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Graphene is a zero-gap semiconductor, where the electrons propagating inside are described by the ultra-relativistic Dirac equation normally reserved for very high energy massless particles. In this work, we show that graphene under a…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 J. Gbètoho , F. A. Dossa , G. Y. H. Avossevou

The ground state structural and electronic properties of germanene (the germanium analogue of graphene) are investigated using first-principles calculations. On structure optimization, the graphene-like honeycomb structure of germanene…

Mesoscale and Nanoscale Physics · Physics 2011-11-29 Harihar Behera , Gautam Mukhopadhyay

We show that graphene, in its simplest form and settings, is a practical table-top realization of the analog of exotic quantum gravity scenarios, which are speculated to lead to certain generalized Heisenberg algebras. In particular, we…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Alfredo Iorio , Boris Ivetić , Salvatore Mignemi , Pablo Pais

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

As the thinnest atomic membrane, graphene presents an opportunity to combine geometry, elasticity and electronics at the limits of their validity. The availability of reliable atomistic potentials for graphene allows unprecedented precise…

Mesoscale and Nanoscale Physics · Physics 2010-10-27 Vitor M. Pereira , A. H. Castro Neto , H. Y. Liang , L. Mahadevan

Graphene, a two-dimensional crystal made of carbon atoms, provides a new and unexpected bridge between low and high-energy physics. The field has evolved very fast and very good reviews are already available in the literature. Graphene…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alberto Cortijo , Francisco Guinea , Maria A. H. Vozmediano

Graphene was shown to have strongly nonlinear electrodynamic properties. In particular, being irradiated by an electromagnetic wave with the frequency $\omega$, it can efficiently generate higher frequency harmonics. Here we predict that in…

Mesoscale and Nanoscale Physics · Physics 2015-12-04 N. A. Savostianova , S. A. Mikhailov

Graphene, a two-dimensional monolayer of sp2-bonded carbon atoms in a honeycomb lattice, possesses exceptional electronic, mechanical, and quantum properties, making it highly attractive for energy storage, spintronics, and…

Materials Science · Physics 2025-12-30 Chien-Hsu Chen , Huan Niu , Hung-Kai Yu , Tsung Te Lin , Yao-Tung Hsu

We report the exact solution of spectral problem for a graphene sheet framed by two armchair- and two zigzag-shaped boundaries. The solution is found for the $\pi$ electron Hamiltonian and gives, in particular, a closed analytic expression…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Lyuba Malysheva , Alexander Onipko

We have used scanning tunneling microscopy and spectroscopy to resolve the spatial variation of the density of states of twisted graphene layers on top of a highly oriented pyrolytic graphite substrate. Owing to the twist a moire pattern…

Since the discovery of graphene -a single layer of carbon atoms arranged in a honeycomb lattice - it was clear that this truly is a unique material system with an unprecedented combination of physical properties. Graphene is the thinnest…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 S. Russo , M. F. Craciun , T. Khodkov , M. Koshino , M. Yamamoto , S. Tarucha

The adsorption of an alkali-metal submonolayer on graphene occupying every third hexagon of the honeycomb lattice in a commensurate $(\sqrt{3}\times\sqrt{3})R30^\circ$ arrangement induces an energy gap in the spectrum of graphene. To…

Materials Science · Physics 2009-01-27 M. Farjam , H. Rafii-Tabar

In this study, we have comprehensively investigated the scaling law for elastic properties of three-dimensional honeycomb-like graphenes (3D-graphenes) using hybrid neural network potential based molecular dynamics simulations and…

Materials Science · Physics 2025-09-10 Ming Li , Guo Lu , Haodong Yu , Menglei Li , Fawei Zheng

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

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…

Monolayer structures made up of purely one kind of atoms are fascinating. Many kinds of honeycomb systems including carbon, silicon, germanium, tin, phosphorus and arsenic have been shown to be stable. However, so far the structures are…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 C. Kamal , Aparna Chakrabarti , Motohiko Ezawa

Graphene is a promising material for the development of applications in nanoelectronic devices, but the lack of a band gap necessitates the search for ways to tune its electronic properties. In addition to doping, defects, and nanoribbons,…

A recently proposed step-by-step procedure, to merge the low-energy physics of the $\pi$-bonds electrons of graphene, and quantum field theory on curved spacetimes, is recalled. The last step there is the proposal of an experiment to test a…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Alfredo Iorio

Graphene and its heterostructures exhibit interesting electronic properties and are explored for quantum spin Hall effect(QSHE) and magnetism based device applications. In present work, we propose a heterostructure of graphene encapsulated…

Materials Science · Physics 2019-10-07 Mohammed Ghadiyali , Sajeev Chacko

The low energy spectrum of a particle in planar honeycomb lattices is conical, which leads to the unusual electronic properties of graphene. In this letter we calculate the quasienergy spectra of a charged particle in honeycomb lattices…

Other Condensed Matter · Physics 2015-05-13 Wei Zhang , Ping Zhang , Suqing Duan , Xian-Geng Zhao