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The study of the interaction potential between static charges within Monte-Carlo simulation of graphene is carried out. The numerical simulations are performed in the effective lattice field theory with noncompact $3 + 1$-dimensional…

Strongly Correlated Electrons · Physics 2014-05-09 V. V. Braguta , S. N. Valgushev , A. A. Nikolaev , M. I. Polikarpov , M. V. Ulybyshev

We investigate the electronic structure and lattice stability of pristine and functionalized (with either hydrogen or oxygen) $\alpha$-graphyne systems. We identify lattice instabilities due to soft-phonon modes, and describe two mechanisms…

Materials Science · Physics 2014-04-02 R. Longuinhos , E. A. Moujaes , S. S. Alexandre , R. W. Nunes

In the present work, we consider the excitonic effects in the twisted bilayer graphene (tBLG) within the rotated bilayer Hubbard model. Both, intralayer and interlayer Coulomb interactions have been considered and the half-filling condition…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 V. Apinyan , T. K. Kopeć

We study how the electron-hole pairing reveals itself in the response of a double layer graphene system to the vector and scalar potentials. Electron-hole pairing results in a rigid (London)relation between the current and the difference of…

Mesoscale and Nanoscale Physics · Physics 2015-04-02 K. V. Germash , D. V. Fil

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

In fermionic systems, superconductivity and superfluidity are enabled through the condensation of fermion pairs. The nature of this condensate can be tuned by varying the pairing strength, with weak coupling yielding a BCS-like condensate…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Xiaomeng Liu , J. I. A. Li , Kenji Watanabe , Takashi Taniguchi , James Hone , Bertrand I. Halperin , Philip Kim , Cory R. Dean

The electron-hole symmetry in graphene monolayer, which is analogous to the inherent symmetric structure between electrons and positrons of the Universe, plays a crucial role in the chirality and chiral tunnelling of massless Dirac…

Materials Science · Physics 2015-09-16 Ke-Ke Bai , Yi-Cong Wei , Jia-Bin Qiao , Si-Yu Li , Long-Jing Yin , Wei Yan , Jia-Cai Nie , Lin He

Excitons, the bosonic quasiparticle emerging from Coulomb interaction between electrons and holes, will undergo a Bose-Einstein condensation(BEC) and transition into a superfluid state with global phase coherence at low temperatures. An…

Graphitic nitrogen-doped graphene is an excellent platform to study scattering processes of massless Dirac fermions by charged impurities, in which high mobility can be preserved due to the absence of lattice defects through direct…

Mesoscale and Nanoscale Physics · Physics 2017-06-05 Jiayu Li , Li Lin , Dingran Rui , Qiucheng Li , Jincan Zhang , Ning Kang , Yanfeng Zhang , Hailin Peng , Zhongfan Liu , H. Q. Xu

When the Fermi level matches the Dirac point in graphene, the reduced charge screening can dramatically enhance electron-electron (e-e) scattering to produce a strongly interacting Dirac liquid. While the dominance of e-e scattering already…

We consider the pairing of electrons and holes due to their Coulomb attraction in two parallel, independently gated graphene layers, separated by a barrier. At weak coupling, there exist the BCS-like pair-condensed state. Despite the fact…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , A. A. Sokolik

Multi-point probability measures along with the dielectric function of Dirac Fermions in mono-layer graphene containing particle-particle and white-noise (out-plane) disorder interactions on an equal footing in the Thomas-Fermi-Dirac…

Statistical Mechanics · Physics 2018-02-06 M. N. Najafi

We consider a model of Dirac fermions coupled to flexural phonons to describe a graphene sheet fluctuating in dimension $2+d$. We derive the self-consistent screening equations for the quantum problem, exact in the limit of large $d$. We…

Mesoscale and Nanoscale Physics · Physics 2014-04-02 Francisco Guinea , Pierre Le Doussal , Kay Joerg Wiese

We have investigated a new feature of impurity cyclotron resonances common to various localized potentials of graphene. A localized potential can interact with a magnetic field in an unexpected way in graphene. It can lead to formation of…

Mesoscale and Nanoscale Physics · Physics 2014-07-25 S. C. Kim , S. -R. Eric Yang , A. H. MacDonald

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

This paper is devoted to development of perturbation theory for studying the properties of graphene sheet of finite size, at nonzero temperature and chemical potential. The perturbation theory is based on the tight-binding Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-12-16 N. Yu. Astrakhantsev , V. V. Braguta , M. I. Katsnelson

We have investigated the behavior of the resistance of graphene at the $n=0$ Landau Level in an intense magnetic field $H$. Employing a low-dissipation technique (with power $P<$3 fW), we find that, at low temperature $T$, the resistance at…

Mesoscale and Nanoscale Physics · Physics 2009-04-01 Joseph G. Checkelsky , Lu Li , N. P. Ong

The gap generation is studied in suspended clean graphene in the continuum model for quasiparticles with the Coulomb interaction. We solve the gap equation with the dynamical polarization function and show that, comparing to the case of the…

Strongly Correlated Electrons · Physics 2014-11-20 O. V. Gamayun , E. V. Gorbar , V. P. Gusynin

Multi-layer graphene on the carbon face of silicon carbide is an intriguing electronic system which typically consists of a stack of ten or more layers. Rotational stacking faults in this system dramatically reduce inter-layer coherence. In…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 Rosario E. V. Profumo , Marco Polini , Reza Asgari , Rosario Fazio , A. H. MacDonald

In the present work, we investigate how structural defects in graphene can change its transport properties. In particular, we show that breaking of the sublattice symmetry in a graphene monolayer overcomes the Klein effect, leading to…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 C. Popovici , O. Oliveira , W. de Paula , T. Frederico