In particular, while the inter-layer interactions are considered, we prove that edge…

Materials Science · Physics 2012-06-15 Kikuo Harigaya

An odd number of zigzag edges in armchair graphene nanoribbons and their mechanical properties (e.g., Young's modulus, Poisson ratio and shear modulus) have potential interest for bandgap engineering in graphene based optoelectronic…

Mesoscale and Nanoscale Physics · Physics 2019-01-04 Sanjay Prabhakar , Roderick Melnik

We study the low energy spin excitations of zigzag graphene nanoribbons of varying width. We find their energy dispersion at small wave vector to be dominated by antiferromagnetic correlations between the ribbon's edges, in accrodance with…

Mesoscale and Nanoscale Physics · Physics 2011-03-29 F. Culchac , A. Latge , A. T. Costa

We investigate the energy spectrum of single layer black phosphorene nanoribbons (BPN) by means of a low-energy expansion of a recently proposed tight-binding model that describes electron and hole bands close to the Fermi energy level.…

Mesoscale and Nanoscale Physics · Physics 2017-08-08 D. J. P. de Sousa , L. V. de Castro , D. R. da Costa , J. Milton Pereira

Two-dimensional graphene, carbon nanotubes and graphene nanoribbons represent a novel class of low dimensional materials that could serve as building blocks for future carbon-based nanoelectronics. Although these systems share a similar…

Mesoscale and Nanoscale Physics · Physics 2009-06-05 Alessandro Cresti , Norbert Nemec , Blanca Biel , Gabriel Niebler , Francois Triozon , Gianaurelio Cuniberti , Stephan Roche

Graphene electronics has motivated much of graphene science for the past decade. A primary goal was to develop high mobility semiconducting graphene with a band gap that is large enough for high performance applications. Graphene ribbons…