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We study interacting Dirac quasiparticles in disordered graphene and find that an interplay between the unscreened Coulomb interactions and pseudo-relativistic quasiparticle kinematics can be best revealed in the ballistic regime, whereas…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. V. Khveshchenko

We study theoretically the physical properties of a magnetic impurity in graphene. Within the Anderson model for a very strong Coulomb interaction on the impurity, we start from the Slave-Boson method and introduce a topological picture…

Strongly Correlated Electrons · Physics 2015-05-27 Zhen-Gang Zhu , Jamal Berakdar

Localized magnetic moments have been predicted to develop in graphene samples with vacancies or adsorbates. The interplay between such magnetic impurities and graphene's Dirac quasiparticles leads to remarkable many-body phenomena, which…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 David A. Ruiz-Tijerina , Luis G. G. V. Dias da Silva

We develop a theory for quantum phases and quantum multicriticality in bilayer graphene in the presence of an explicit energy gap in the non-interacting spectrum by extending previous renormalization group (RG) analyses of electron-electron…

Strongly Correlated Electrons · Physics 2014-11-18 Robert E. Throckmorton , S. Das Sarma

Atomic vacancies have a strong impact in the mechanical, electronic and magnetic properties of graphene-like materials. By artificially generating isolated vacancies on a graphite surface and measuring their local density of states on the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. M. Ugeda , I. Brihuega , F. Guinea , J. M. Gomez-Rodriguez

The electronic energy spectrum of graphene electron subjected to a homogeneous magnetic field in the presence of a charged Coulomb impurity is studied analytically within two-dimensional Dirac-Weyl picture by using variational approach. The…

Mesoscale and Nanoscale Physics · Physics 2010-05-21 B. S. Kandemir , A. Mogulkoc

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

We address the puzzling weak-coupling perturbative behavior of graphene interaction effects as manifested experimentally, in spite of the effective fine structure constant being large, by calculating the effect of Coulomb interactions on…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 Johannes Hofmann , Edwin Barnes , S. Das Sarma

We give a brief summary of the current status of the electron many-body problem in graphene. We claim that graphene has intrinsic dielectric properties which should dress the interactions among the quasiparticles, and may explain why the…

Strongly Correlated Electrons · Physics 2012-06-07 Bruno Uchoa , James P. Reed , Yu Gan , Young Il Joe , Diego Casa , Eduardo Fradkin , Peter Abbamonte

In this work, we focus on the fermionic structure of the low-energy excitations of graphene (a monolayer of carbon atoms) to propose a new supersymmetric field-theoretic model for this physical system. In the current literature, other…

We review the problem of electron-electron interactions in graphene. Starting from the screening of long range interactions in these systems, we discuss the existence of an emerging Dirac liquid of Lorentz invariant quasi-particles in the…

Strongly Correlated Electrons · Physics 2012-07-24 Valeri N. Kotov , Bruno Uchoa , Vitor M. Pereira , F. Guinea , A. H. Castro Neto

We investigate theoretically the cavity quantum electrodynamics of the cyclotron transition for Dirac fermions in graphene. We show that the ultrastrong coupling regime characterized by a vacuum Rabi frequency comparable or even larger than…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 David Hagenmüller , Cristiano Ciuti

In spite of unscreened Coulomb interactions close to charge neutrality, relativistic massless electrons in graphene allegedly behave as noninteracting particles. A clue to this paradox is that both interaction and kinetic energies scale…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 K. A. Guerrero-Becerra , Massimo Rontani

We report on absolute magneto-transmission experiments on highly-doped quasi-free-standing epitaxial graphene targeting the classical-to-quantum crossover of the cyclotron resonance. This study allows us to directly extract the carrier…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 M. Orlita , I. Crassee , C. Faugeras , A. B. Kuzmenko , F. Fromm , M. Ostler , Th. Seyller , G. Martinez , M. Polini , M. Potemski

We study the many-body theory of graphene Dirac quasiparticles interacting via the long-range Coulomb potential, taking as a starting point the ladder approximation to different vertex functions. We test in this way the low-energy behavior…

Strongly Correlated Electrons · Physics 2015-06-04 J. Gonzalez

A number of physical processes occurring in a flat one-dimensional graphene structure under the action of strong time-dependent electric fields are considered. It is assumed that the Dirac model can be applied to the graphene as a subsystem…

High Energy Physics - Theory · Physics 2020-11-04 Sergey Gavrilov , Dmitry Gitman , Vadim Dmitriev , Anatolii Panferov , Stanislav Smolyansky

We study the Quantum Electrodynamics of 2D and 3D Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms of the relative strength of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 J. Gonzalez

We study the vacuum polarization of planar charged Dirac fermions by a strong Coulomb potential. Induced vacuum charge density is calculated and analyzed at the subcritical and supercritical Coulomb potentials for massless and massive…

Quantum Physics · Physics 2016-01-29 V. R. Khalilov , I. V. Mamsurov

Atomic collapse can be observed in graphene because of its large "effective" fine structure constant, which enables this phenomenon to occur for an impurity charge as low as $Z_c\sim 1-2$. Here, we investigate the effect of the sublattice…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Jing Wang , Miša Anđelković , Gaofeng Wang , Francois M. Peeters

Flat band moir\'e graphene systems have emerged as a quintessential platform to investigate correlated phases of matter. A plethora of interaction-driven ground states have been proposed, and yet despite extensive experimental effort, there…