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We study the electronic states of narrow graphene ribbons (``nanoribbons'') with zigzag and armchair edges. The finite width of these systems breaks the spectrum into an infinite set of bands, which we demonstrate can be quantitatively…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Brey , H. A. Fertig

Natural and artificial honeycomb lattices are of great interest because the band structure of these lattices, if properly constructed, contains a Dirac point. Such lattices occur naturally in the form of graphene and carbon nanotubes. They…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Maxwell Porter , L. E. Reichl

Graphene is a two-dimensional (2D) semimetal with high mobility in charge carriers due to the existence of Dirac points. Silicene is another promising material, with properties analog to graphene. Many silicon (Si) based electronic devices…

Materials Science · Physics 2021-09-07 K M Abeywickrama , P K D D P Pitigala , W W P De Silva

Motivated by the state of the art method for fabricating high density periodic nanoscale defects in graphene, the structural, mechanical and electronic properties of defect-patterned graphene nanomeshes including diverse morphologies of…

Mesoscale and Nanoscale Physics · Physics 2011-06-22 Hasan Sahin , Salim Ciraci

We previously show [JETP Letters, {\bf 114}, 763 (2021)] that a graphene sample placed on a ferromagnetic substrate demonstrates a cooperative magnetoelectronic instability. The instability induces a gap in the electronic spectrum and a…

Mesoscale and Nanoscale Physics · Physics 2022-04-29 D. N. Dresviankin , A. V. Rozhkov , A. O. Sboychakov

The reflectance of graphene is investigated in the framework of the Dirac model with account of its realistic properties, such as nonzero chemical potential and band gap, at any temperature. For this purpose, the exact reflection…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov

Graphene, the first truly two-dimensional (one atom thin) material, possesses strongly nonlinear electrodynamic and optical properties. At low (microwave, terahertz) frequencies this results from the unique electronic property of graphene -…

Mesoscale and Nanoscale Physics · Physics 2018-10-02 Sergey Mikhailov

The three dimensional (3D) Dirac semimetal, which has been predicted theoretically, is a new electronic state of matter. It can be viewed as 3D generalization of graphene, with a unique electronic structure in which conduction and valence…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 Sergey Borisenko , Quinn Gibson , Danil Evtushinsky , Volodymyr Zabolotnyy , Bernd Buechner , Robert J. Cava

Graphene was the first material predicted to be a time-reversal-invariant topological insulator; however, the insulating gap is immeasurably small owing to the weakness of spin-orbit interactions in graphene. A recent experiment [1]…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Pouyan Ghaemi , Sarang Gopalakrishnan , Taylor L. Hughes

The interaction between graphene and substrates provides a viable routes to enhance functionality of both materials. Depending on the nature of electronic interaction at the interface, the electron band structure of graphene is strongly…

This article reviews the main theoretical and experimental advances regarding the interaction between surface acoustic waves (SAWs) and electronic excitations in graphene. The coupling of the graphene electron gas to the SAW piezoelectric…

Mesoscale and Nanoscale Physics · Physics 2019-02-26 A. Hernández-Mínguez , Y. -T. Liou , P. V. Santos

Electronic properties of two-dimensional allotropes of carbon, such as graphene and its bilayer, multi-layer epitaxial graphene, few-layer Bernal-stacked graphene, as well as of three-dimensional bulk graphite are reviewed from the…

Mesoscale and Nanoscale Physics · Physics 2010-05-06 M. Orlita , M. Potemski

While crystalline two-dimensional materials have become an experimental reality during the past few years, an amorphous 2-D material has not been reported before. Here, using electron irradiation we create an sp2-hybridized one-atom-thick…

Materials Science · Physics 2011-03-22 J. Kotakoski , A. V. Krasheninnikov , U. Kaiser , J. C. Meyer

In the recent years many researches were performed about graphene. Graphene is always considered a half metal or a zero gap semiconductor. In the last year new experiments were done about graphene on boron nitride and they obtained an…

Mesoscale and Nanoscale Physics · Physics 2015-08-11 Salvatore Croce

Cold atoms in an optical lattice with brick-wall geometry have been used to mimic graphene, a two-dimensional material with characteristic Dirac excitations. Here we propose to bring such artificial graphene into the proximity of a second…

Experiments on hexagonal graphene-like structures using microwave measuring techniques are presented. The lowest transverse-electric resonance of coupled dielectric disks sandwiched between two metallic plates establishes a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 S. Barkhofen , M. Bellec , U. Kuhl , F. Mortessagne

Mechanical graphene, which is a spring-mass model with the honeycomb structure, is investigated. The vibration spectrum is dramatically changed by controlling only one parameter, spring tension at equilibrium. In the spectrum, there always…

Mesoscale and Nanoscale Physics · Physics 2015-12-21 Toshikaze Kariyado , Yasuhiro Hatsugai

We study the coupling between mechanical motion and Dirac electrons in a dynamical sheet of graphene. We show that this coupling can be understood in terms of an effective gauge field acting on the electrons, which has two contributions:…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Mircea Trif , Pramey Upadhyaya , Yaroslav Tserkovnyak

We study theoretically the electronic properties of the artificial quantum dot honeycomb lattice defined in a two-dimensional electron gas, focusing on the possibility of achieving a regime in which electronic correlations play a dominant…

Strongly Correlated Electrons · Physics 2023-07-26 Andrzej Biborski , Michał Zegrodnik , Paweł Wójcik , Michał P. Nowak

Tunnelling of electrons in graphene-based junctions is studied theoretically. Graphene is assumed to be deposited either directly on a ferromagnetic insulator or on a few atomic layers of boron nitride which separate graphene from a…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jędrzej Tepper , Józef Barnaś