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The role of electron-electron interactions on two-dimensional Dirac fermions remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that incorporate both the contact and long-range parts of the Coulomb…

Strongly Correlated Electrons · Physics 2018-08-14 Ho-Kin Tang , J. N. Leaw , J. N. B. Rodrigues , I. F. Herbut , P. Sengupta , F. F. Assaad , S. Adam

We investigate the problem of dynamical gap generation in suspended graphene by long-range Coulomb interactions at strong coupling with Dyson-Schwinger equations. Including renormalization effects on the Fermi velocity we obtain a critical…

Strongly Correlated Electrons · Physics 2013-02-12 C. Popovici , C. S. Fischer , L. von Smekal

The nematic phase transition in electronic liquids, driven by Coulomb interactions, represents a new class of strongly correlated electronic ground states. We studied suspended samples of bilayer graphene, annealed so that it achieves very…

We report on our studies of interacting electrons in bilayer graphene in a magnetic field. We demonstrate that the long range Coulomb interactions between electrons in this material are highly important. We show that in the unbiased bilayer…

Mesoscale and Nanoscale Physics · Physics 2008-10-02 D. S. L. Abergel , Tapash Chakraborty

Photoemission studies of graphene have resulted in a long-standing controversy concerning the strength of the experimental electron-phonon interaction in comparison with theoretical calculations. Using high-resolution angle-resolved…

Materials Science · Physics 2015-05-30 David A. Siegel , Choongyu Hwang , Alexi V. Fedorov , Alessandra Lanzara

We calculate theoretically the Coulomb drag resistivity for two graphene monolayers spatially separated by a distance "$d$". We show that the frictional drag induced by inter-layer electron-electron interaction goes asymptotically as…

Mesoscale and Nanoscale Physics · Physics 2012-01-04 E. H. Hwang , S. Das Sarma

We report a theoretical study of the many-body effects of electron-electron interaction on the ground-state and spectral properties of double-layer graphene. Using a projector-based renormalization method we show that if a finite voltage…

Strongly Correlated Electrons · Physics 2015-06-04 Van-Nham Phan , Holger Fehske

We study the quantum many-body ground states of electrons on the half-filled honeycomb lattice with short- and long-ranged density-density interactions as a model for graphene. To this end, we employ the recently developed truncated-unity…

Strongly Correlated Electrons · Physics 2017-12-06 David Sánchez de la Peña , Julian Lichtenstein , Carsten Honerkamp , Michael M. Scherer

We study the role of long-range electron-electron interactions in a system of two-dimensional anisotropic Dirac fermions, which naturally appear in uniaxially strained graphene, graphene in external potentials, some strongly anisotropic…

Strongly Correlated Electrons · Physics 2012-07-24 Anand Sharma , Valeri N. Kotov , Antonio H. Castro Neto

Electron spin relaxation in graphene on a substrate is investigated from the fully microscopic kinetic spin Bloch equation approach. All the relevant scatterings, such as the electron-impurity, electron--acoustic-phonon,…

Materials Science · Physics 2010-08-06 Y. Zhou , M. W. Wu

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

We use the Gutzwiller method to investigate the importance of the on-site Coulomb interaction in graphene. We apply it to Hubbard Hamiltonian to study the renormalization of the kinetic energy in graphene due to the on-site Coulomb…

Strongly Correlated Electrons · Physics 2007-12-19 Hari P. Dahal , Jean-Pierre Julien , A. V. Balatsky

We give an update of the situation concerning the effect of electron-electron interactions on the physics of a neutral graphene system at low energies. We revise old renormalization group results and the use of 1/N expansion to address…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Maria A. H. Vozmediano , Francisco Guinea

We consider the effect of the Coulomb interaction in strained graphene using tight-binding approximation together with the Hartree-Fock interactions. The many-body energy dispersion relation, anisotropic Fermi velocity renormalization and…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 H. Rostami , Reza Asgari

The influence of Coulomb interaction on transport properties of spinless electrons in small disordered two dimensional systems is studied within a tight binding model. Spatial correlations, inverse participation ratio, and multifractal…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Richard Berkovits , Jan W. Kantelhardt , Yshai Avishai , Shlomo Havlin , Armin Bunde

We theoretically investigate the possibility of excitonic condensation in a system of two graphene monolayers separated by an insulator, in which electrons and holes in the layers are induced by external gates. In contrast to the recent…

Strongly Correlated Electrons · Physics 2009-03-25 Maxim Yu. Kharitonov , Konstantin B. Efetov

We analyze charging effects in graphene quantum dots. Using a simple model, we show that, when the Fermi level is far from the neutrality point, charging effects lead to a shift in the electrostatic potential and the dot shows standard…

Mesoscale and Nanoscale Physics · Physics 2008-02-06 B. Wunsch , T. Stauber , F. Guinea

We study the influence of electron-electron interactions on the electronic properties of disordered materials. In particular, we consider the insulating side of a metal-insulator transition where screening breaks down and the…

Disordered Systems and Neural Networks · Physics 2009-10-30 Frank Epperlein , Michael Schreiber , Thomas Vojta

We report on our studies of interacting electrons in bilayer graphene in a magnetic field. We demonstrate that the long range Coulomb interactions between electrons in this material are highly important and account for the band asymmetry in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. S. L. Abergel , Tapash Chakraborty

Electron correlation in graphene is unique because of the interplay of the Dirac cone dispersion of $\pi$ electrons with long range Coulomb interaction. The random phase approximation predicts no metallic screening at long distance and low…

Materials Science · Physics 2017-10-23 Huihuo Zheng , Yu Gan , Peter Abbamonte , Lucas K. Wagner