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We study the presence of ferromagnetism in the phase diagram of the two-dimensional honeycomb lattice close to half-filling (graphene) as a function of the strength of the Coulomb interaction and doping. We show that exchange interactions…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

We investigate magnetic and charge correlations in graphene by using the formulation of extended dynamical mean-field theory (E-DMFT) for two-sublattice systems. First, we map the average non-local interaction onto the effective static…

Strongly Correlated Electrons · Physics 2022-01-03 A. A. Katanin

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

The proximity-induced couplings in graphene due to the vicinity of a ferromagnetic insulator are analyzed. We combine general symmetry principles and simple tight-binding descriptions to consider different orientations of the magnetization.…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Vo Tien Phong , Niels R. Walet , Francisco Guinea

We consider mutual effect of the electron-phonon and strong Coulomb interactions on each other by summing up leading logarithmic corrections via the renormalization group approach. We find that the Coulomb interaction enhances electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. M. Basko , I. L. Aleiner

A full, nonperturbative renormalization group analysis of interacting electrons in a graphite layer is performed, in order to investigate the deviations from Fermi liquid theory that have been observed in the experimental measures of a…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

Coulomb interaction between two closely spaced parallel layers of electron system can generate the frictional drag effect by interlayer Coulomb scattering. Employing graphene double layers separated by few layer hexagonal boron nitride…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Xiaomeng Liu , Lei Wang , Kin Chung Fong , Yuanda Gao , Patrick Maher , Kenji Watanabe , Takashi Taniguchi , James Hone , Cory Dean , Philip Kim

We study the effect of Coulomb interactions in transition metal oxides junctions. In this paper we analyze charge transfer at the interface of a three layer ferromagnetic-paramagnetic-ferromagnetic metallic oxide system. We choose a charge…

Strongly Correlated Electrons · Physics 2009-11-13 R. Allub , J. D. Fuhr , M. Avignon , B. Alascio

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

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

Starting from the graphene lattice tight-binding Hamiltonian with an on-site U and long-range Coulomb repulsion, we derive an interacting continuum Dirac theory governing the low-energy behavior of graphene in an applied magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jason Alicea , Matthew P. A. Fisher

Both insulating and conducting electronic behaviors have been experimentally seen in clean bilayer graphene samples at low temperature, and there is still no consensus on the nature of the interacting ground state at half-filling and in the…

Strongly Correlated Electrons · Physics 2019-09-11 Jia Ning Leaw , Ho-Kin Tang , Pinaki Sengupta , Fakher F. Assaad , Igor F. Herbut , Shaffique Adam

We reanalyze the condition for metallic ferromagnetism in the framework of the tight-binding approximation and investigate the consequences of the inter-site Coulomb interactions using the Hartree-Fock approximation. We first consider a…

Materials Science · Physics 2009-11-10 Cyrille Barreteau , Daniel Spanjaard , Marie-Catherine Desjonqueres , Andrzej Oles

Effects of the nearest neighbor Coulomb interaction on nanographene ribbons with zigzag edges are investigated using the extended Hubbard model within the unrestricted Hartree-Fock approximation. The nearest Coulomb interaction stabilizes a…

Strongly Correlated Electrons · Physics 2007-05-23 Atsushi Yamashiro , Yukihiro Shimoi , Kikuo Harigaya , Katsunori Wakabayashi

Due to the weak spin-orbit interaction and the peculiar relativistic dispersion in graphene, there are exciting proposals to build spin qubits in graphene nanoribbons with armchair boundaries. However, the mutual interactions between…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hsiu-Hau Lin , Toshiya Hikihara , Horng-Tay Jeng , Bor-Luen Huang , Chung-Yu Mou , Xiao Hu

We theoretically calculate the interaction-induced frictional Coulomb drag resistivity between two graphene monolayers as well as between two graphene bilayers, which are spatially separated by a distance "$d$". We show that the drag…

Mesoscale and Nanoscale Physics · Physics 2011-12-23 E. H. Hwang , Rajdeep Sensarma , S. Das Sarma

We present a theory of electron-mediated interaction between adatoms in graphene. In the case of resonant scattering, relevant for hydrogentated graphene, a long-range 1/r interaction is found. This interaction can be viewed as a fermionic…

Mesoscale and Nanoscale Physics · Physics 2009-07-02 Andrei Shytov , Dmitry Abanin , Leonid Levitov

It is believed that strong ferromagnetic orders in some solids are generated by subtle interplay between quantum many-body effects and spin-independent Coulomb interactions between electrons. Here we describe our rigorous and constructive…

Strongly Correlated Electrons · Physics 2009-11-10 Hal Tasaki

We consider a screened Coulomb interaction between electrons in graphene and determine their dynamic response functions, such as a longitudinal and a transverse electric conductivity and a polarization function and compare them to the…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 M. Agarwal , E. G. Mishchenko

We consider ferromagnetic instabilities of two-dimensional helical Dirac fermions hosted on the surface of three-dimensional topological insulators. We investigate ways to increase the role of interactions by means of modifying the bulk…

Strongly Correlated Electrons · Physics 2013-11-13 Matthias Sitte , Achim Rosch , Lars Fritz