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The electronic structure of bilayer graphene under pressure develops very interesting features with an enhancement of the trigonal warping and a splitting of the parabolic touching bands at the K point of the reciprocal space into four…

Materials Science · Physics 2016-07-06 F Munoz , H. P. Ojeda Collado , Gonzalo Usaj , Jorge O. Sofo , C. A. Balseiro

Graphene moir\'e superlattices display electronic flat bands. At integer fillings of these flat bands, energy gaps due to strong electron-electron interactions are generally observed. However, the presence of other correlation-driven phases…

We have investigated the Coulomb screening properties and collective excitations in a graphene bilayer. The static screening effect is anisotropic and is much stronger in the undoped graphene bilayer than in a monolayer graphene [1]. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Xue-Feng Wang , Tapash Chakraborty

The Dirac point and linear band structure in Graphene bestow it with remarkable electronic and optical properties, a subject of intense ongoing research. Explanations of high electronic mobility in graphene, often invoke the masslessness of…

Mesoscale and Nanoscale Physics · Physics 2019-03-21 Chaitanya K. Ullal , Jian Shi , Ravishankar Sundararaman

The low energy electronic spectra of rotationally faulted graphene bilayers are studied using a long wavelength theory applicable to general commensurate fault angles. Lattice commensuration requires low energy electronic coherence across a…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 E. J. Mele

Electron scattering problem in the monolayer graphene with short-range impurities is considered. The main novel element in the suggested model is the band asymmetry of the defect potential in the 2+1-dimensional Dirac equation. This…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Natalie E. Firsova

Saturable absorption is a non-perturbative nonlinear optical phenomenon that plays a pivotal role in the generation of ultrafast light pulses. Here we show that this effect emerges in graphene at unprecedentedly low light intensities, thus…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 A. Marini , J. D. Cox , F. J. Garcia de Abajo

Graphene bilayers with layer antisymmetric strains are studied using the Dirac-Harper model for a pair of single layer Dirac Hamiltonians coupled by a one-dimensional moir\'e-periodic interlayer tunneling amplitude. This model hosts low…

Mesoscale and Nanoscale Physics · Physics 2021-08-13 Abigail Timmel , E. J. Mele

Ultrafast optical pump-probe spectroscopy measurement on monolayer graphene observes significant optical nonlinearities. We show that strongly photoexcited graphene monolayers with 35 fs pulses quasi-instantaneously build up a broadband,…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Junhua Zhang , Joerg Schmalian , Tianqi Li , Jigang Wang

At photonic Dirac points, electromagnetic waves are governed by the same equations as two-component massless relativistic fermions. However, photonic Dirac points are known to occur in pairs in "photonic graphene" and other similar photonic…

We report on theoretical study of second harmonic generation in graphene. Phenomenological analysis based on symmetry arguments is carried out. It is demontrated, that in ideal graphene samples second harmonic generation is possible only if…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. M. Glazov

Pristine monolayer graphene exhibits very poor screening because the density of states vanishes at the Dirac point. As a result, charge relaxation is controlled by the effects of zero-point motion (rather than by the Coulomb interaction)…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Eugene B. Kolomeisky , Joseph P. Straley

The graphene family materials are two-dimensional staggered monolayers with a gapped energy band structure due to intrinsic spin-orbit coupling. The mass gaps in these materials can be manipulated on-demand via biasing with a static…

Mesoscale and Nanoscale Physics · Physics 2021-03-18 Rajesh K. Malla , Wilton J. M. Kort-Kamp

We use supersymmetry transformations to obtain new one parameter family of inhomogeneous magnetic fields $\mathbf{B} = \widetilde{\mathcal{B}}(x,\lambda) \hat{e}_z$ for which the massless Dirac electron possesses exact solution. The…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 Bikashkali Midya , David J Fernández

In particle physics model building, a discrete $\mathcal{Z}_2$ symmetry is often spontaneously broken for phenomenological reasons. When this breaking occurs dynamically in the early Universe, stable domain wall networks are formed, which…

High Energy Physics - Phenomenology · Physics 2026-02-10 Debasish Borah , Partha Kumar Paul , Narendra Sahu

We calculate the dynamic polarizability under the random phase approximation for the dice lattice. This two-dimensional system gives rise to massless Dirac fermions with pseudospin-1 in the low-energy quantum excitation spectrum, providing…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 John D. Malcolm , Elisabeth J. Nicol

We consider the Zitterbewegung of Dirac electrons in the monolayer graphene as the nonrelativistic analog of the phenomenon predicted by E. Schr\"odinger for the relativistic electrons in the free space. So we show that the Dirac electrons…

Mesoscale and Nanoscale Physics · Physics 2020-04-24 Natalie E. Firsova , Sergey A. Ktitorov

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

A double moir\'e superlattice can be realized by stacking three layers of atomically thin two-dimensional materials with designer interlayer twisting or lattice mismatches. In this novel structure, atomic reconstruction of constituent…

Emergent Dirac fermion states underlie many intriguing properties of graphene, and the search for them constitute one strong motivation to explore two-dimensional (2D) allotropes of other elements. Phosphorene, the ultrathin layers of black…

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