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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 demonstrate theoretically that hydrogenation and annealing applied to nanoscale carbon structures play a crucial role in determining the final shape of the system. In particular, graphene flakes characterized by the linear and…

Materials Science · Physics 2015-05-27 Julia Berashevich , Tapash Chakraborty

We explore the edge properties of rectangular graphene nanoribbons featuring two zigzag edges and two armchair edges. Although the self-consistent Hartree-Fock fields break chiral symmetry, our work demonstrates that graphene nanoribbons…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Hyun Cheol Lee , S. -R. Eric Yang

A theoretical study of the magnetoelectronic properties of zigzag and armchair bilayer graphene nanoribbons (BGNs) is presented. Using the recursive Green's function method, we study the band structure of BGNs in uniform perpendicular…

Mesoscale and Nanoscale Physics · Physics 2009-07-13 Hengyi Xu , T. Heinzel , I. V. Zozoulenko

We study the effect of magnetism and perpendicular external electric field strengths on the energy gap of length confined bilayer graphene nanoribbons (or nanoflakes) as a function of ribbon width and length using a \textit{first…

Materials Science · Physics 2010-01-28 Bhagawan Sahu , Hongki Min , Sanjay K. Banerjee

We demonstrate a finite twist-angle stabilization mechanism in lattice-mismatched 2D heterobilayers, which results from the geometric alignment between the flake edges and its moire pattern. Using atomistic simulations of graphene on…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Prathap Kumar Jharapla , Nicolas Leconte , Zhiren He , Guru Khalsa , Jeil Jung

Edge effects play an important role for many properties of graphene. While most works have focused on the effects from isolated free edges, we present a novel knotting phenomenon induced by the interactions between a pair of free edges in…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Hao-Yu Zhang , Jin-Wu Jiang , Tienchong Chang , Xingming Guo , Harold S. Park

The electronic energy gap and total dipole moment of chemically functionalized hexagonal and triangular graphene quantum dots are investigated by the density functional theory. It has been found that the energy gap can be efficiently tuned…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Hazem Abdelsalam , Hanan Elhaes , Medhat A. Ibrahim

The deformation and disintegration of a graphene nanoribbon under external electrostatic fields are investigated by first principle quantum mechanical calculations to establish its stability range. The zigzag edges terminated by various…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Haiming Huang , Zhibing Li , H. J. Kreuzer , Weiliang Wang

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 report on the configurations and electronic properties of graphyne and graphdiyne nanoribbons with armchair and zigzag edges investigated with first principles calculations. Our results show that all the nanoribbons are semiconductors…

Mesoscale and Nanoscale Physics · Physics 2013-10-25 Lida Pan , Lizhi Zhang , Boqun Song , Shixuan Du , Hongjun Gao

We have determined the equilibrium shape of graphene domains grown on Ni(111) via carbon segregation at 925{\deg}C. In situ, spatially-resolved electron diffraction measurements were used to determine the crystallographic orientation of the…

Materials Science · Physics 2013-05-06 Meifang Li , J. B. Hannon , R. M. Tromp , Jiebing Sun , Junwen Li , V. B. Shenoy , E. Chason

We present a first-principles study of the migration and recombination of edge defects (carbon adatom and/or vacancy) and their influence on electrical conductance in zigzag graphene nanoribbons (ZGNRs). It is found that at room…

Mesoscale and Nanoscale Physics · Physics 2010-09-10 Jia Li , Zuanyi Li , Gang Zhou , Zhirong Liu , Jian Wu , Bing-Lin Gu , Jisoon Ihm , Wenhui Duan

We investigate the effect of different edge types on the statistical properties of both the energy spectrum of closed graphene billiards and the conductance of open graphene cavities in the semiclassical limit. To this end, we use the…

Mesoscale and Nanoscale Physics · Physics 2011-11-15 J. Wurm , K. Richter , I. Adagideli

Recent experiments indicate room-temperature ferromagnetism in graphite-like materials. This paper offers multiple spin state analysis applied to asymmetric graphene molecule to find out mechanism of ferromagnetic nature. First principle…

Mesoscale and Nanoscale Physics · Physics 2011-01-24 Norio Ota , Narjes Gorjizadeh , Yoshiyuki Kawazoe

We analyze the thermal fluctuations of a narrow graphene nanoribbon. Using a continuum, membrane-like model we study the height-height correlation functions and the destabilization modes corresponding to two different boundaries conditions:…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 P. Scuracchio , A. Dobry

We investigate the effect of edge defects (vacancies) and impurities (substitutional dopants) on the robustness of spin-polarization in graphene nanoribbons (GNRs) with zigzag edges, using density-functional-theory calculations. We found…

Materials Science · Physics 2009-11-13 Bing Huang , Feng Liu , Jian Wu , Bing-Lin Gu , Wenhui Duan

Ab initio density functional theory has been used to analyze flexural modes, elastic constants, and atomic corrugations on single and bi-layer graphene. Frequencies of flexural modes are sensitive to compressive stress; its variation under…

Materials Science · Physics 2013-01-22 P. L. de Andres , F. Guinea , M. I. Katsnelson

Surface/edge energy is typically modeled as a continuous function of orientation, $\gamma({\bf n})$. We put forward a simple geometric argument that suggests this picture is inadequate for crystals with a non-Bravais lattice structure. In…

Materials Science · Physics 2018-01-15 Tim Krumwiede , Tim Schulze

We study the chaotic dynamics of graphene structures, considering both a periodic, defect free, graphene sheet and graphene nanoribbons (GNRs) of various widths. By numerically calculating the maximum Lyapunov exponent, we quantify the…