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In this document we explore graphene, a two-dimensional material with remarkable properties. We center our discussion around its electronic characteristics and their applications. We begin by giving a simple electronic model which will then…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 Anthony Gerges Geha , Yago aguado , Modou B. Nadiaye

Quantum confinement endows two-dimensional (2D) layered materials with exceptional physics and novel properties compared to their bulk counterparts. Although certain two- and few-layer configurations of graphene have been realized and…

Graphyne (GY) and graphdiyne (GDY)-based materials represent an intriguing class of two-dimensional (2D) carbon-rich networks with tunable structures and properties surpassing those of graphene. However, the challenge of fabricating…

The recently realized bilayer graphene system with a twist angle of $30^\circ$ offers a new type of quasicrystal which unites the dodecagonal quasicrystalline nature and graphene's relativistic properties. Here, we introduce a concise…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Pilkyung Moon , Mikito Koshino , Young-Woo Son

Electronic and structural properties of a 3D carbon allotrope made of Hopf-linked graphenes, which we call a Hopfene - a type of topological crystal, are examined by semi-empirical molecular-orbital and density-functional-theoretical…

Materials Science · Physics 2019-12-30 Isao Tomita , Shinichi Saito

Graphene is the two-dimensional (2d) building block for carbon allotropes of every other dimensionality. It can be stacked into 3d graphite, rolled into 1d nanotubes, or wrapped into 0d fullerenes. Its recent discovery in free state has…

Graphene antidot lattices have recently been proposed as a new breed of graphene-based superlattice structures. We study electronic properties of triangular antidot lattices, with emphasis on the occurrence of dispersionless (flat) bands…

Mesoscale and Nanoscale Physics · Physics 2009-07-16 Mihajlo Vanevic , Vladimir M. Stojanovic , Markus Kindermann

While graphene is a semi-metal, a recently synthesized hydrogenated graphene called graphane, is an insulator. We have probed the transformation of graphene upon hydrogenation to graphane within the framework of density functional theory.…

Mesoscale and Nanoscale Physics · Physics 2012-10-05 Prachi Chandrachud , Bhalchandra S Pujari , Soumyajyoti Haldar , Biplab Sanyal , D G Kanhere

A novel nanoelectronic device is constructed by graphyne that is robustly connected between graphene electrodes, where graphyne is composed of hexagonal carbon rings and carbon chains. Owing to similarities between the bond lengths and unit…

Mesoscale and Nanoscale Physics · Physics 2013-07-17 Young I. Jhon , Myung S. Jhon

Edge states in 2D materials are vital for advancements in spintronics, quantum computing, and logic transistors. For graphene nanoribbons, it is well known that the zigzag edges can host edge states, but realization of armchair edge states…

Optics · Physics 2025-03-12 Qi Zhong , Yongsheng Liang , Shiqi Xia , Daohong Song , Zhigang Chen

Graphene ripples possess peculiar essential properties owing to the strong chemical bonds, as an investigation using first principle calculations clearly revealed. Various charge distributions, bond lengths, energy bands, and densities of…

Materials Science · Physics 2015-01-08 Shih-Yang Lin , Shen-Lin Chang , Feng-Lin Shyu , Jian-Ming Lu , Ming-Fa Lin

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

Materials Science · Physics 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

Hybrid two-dimensional (2D) materials have attracted increasing interest as platforms for tailoring electronic properties through interfacial design. Very recently, a novel hybrid 2D material termed glaphene, which combines monolayers of 2D…

While preserving many of the unusual features of single-layer graphene, few-layer graphene (FLG) provides a richness and flexibility of electronic structure that render this set of materials of great interest for both fundamental studies…

Mesoscale and Nanoscale Physics · Physics 2009-08-04 Kin Fai Mak , Matthew Y. Sfeir , James A. Misewich , Tony F. Heinz

Electronic and photonic devices based on the two-dimensional material graphene have unique properties, leading to outstanding performance figures-of-merit. Mastering the integration of this new and unconventional material into an…

Mesoscale and Nanoscale Physics · Physics 2019-12-10 Daniel Neumaier , Stephan Pindl , Max C. Lemme

We present a detailed numerical study of the electronic properties of single-layer graphene with resonant ("hydrogen") impurities and vacancies within a framework of noninteracting tight-binding model on a honeycomb lattice. The algorithms…

Mesoscale and Nanoscale Physics · Physics 2010-09-29 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

Graphene has exceptional optical, mechanical and electrical properties, making it an emerging material for novel optoelectronics, photonics and for flexible transparent electrode applications. However, the relatively high sheet resistance…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 Guang-Xin Ni , Yi Zheng , Sukang Bae , Chin Yaw Tan , Orhan Kahya , Jing Wu , Byung Hee Hong , Kui Yao , Barbaros Özyilmaz

Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We…

Mesoscale and Nanoscale Physics · Physics 2012-02-14 Allan H. MacDonald , Jeil Jung , Fan Zhang

We induced periodic biaxial tensile strain in polycrystalline graphene by wrapping it over a substrate with repeating pillar-like structures with a periodicity of 600 nm. Using Raman spectroscopy, we determined to have introduced biaxial…

Materials Science · Physics 2015-11-09 Marjan Aslani , C. Michael Garner , Suhas Kumar , Dennis Nordlund , Piero Pianetta , Yoshio Nishi

Laterally localized electronic states are identified on a single layer of graphene on ruthenium. The individual states are separated by 3 nm and comprise regions of about 90 carbon atoms. This constitutes a quantum dot array, evidenced by…

Materials Science · Physics 2010-07-08 H. G. Zhang , H. Hu , Y. Pan , J. H. Mao , M. Gao , H. M. Guo , S. X. Du , T. Greber , H. -J. Gao