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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

The electronic properties of a material depend on the spatial freedom of the electron wavefunction. A well-known example is graphite, which is a conventional gapless semiconductor, while a single layer of it, graphene, exhibits extremely…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mohammadamir Bazrafshan , Thomas. D. Kühne

Among the many interesting features displayed by graphene, one of the most attractive is the simplicity with which its electronic structure can be described. The study of its physical properties is significantly simplified by the linear…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 S. R. Power , M. S. Ferreira

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…

We investigate the electronic structure of graphene monolayers subjected to patterned dielectric superlattices. Through a quantum capacitance model approach, we simulate realistic devices capable of imposing periodic potentials on graphene.…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Zhen Zhan , Yonggang Li , Pierre A. Pantaleon

Using the tight-binding model with long-range Coulomb interactions between electrons, we study some of the electronic properties of graphene. The Coulomb interactions are treated with the renormalized-ring-diagram approximation. By…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

Experiments are finally revealing intricate facts about graphene which go beyond the ideal picture of relativistic Dirac fermions in pristine two dimensional (2D) space, two years after its first isolation. While observations of rippling…

Other Condensed Matter · Physics 2009-11-13 Eun-Ah Kim , A. H. Castro Neto

We study the electronic structure of gated graphene sheets. We consider both infinite graphene and finite width ribbons. The effect of Coulomb interactions between the electrically injected carriers and the coupling to the external gate are…

Mesoscale and Nanoscale Physics · Physics 2007-08-29 J. Fernandez-Rossier , J. J. Palacios , L. Brey

Local curvature, or bending, of a graphene sheet is known to increase the chemical reactivity presenting an opportunity for templated chemical functionalization. Using first principles calculations based on density functional theory (DFT)…

Materials Science · Physics 2015-08-12 Jesper Toft Rasmussen , Tue Gunst , Peter Bøggild , Antti-Pekka Jauho , Mads Brandbyge

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

We use a simple tight-binding (TB) model to study electronic properties of free graphene flakes. Valence electrons of triangular graphene flakes show a shell and supershell structure which follows an analytical expression derived from the…

Atomic and Molecular Clusters · Physics 2009-11-13 M. Manninen , H. P. Heiskanen , J. Akola

Using full potential density functional theory calculations we have investigated the structural and electronic properties of graphene and some other graphene-like materials, viz., monolayer of SiC, GeC, BN, AlN, GaN, ZnO, ZnS and ZnSe. We…

Materials Science · Physics 2012-10-12 Gautam Mukhopadhyay , Harihar Behera

The electronic and transport properties of aluminum-graphene composite materials were investigated using ab initio plane wave density functional theory. The interfacial structure is reported for several configurations. In some cases, the…

Materials Science · Physics 2024-02-12 K. Nepal , C. Ugwumadu , K. N. Subedi , K. Kappagantula , D. A. Drabold

The layered graphene systems exhibit the rich and unique excitation spectra arising from the electron-electron Coulomb interactions. The generalized tight-binding model is developed to cover the planar/buckled/cylindrical structures,…

Computational Physics · Physics 2019-01-15 Chiun-Yan Lin , Jhao-Ying Wu , Chih-Wei Chiu , Ming-Fa Lin

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

Breaking the intrinsic chirality of quasiparticles in graphene enables the emergence of new and intriguing phases. One such paradigmatic example is the bond density wave, which leads to a Kekul\'{e}-ordered structure and underpins exotic…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Dominik Szczȩśniak

The electronic and optical properties of graphene monoxide, a new type of semiconductor materials, are first theoretically studied based on density functional theory. Electronic calculations show that the band gap is 0.952 eV which indicate…

Materials Science · Physics 2012-09-05 Gui Yang , Yufeng Zhang , Xunwang Yan

This paper reviews the theoretical work undertaken using density functional theory (DFT) to explore graphene's interactions with its surroundings. We look at the impact of substrates, gate dielectrics and edge effects on the properties of…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Priyamvada Jadaun , Bhagawan R. Sahu , Leonard F. Register , Sanjay K. Banerjee

In this article we develop an effective medium model to characterize the electron wave propagation in graphene based nanostructures with an electrostatic and magnetic vector potentials imposed on their surface. We use a numerical algorithm…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 David E. Fernandes

We argue, for a wide class of systems including graphene, that in the low temperature, high density, large separation and strong screening limits the drag resistivity behaves as d^{-4}, where d is the separation between the two layers. The…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 B Amorim , N M R Peres
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