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It is a fundamental paradigm that the physical effects induced by electric fields are qualitatively different from those induced by magnetic fields. Here we show that electrons at a Dirac point in bilayer graphene experience an unusual type…

Mesoscale and Nanoscale Physics · Physics 2012-06-22 R. Winkler , U. Zuelicke

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov

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

To construct Lagrangian based on plate theory and tight-binding model, deflection-field coupling to Dirac fermions in graphene can be investigated. As have been known, deflection-induced strain may cause an effect on the motion of the…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Bumned Soodchomshom

The electrons in graphene for energies close to the Dirac point have been found to form strongly interacting fluid. Taking this fact into account we have extended previous work on the transport properties of graphene by taking into account…

High Energy Physics - Theory · Physics 2018-03-14 Marek Rogatko , Karol. I. Wysokinski

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

A so-called artificial graphene is an artificial material whose low-energy carriers are described by the massless Dirac equation. Applying a periodic potential with triangular symmetry to a two-dimensional electron gas is one way to make…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Pilkwang Kim , Cheol-Hwan Park

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

We study the interaction of electrons in graphene with the quantized electromagnetic field in the presence of an applied uniform electric field using the Dirac model of graphene. Electronic states are represented by exact solutions of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 N. Yokomizo

We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferromagnetism dynamics and those connected with the magnetic…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 E. V. Gorbar , V. P. Gusynin , V. A. Miransky

We propose the use of the Dirac-Born-Infeld action in the phenomenological description of graphene sheet dynamics and interactions. Both the electronic properties of the Dirac fermions and the overall dynamics can be incorporated into this…

Mesoscale and Nanoscale Physics · Physics 2011-07-11 James Babington

The low energy excitations of graphene can be described by a massless Dirac equation in two spacial dimensions. Curved graphene is proposed to be described by coupling the Dirac equation to the corresponding curved space. This covariant…

Strongly Correlated Electrons · Physics 2009-11-13 Maria A. H. Vozmediano , Fernando de Juan , Alberto Cortijo

The study of vacancies in graphene is a topic of growing interest. A single vacancy induces a localized stable charge of order unity interacting with other charges of the conductor through an unscreened Coulomb potential. It also breaks the…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Omrie Ovdat , Yaroslav Don , Eric Akkermans

We develop an Effective Medium Theory to study the electrical transport properties of disordered graphene. The theory includes non-linear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths…

Mesoscale and Nanoscale Physics · Physics 2009-06-20 Enrico Rossi , S. Adam , S. Das Sarma

The physics of graphene is acting as a bridge between quantum field theory and condensed matter physics due to the special quality of the graphene quasiparticles behaving as massless two dimensional Dirac fermions. Moreover, the particular…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. A. H. Vozmediano , M. I. Katsnelson , F. Guinea

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

A number of interesting properties of graphene and graphite are postulated to derive from the peculiar bandstructure of graphene. This bandstructure consists of conical electron and hole pockets that meet at a single point in momentum (k)…

Strongly Correlated Electrons · Physics 2007-05-23 Aaron Bostwick , Taisuke Ohta , Thomas Seyller , K. Horn , Eli Rotenberg

The effective theory for bilayer graphene (BLG), subject to parallel/in-plane magnetic fields, is derived. With a sizable magnetic field the trigonal warping becomes irrelevant, and one ends up with two Dirac points in the vicinity of each…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 Bitan Roy , Kun Yang

The density of electron-hole pairs produced in a graphene sample immersed in a homogeneous time-dependent electrical field is evaluated. Because low energy charge carriers in graphene are described by relativistic quantum mechanics, the…

Mesoscale and Nanoscale Physics · Physics 2017-04-24 F. Fillion-Gourdeau , P. Blain , D. Gagnon , C. Lefebvre , S. MacLean

Exact stationary solutions of the electron-photon Dirac equation are obtained to describe the strong interaction between massless Dirac fermions in graphene and circularly polarized photons. It follows from them that this interaction forms…

Mesoscale and Nanoscale Physics · Physics 2010-04-26 O. V. Kibis
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