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Friedel oscillation is a well-known wave phenomenon, which represents the oscillatory response of electron waves to imperfection. By utilizing the pseudospin-momentum locking in gapless graphene, two recent experiments demonstrate the…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Shu-Hui Zhang , Jin Yang , Ding-Fu Shao , Zhenhua Wu , Wen Yang

The electronic structure of bilayer graphene is investigated from a resonant Raman study using different laser excitation energies. The values of the parameters of the Slonczewski-Weiss-McClure model for graphite are measured experimentally…

Materials Science · Physics 2009-11-13 L. M. Malard , J. Nilsson , D. C. Elias , J. C. Brant , F. Plentz , E. S. Alves , A. H. Castro Neto , M. A. Pimenta

In this article we study the ferromagnetic behavior of ABC-stacked trilayer graphene. This is done using a nearest-neighbor tight-binding model, in the presence of long-range Coulomb interactions. For a given electron-electron interaction g…

Mesoscale and Nanoscale Physics · Physics 2013-03-20 Richard Olsen , Ralph van Gelderen , C. Morais Smith

Graphene bilayer systems are known to exhibit a band gap when the layer symmetry is broken, by applying a perpendicular electric field. The resulting band structure resembles that of a conventional semiconductor with a parabolic dispersion.…

Mesoscale and Nanoscale Physics · Physics 2015-07-03 Søren Schou Gregersen , Jesper Goor Pedersen , Stephen R. Power , Antti-Pekka Jauho

Two new Raman modes below 100 cm^-1 are observed in twisted bilayer graphene grown by chemical vapor deposition. The two modes are observed in a small range of twisting angle at which the intensity of the G Raman peak is strongly enhanced,…

Mesoscale and Nanoscale Physics · Physics 2013-08-16 Rui He , Ting-Fung Chung , Conor Delaney , Courtney Keiser , Luis A. Jauregui , Paul M. Shand , C. C. Chancey , Yanan Wang , Jiming Bao , Yong P. Chen

Over the years, great efforts have been devoted in introducing a sizable and tunable band gap in graphene for its potential application in next-generation electronic devices. The primary challenge in modulating this gap has been the absence…

A quantum graph model for a single sheet of graphene is extended to bilayer and trilayer Bernal-stacked graphene; the spectra are characterized and the dispersion relations explicitly obtained; Dirac cones are then proven to be present only…

Mathematical Physics · Physics 2020-11-18 Cesar R. de Oliveira , Vinicius L. Rocha

The discovery of electric field induced bandgap opening in bilayer graphene opens new door for making semiconducting graphene without aggressive size scaling or using expensive substrates. However, bilayer graphene samples have been limited…

Materials Science · Physics 2010-11-19 Seunghyun Lee , Kyunghoon Lee , Zhaohui Zhong

The inhomogenous real-space electronic structure of gapless and gapped disordered bilayer graphene is calculated in the presence of quenched charge impurities. For gapped bilayer graphene we find that for current experimental conditions the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 E. Rossi , S. Das Sarma

The role of twist angle ($\theta_t$) in tailoring the physical properties of heterostructures is emerging as a new paradigm in two-dimensional materials. The influence of flat electronic bands near the magic angle ($\sim$1.1$^{\circ}$) on…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Darshit Solanki , Kenji Watanabe , Takashi Taniguchi , A. K. Sood , Anindya Das

We extensively investigate the electronic and transport properties of a twisted bilayer graphene when subjected to both an external perpendicular electric field and a magnetic field. Using a basic tight-binding model, we show the flat…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Priyanka Sinha , Ayan Mondal , Simão Meneses João , Bheema Lingam Chittari

We investigate the interband and intraband transition of the monolayer and AB-stacked bilayer silicene in low-energy tight-binding model under the electric field, where we focus on the dynamical polarization function, screening due to the…

Strongly Correlated Electrons · Physics 2018-12-05 Chen-Huan Wu

We theoretically investigated phonon dispersion in AA-stacked, AB-stacked and twisted bilayer graphene with various rotation angles. The calculations were performed using the Born-von-Karman model for the intra-layer atomic interactions and…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Alexandr I. Cocemasov , Denis L. Nika , Alexander A. Balandin

We calculate the static polarizability of multilayer graphene and study the effect of stacking arrangement, carrier density, and onsite energy difference on graphene screening properties. At low densities, the energy spectrum of multilayer…

Materials Science · Physics 2012-08-14 Hongki Min , E. H. Hwang , S. Das Sarma

Twisted graphene bilayers show a complex electronic structure, further modified by interaction effects. The main features can be obtained from effective models, which make use a few phenomenological parameters. We analyze the influence of…

Strongly Correlated Electrons · Physics 2019-03-04 Niels R. Walet , Francisco Guinea

Graphene, a two-dimensional material with a high mobility and a tunable conductivity, is uniquely suited for plasmonics. The frequency dispersion of plasmons in bulk graphene has been studied both theoretically and experimentally, whereas…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Jared H. Strait , Parinita S. Nene , Wei-Min Chan , Christina Manolatou , Joshua W. Kevek , Sandip Tiwari , Paul L. McEuen , Farhan Rana

Controlling the bandstructure of Dirac materials is of wide interest in current research but has remained an outstanding challenge for systems such as monolayer graphene. In contrast, Bernal bilayer graphene (BLG) offers a highly flexible…

We study analytically the plasmonic modes in the graphene-coated dielectric nanowire, based on the explicit form of nonlinear surface conductivity of graphene. The propagation constants of different plasmonic modes can be tuned by the input…

Optics · Physics 2016-10-26 Rujiang Li , Xiao Lin , Hongsheng Chen , Shisheng Lin , Xianmin Zhang , Erping Li

A tight binding model is used to calculate the band structure of bilayer graphene in the presence of a potential difference between the layers that opens a gap $\Delta$ between the conduction and valence bands. In particular, a self…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Edward McCann

We present a theoretical study of electron wave functions in ballistic circular n-p junctions of bilayer graphene. Similarly to the case of a circular n-p junction of monolayer graphene, we find that (i) the wave functions form caustics…

Mesoscale and Nanoscale Physics · Physics 2009-10-13 Cs. Peterfalvi , A. Palyi , J. Cserti