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Related papers: Excitonic mass gap in uniaxially strained graphene

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We report measurements of the cyclotron mass in graphene for carrier concentrations n varying over three orders of magnitude. In contrast to the single-particle picture, the real spectrum of graphene is profoundly nonlinear so that the…

In the present paper, we describe the antiferromagnetic and excitonic correlations in the AA-stacked bilayer graphene. We consider the applied external electric field potential to the structure which leads to the electronic charge imbalance…

Strongly Correlated Electrons · Physics 2021-12-16 V. Apinyan , T. K. Kopec

Dirac carriers in graphene are commonly characterized by a pseudospin degree of freedom, arising from the degeneracy of the two inequivalent sublattices. The inherent chirality of the quasiparticles leads to a topologically non-trivial band…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Marta Prada

We investigate the dynamical breakdown of the chiral symmetry in the theory of Dirac fermions in graphene with long-range Coulomb interaction. We analyze the electron-hole vertex relevant for the dynamical gap generation in the ladder…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 J. Gonzalez

We study effects of a repulsive Coulomb interaction on the spectral gap in monolayer and bilayer graphene in the vicinity of the charge neutrality point by employing the functional renormalization-group technique. In both cases Coulomb…

Strongly Correlated Electrons · Physics 2011-04-01 Andreas Sinner , Klaus Ziegler

We investigate the relativistic quantum dynamics of amassless electron in graphene in a two-dimensional noncommutative (NC) plane under a constant background magnetic field. To address the issue of gauge invariance, we employ an effective…

High Energy Physics - Theory · Physics 2025-09-30 Aslam Halder

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 develop a composite Dirac fermion theory for the fractional quantum Hall effects (QHE) near charge neutrality in graphene. We show that the interactions between the composite Dirac fermions lead to dynamical mass generation through…

Strongly Correlated Electrons · Physics 2015-06-03 Feng Cai , Yue Yu , Ziqiang Wang

We consider magnetic catalysis in a field-theoretic system of (3+1)-dimensional Dirac fermions with anisotropic kinetic term. By placing the system in a strong external magnetic field, we examine magnetically-induced fermion mass…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Alexandre , K. Farakos , G. Koutsoumbas , N. E. Mavromatos

The present article discusses magnetic confinement of the Dirac excitations in graphene in presence of inhomogeneous magnetic fields. In the first case a magnetic field directed along the z axis whose magnitude is proportional to $1/r$ is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Pratim Roy , Tarun Kanti Ghosh , Kaushik Bhattacharya

We study the problem of Coulomb field-induced charging of the ground state in a system of 2D massive Dirac particles (gapped graphene). As in its 3D QED counterpart, the critical Coulomb coupling is renormalized to higher values, compared…

Mesoscale and Nanoscale Physics · Physics 2008-08-05 Vitor M. Pereira , Valeri N. Kotov , A. H. Castro Neto

Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of sublattice and spin degeneracies in graphene…

Mesoscale and Nanoscale Physics · Physics 2008-06-13 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

We implement a self-consistent Hartree-Fock approximation based on a microscopic model in real space, which allows us to consider the interplay between the Hubbard and the extended Coulomb interaction in twisted bilayer graphene at the…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 J. Gonzalez , T. Stauber

On the basis of first-principles calculations, we report that a novel interfacial atomic structure occurs between graphene and the surface of silicon carbide, destroying the Dirac point of graphene and opening a substantial energy gap…

Materials Science · Physics 2008-04-30 Seungchul Kim , Jisoon Ihm , Hyoung Joon Choi , Young-Woo Son

A deformation of a graphene sheet changes more than the positions of the atoms. In the low-energy Dirac theory it also produces geometric electron-phonon vertices. One of these vertices acts as an emergent phonon gauge field, $\calA_\mu$,…

Strongly Correlated Electrons · Physics 2026-05-19 Ara Sedrakyan

The strong long-range Coulomb interaction between massless Dirac fermions in graphene can drive a semimetal-insulator transition. We show that this transition is strongly suppressed when the Coulomb interaction is screened by such effects…

Strongly Correlated Electrons · Physics 2015-05-13 Guo-Zhu Liu , Wei Li , Geng Cheng

Gap opening in graphene is usually discussed in terms of a semiconducting-like spectrum, where the appearance of a finite gap at the Dirac point is accompanied by a finite mass for the fermions. In this Letter we propose a gap scenario from…

Mesoscale and Nanoscale Physics · Physics 2008-10-03 L. Benfatto , E. Cappelluti

Twisted double bilayer graphene is a compensated semi-metal near the charge neutrality point with the presence of small electron and hole pockets in its band structure. We show that strong Coulomb attraction between the electrons and holes…

Strongly Correlated Electrons · Physics 2023-07-26 Unmesh Ghorai , Ayan Ghosh , Anindya Das , Rajdeep Sensarma

Using the Lewis-Riesenfeld method of invariants we construct explicit analytical solutions for the massless Dirac equation in 2+1 dimensions describing quasi-particles in graphene. The Hamiltonian of the system considered contains some…

Quantum Physics · Physics 2015-09-16 Boubakeur Khantoul , Andreas Fring

We study electronic properties of graphene with finite concentration of vacancies or other resonant scatterers by a straightforward lattice Quantum Monte Carlo calculations. Taking into account realistic long-range Coulomb interaction we…

Strongly Correlated Electrons · Physics 2015-06-24 M. V. Ulybyshev , M. I. Katsnelson
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