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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

The quantum Hall effect in graphene is regarded to be involving half-integer topological numbers associated with the massless Dirac particle, this is usually not apparent due to the doubling of the Dirac cones. Here we theoretically…

Mesoscale and Nanoscale Physics · Physics 2012-04-30 H Watanabe , Y Hatsugai , H Aoki

We investigate nonequilibrium excitations and charge transport in charge-neutral graphene driven with DC electric field by using the nonequilibrium Green's function technique. Due to the vanishing Fermi surface, electrons are subject to…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Jiajun Li , Jong E. Han

We transform the two-dimensional Dirac-Weyl equation, which governs the charge carriers in graphene, into a non-linear first-order differential equation for scattering phase shift, using the so-called variable phase method. This allows us…

Mesoscale and Nanoscale Physics · Physics 2015-12-07 C. A. Downing , A. R. Pearce , R. J. Churchill , M. E. Portnoi

Low-energy electronic structure of (unbiased) bilayer graphene is made of two Fermi points with quadratic dispersions, if trigonal-warping and other high order contributions are ignored. We show that as a result of this qualitative…

Strongly Correlated Electrons · Physics 2010-01-04 Oskar Vafek , Kun Yang

The electronic bound states and resonances in the vicinity of the Dirac point energy due to the adsorption of calcium dimers on a suspended graphene monolayer are explored theoretically using density functional theory (DFT) and an improved…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Alireza Saffarzadeh , George Kirczenow

Due to Klein tunneling in graphene only quasi-bound states are realized in graphene quantum dots by electrostatic gating. Particles in the quasi-bound states are trapped inside the dot for a finite time and they keep bouncing back and forth…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Abdelhadi Belouad , Youness Zahidi , Ahmed Jellal , Hocine Bahlouli

Based on the recently developed picture of an electronic ideal relativistic fluid at the Dirac point, we present an analytical model for the conductivity in graphene that is able to describe the linear dependence on the carrier density and…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 M. Mendoza , H. J. Herrmann , S. Succi

We demonstrate that excited states in single-layer graphene quantum dots can be detected via direct transport experiments. Coulomb diamond measurements show distinct features of sequential tunneling through an excited state. Moreover, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Schnez , F. Molitor , C. Stampfer , J. Guettinger , I. Shorubalko , T. Ihn , K. Ensslin

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 dynamics of photo-generated electron-hole pairs in solids are dictated by many-body interactions such as electron-electron and electron-phonon scattering. Hence, understanding and controlling these scattering channels is crucial for…

Materials Science · Physics 2016-07-13 Isabella Gierz

Effects of disorder on the electronic transport properties of graphene are strongly affected by the Dirac nature of the charge carriers in graphene. This is particularly pronounced near the Dirac point, where relativistic charge carriers…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Atikur Rahman , Janice Wynn Guikema , Nina Markovic

We study quasiparticle dynamics in graphene exposed to a linearly-polarized electromagnetic wave of very large intensity. Low-energy transport in such system can be described by an effective time-independent Hamiltonian, characterized by…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 S. V. Syzranov , Ya. I. Rodionov , K. I. Kugel , F. Nori

We study the transport properties of Dirac fermions through gapped graphene through a magnetic barrier irradiated by a laser field oscillating in time. We use Floquet theory and the solution of Weber's differential equation to determine the…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Rachid El Aitouni , Miloud Mekkaoui , Ahmed Jellal , Michael Schreiber

This review aims at a theoretical discussion of Dirac points in two-dimensional systems. Whereas Dirac points and Dirac fermions are prominent low-energy electrons in graphene (two-dimensional graphite), research on Dirac fermions in…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 Mark O. Goerbig , Gilles Montambaux

The relativistic nature of charge carriers in graphene is expected to lead to an angle- dependent transmission through a potential barrier, where Klein tunneling involves annihilation of an electron and a hole at the edges of the barrier.…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Atikur Rahman , Janice Wynn Guikema , N. M. Hassan , Nina Markovic

We show that a generalized Dirac structure survives beyond the linear regime of the low-energy dispersion relations of graphene. A generalized uncertainty principle of the kind compatible with specific quantum gravity scenarios with a…

General Physics · Physics 2018-06-13 A. Iorio , P. Pais , I. A. Elmashad , A. F. Ali , Mir Faizal , L. I. Abou-Salem

Particle-hole continuum in Dirac sea of graphene has a unique window underneath,which in principle leaves a room for bound state formation in the triplet particle hole channel [Phys. Rev. Lett. {\bf 89}, 016402 (2002)]. In this work, we…

Strongly Correlated Electrons · Physics 2012-05-30 S. A. Jafari , G. Baskaran

Electron interactions in undoped bilayer graphene lead to instability of the gapless state, `which-layer' symmetry breaking, and energy gap opening at the Dirac point. In contrast to single layer graphene, the bilayer system exhibits…

Mesoscale and Nanoscale Physics · Physics 2010-04-16 Rahul Nandkishore , Leonid Levitov

The prototypical exciton model of two interacting Dirac particles in graphene was analyzed in [1] and it was found that in one of the electron-hole scattering channels the total kinetic energy vanishes, resulting in a singular behaviour. We…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Lachlan L. Marnham , Andrey V. Shytov