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In an ideal graphene sheet charge carriers behave as two-dimensional (2D) Dirac fermions governed by the quantum mechanics of massless relativistic particles. This has been confirmed by the discovery of a half-integer quantum Hall effect in…

Materials Science · Physics 2015-05-13 Yuanbo Zhang , Victor W. Brar , Caglar Girit , Alex Zettl , Michael F. Crommie

Artifical superlattice (SL) potentials have been employed extensively for band structure engineering of two-dimensional (2D) Dirac electron gas in graphene. While such engineered electronic band structures can modify optical or plasmonic…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Minwoo Jung , Gennady Shvets

We review the energy spectrum and transport properties of several types of one- dimensional superlattices (SLs) on single-layer and bilayer graphene. In single-layer graphene, for certain SL parameters an electron beam incident on a SL is…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , P. Vasilopoulos , F. M. Peeters

The pi bands of epitaxially grown graphene are studied by using high resolution angle resolved photoemission spectroscopy. Clear deviations from the conical dispersion expected for massless Dirac fermions and an anomalous increase of the…

Materials Science · Physics 2008-07-30 S. Y. Zhou , D. A. Siegel , A. V. Fedorov , A. Lanzara

We investigated a multilayer graphene-dielectric composite material, comprising graphene sheets separated by subwavelength-thick dielectric spacer, and found it to exhibit hyperbolic isofrequency wavevector dispersion at far- and…

Mesoscale and Nanoscale Physics · Physics 2014-05-26 Mohamed A. K. Othman , Caner Guclu , Filippo Capolino

We investigate transport properties through a rectangular potential barrier in AB-stacked bilayer graphene (AB-BLG) gapped by dielectric layers. Using the Dirac-like Hamiltonian with a transfer matrix approach we obtain transmission and…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Nadia Benlakhouy , Abderrahim El Mouhafid , Ahmed Jellal

We investigate charge and energy transport in monolayer graphene with smooth finite-range disorder, modeled by soft impurity potentials. Using a continuum Dirac model, we go beyond the Born approximation by computing the exact scattering…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Juan A. Cañas , Daniel A. Bonilla , J. C. Pérez-Pedraza , A. Martín-Ruiz

In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither…

Disordered Systems and Neural Networks · Physics 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

Peculiar electronic properties of graphene, including the universal dc conductivity and the pseudodiffusive shot noise, are usually attributed to a small vicinity of the charge-neutrality point, away from which electron's effective mass…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Adam Rycerz

The study of waveguide propagating modes is essential for achieving directional electronic transport in two-dimensional materials. Simultaneously, exploring potential gaps in these systems is crucial for developing devices akin to those…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 V. G. Ibarra-Sierra , E. J. Robles-Raygoza , J. C. Sandoval-Santana , R. Carrillo-Bastos

An analysis of electron transport in graphene is presented in the presence of various arrangement of delta-function like magnetic barriers. The motion through one such barrier gives an unusual non specular refraction leading to asymmetric…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 Sankalpa Ghosh , Manish Sharma

Graphene, a honeycomb lattice of carbon atoms ruled by tight-binding interaction, exhibits extraordinary electronic properties due to the presence of Dirac cones within its band structure. These intriguing singularities have naturally…

Classical Physics · Physics 2018-09-28 S. Yves , F. Lemoult , M. Fink , G. Lerosey

The pseudospin of Dirac electrons in graphene manifests itself in a peculiar momentum anisotropy for photo-excited electron-hole pairs. These interband excitations are in fact forbidden along the direction of the light polarization, and are…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 S. Aeschlimann , R. Krause , M. Chávez-Cervantes , H. Bromberger , A. Al-Temimy , C. Coletti , A. Cavalleri , I. Gierz

Graphene research is currently one of the largest fields in condensed matter. Due to its unusual electronic spectrum with Dirac-like quasiparticles, and the fact that it is a unique example of a metallic membrane, graphene has properties…

Materials Science · Physics 2010-04-22 Antonio H. Castro Neto

We propose a mechanical granular graphene obtained by replacing the carbon atoms with macroscopic spherical stainless steel beads in contact. The experimental measured dispersion relation is presented, in conjunction with evidence of the…

Applied Physics · Physics 2019-06-05 Li-Yang Zheng , Florian Allein , Vincent Tournat , Vitalyi Gusev , Georgios Theocharis

Graphene two-dimensional nature combined with today lithography allows to achieve nanoelectronics devices smaller than the Dirac electrons wavelength. Here we show that in these graphene subwavelength nanodevices the electronic quantum…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Pierre Darancet , Valerio Olevano , Didier Mayou

We study the charge carriers transport in an AA-stacked bilayer graphene modulated by a lateral one-dimensional multibarrier structure. We investigate the band structures of our system, that is made up of two shifted Dirac cones, for finite…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Ilham Redouani , Ahmed Jellal

The extraordinary electronic properties of Dirac materials, the two-dimensional partners of Weyl semimetals, arise from the linear crossings in their band structure. When the dispersion around the Dirac points is tilted, the emergence of…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 M. Milićević , G. Montambaux , T. Ozawa , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , J. Bloch , A. Amo

We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos

We present here the transmission of electromagnetic waves through layered structures of metallic and left-handed media. Based on the theory of finite periodic systems, we show that besides the strong influence of the incidence angle, the…

Optics · Physics 2020-12-22 Pedro Pereyra