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Low-energy single-electron dynamics in graphene monolayers and similar nanostructures is described by the Dirac model, being a 2+1 dimensional version of massless QED with the speed of light replaced by the Fermi velocity v_{F}=c/300.…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 S. P. Gavrilov , D. M. Gitman

Solid-state materials have recently emerged as a new stage of strong-field physics and attosecond science. The mechanism of the electron dynamics driven by an ultrashort intense laser pulse is under intensive discussion. Here we…

Materials Science · Physics 2020-04-23 Kenichi L. Ishikawa , Yasushi Shinohara , Takeshi Sato , Tomohito Otobe

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim Apalkov , Xue-Feng Wang , Tapash Chakraborty

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

The electronic properties of graphene under any arbitrary uniaxial strain field are obtained by an exact mapping of the corresponding tight-binding Hamiltonian into an effective one-dimensional modulated chain. For a periodic modulation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Gerardo G. Naumis , Pedro Roman-Taboada

Electrostatic confinement of charge carriers in graphene is governed by Klein tunneling, a relativistic quantum process in which particle-hole transmutation leads to unusual anisotropic transmission at pn junction boundaries. Reflection and…

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

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

Chemical, mechanical, thermal and/or electronic properties of bulk or low-dimensional materials can be engineered by introducing structural defects to form novel functionalities. When using particles irradiation, these defects can be…

Materials Science · Physics 2022-02-07 L. Basta , A. Moscardini , S. Veronesi , F. Bianco

The two-dimensional carbon allotrope graphene has recently attracted a lot of attention from researchers in the disciplines of Lattice Field Theory, Lattice QCD and Monte Carlo calculations. This interest has been prompted by several…

High Energy Physics - Lattice · Physics 2011-11-04 Timo A. Lähde , Joaquín E. Drut

Graphene is a powerful playground for studying a plethora of quantum phenomena. One of the remarkable properties of graphene arises when it is strained in particular geometries and the electrons behave as if they were under the influence of…

Photon-assisted electron transport in ballistic graphene is analyzed using scattering theory. We show that the presence of an ac signal (applied to a gate electrode in a region of the system) has interesting consequences on electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Trauzettel , Ya. M. Blanter , A. F. Morpurgo

The paper reports a theoretical study of scattering of electrons by edges in graphene and its effect on Raman scattering. First, effective models are discussed for translationally invariant and rough edges. Second, they are used in a…

Materials Science · Physics 2009-05-28 D. M. Basko

Density functional theory with local density approximation for exchange and correlation functional is used to tune the electronic band structure of silicene monolayer. The cohesive energy of free standing monolayer is increasing…

Materials Science · Physics 2015-06-17 Gul Rahman

Modifying the hexagonal lattices of graphene enables the repositioning and merging of the Dirac cones which proves to be a key element in the use of these materials for alternative electronic applications such as valleytronics. Here we…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Saber Rostamzadeh , Mustafa Sarisaman

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Dima Bolmatov , D. V. Zavialov

Ab initio density functional theory (DFT) simulations were used to investigate an influence of electric field, parallel to single and multilayer graphene on its electron dispersion relations close to K point. It was shown that for both…

Materials Science · Physics 2016-11-09 Stanisław Krukowski , Jakub Sołtys , Jolanta Borysiuk , Jacek Piechota

In addition to the known pseudomagnetic field, nonuniform strains independently induce a position-dependent Fermi velocity (PDFV) in graphene. Here we demonstrate that, due to the presence of a PDFV, the Dirac fermions on a nonuniform…

Mesoscale and Nanoscale Physics · Physics 2020-08-07 M. Oliva-Leyva , J. E. Barrios-Vargas , G. Gonzalez de la Cruz

Motivated by recent proposals on strain-engineering of graphene electronic circuits we calculate conductivity, shot-noise and the density of states in periodically deformed graphene. We provide the solution to the Dirac-Kronig-Penney model,…

Mesoscale and Nanoscale Physics · Physics 2010-10-13 S. Gattenloehner , W. Belzig , M. Titov

We study the problem of Dirac fermion confinement in graphene in the presence of a perpendicular magnetic field B. We show, analytically and numerically, that confinement leads to anomalies in the electronic spectrum and to a magnetic field…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea