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When smooth, zero-on-average, periodic magnetic and electric fields are applied to a carbon mono-layer (graphene), a gap between the valence and conduction band is introduced. Here this gapped state is studied analytically. It is found that…

Mesoscale and Nanoscale Physics · Physics 2013-02-25 I. Snyman

The electronic properties of graphene decorated with Ni, Co, Cu and Zn adatoms is studied with the density functional theory approach. Within the analysis the spin-orbit interaction is taken into account. We focus on the case when the…

Applied Physics · Physics 2019-03-01 Malgorzata Wawrzyniak-Adamczewska

We present a theoretical study of the optical conductivity of graphene with magnetic and nonmagnetic adatoms. First, by introducing alternating potential in a pure graphene, we demonstrate a gap formation in the density of states and the…

Strongly Correlated Electrons · Physics 2015-01-13 Muhammad Aziz Majidi , Syahril Siregar , Andrivo Rusydi

Double layer graphene is a gapless semiconductor which develops a finite gap when the layers are placed at different electrostatic potentials. We study, within the tight-biding approximation, the electronic properties of the gaped graphene…

Mesoscale and Nanoscale Physics · Physics 2007-11-26 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

Graphene -a recently discovered one-atom-thick layer of graphite- constitutes a new model system in condensed matter physics, because it is the first material in which charge carriers behave as massless chiral relativistic particles. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hubert B. Heersche , Pablo Jarillo-Herrero , Jeroen B. Oostinga , Lieven M. K. Vandersypen , Alberto F. Morpurgo

Graphene is a zero-gap semiconductor, where the electrons propagating inside are described by the ultra-relativistic Dirac equation normally reserved for very high energy massless particles. In this work, we show that graphene under a…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 J. Gbètoho , F. A. Dossa , G. Y. H. Avossevou

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-like low-energy excitations. When Zeeman and spin-orbit interactions are neglected its Landau levels are four-fold degenerate, explaining the $4 e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , A. H. MacDonald

In molecular electronic conduction, exotic lattice morphologies often give rise to exotic behaviors. Among 2D systems, graphene is a notable example. Recently, a stable amorphous version of graphene called Monolayer Amorphous Carbon (MAC)…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Nicolas Gastellu , Michael Kilgour , Lena Simine

The electrical conductivity of graphene with a nonzero mass-gap parameter is investigated starting from the first principles of quantum electrodynamics in (2+1)-dimensional space-time at any temperature. The formalism of the polarization…

Mesoscale and Nanoscale Physics · Physics 2016-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

The relativistic Foldy-Wouthuysen transformation is used for an advanced description of planar graphene electrons in external fields and free (2+1)-space. It is shown that the initial Dirac equation should by based on the usual $(4\times4)$…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Alexander J. Silenko

Lattice deformations in graphene couple to the low-energy electronic degrees of freedom as effective scalar and gauge fields. Using molecular dynamics simulations, we show that the optical component of the displacement field, i.e., the…

Mesoscale and Nanoscale Physics · Physics 2025-04-11 Christophe De Beule , Robin Smeyers , Wilson Nieto Luna , E. J. Mele , Lucian Covaci

Two-color lattice QCD with N_f=4 staggered fermion degrees of freedom (no rooting trick is applied) with equal electric charge q is studied in a homogeneous magnetic background field B and at non-zero temperature T. In order to circumvent…

High Energy Physics - Lattice · Physics 2014-04-02 E. -M. Ilgenfritz , M. Muller-Preussker , B. Petersson , A. Schreiber

Collective excitations in graphene monolayer are studied. Equations describing collective properties of electrons in graphene are obtained. The basic ideas of the method of many-particle quantum hydrodynamics are used for the derivation. As…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Pavel A. Andreev

We construct the coherent states for charge carriers in a graphene layer immersed in crossed external electric and magnetic fields. For that purpose, we solve the Dirac-Weyl equation in a Landau-like gauge avoiding applying techniques of…

Quantum Physics · Physics 2020-09-21 Miguel Castillo-Celeita , Erik Díaz-Bautista , Maurice Oliva-Leyva

We study the electron/hole transport in puddle-disordered and rough graphene samples which are subject to in-plane magnetic fields. Previous treatments, mostly devoted to regimes where the electron/hole scattering wavelengths are larger…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 R. R. Brandão , L. Moriconi

Graphene is a 2D material with appealing electronic and optoelectronic properties. It is a zero-bandgap material with valence and conduction bands meeting in a single point (Dirac point) in the momentum space. Its conductivity can be…

Applied Physics · Physics 2020-03-10 V. Sorianello , G. Contestabile , M. Romagnoli

It has been a long-standing goal to create magnetism in a nonmagnetic material by manipulating its structure at the nanometer scale. This idea may be realized in graphitic carbon: evidence suggests magnetic states at the edges of graphene…

Materials Science · Physics 2010-09-01 Steven C. Erwin , Franz J. Himpsel

Graphene, a two-dimensional crystal made of carbon atoms, provides a new and unexpected bridge between low and high-energy physics. The field has evolved very fast and very good reviews are already available in the literature. Graphene…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alberto Cortijo , Francisco Guinea , Maria A. H. Vozmediano

We examine the conditions necessary for the presence of localized magnetic moments on adatoms with inner shell electrons in graphene. We show that the low density of states at the Dirac point, and the anomalous broadening of the adatom…

Strongly Correlated Electrons · Physics 2008-07-13 Bruno Uchoa , Valeri N. Kotov , N. M. R. Peres , A. H. Castro Neto

When electrons populate a flat band their kinetic energy becomes negligible, forcing them to organize in exotic many-body states to minimize their Coulomb energy. The zeroth Landau level of graphene under magnetic field is a particularly…

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