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We demonstrate that in the presence of Coulomb interactions, electrons in graphene behave like a critical system, supporting power law correlations with interaction-dependent exponents. An asymptotic analysis shows that the origin of this…

Strongly Correlated Electrons · Physics 2010-05-04 Jianhui Wang , H. A. Fertig , Ganpathy Murthy

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

We study the charge-density dynamics within the two-dimensional extended Hubbard model in the presence of long-range Coulomb interaction across the metal-insulator transition point. To take into account strong correlations we start from…

Strongly Correlated Electrons · Physics 2014-12-24 E. G. C. P. van Loon , H. Hafermann , A. I. Lichtenstein , A. N. Rubtsov , M. I. Katsnelson

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 compute the renormalization group flow of the long-ranged electron-electron interaction at the Gross-Neveu quantum critical point between the semimetal and the excitonic insulator in graphene, perturbatively in the small parameter…

Strongly Correlated Electrons · Physics 2011-06-27 Vladimir Juricic , Igor F. Herbut , Gordon W. Semenoff

The stability of ferromagnetism at the surface at finite temperatures is investigated within the strongly correlated Hubbard model on a semi-infinite lattice. Due to the reduced surface coordination number the effective Coulomb correlation…

Strongly Correlated Electrons · Physics 2009-10-31 T. Herrmann , W. Nolting

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

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

We analyze the competing effects of moderate to strong Coulomb electron-electron interactions and weak quenched disorder in graphene. Using a one-loop renormalization group calculation controlled within the large-N approximation, we…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Igor L. Aleiner

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

The strong-coupling perturbation theory (SCPT) for correlated electron systems is extended to the case of full Coulomb interaction. The Coulomb mechanism of the orbital polarization is discussed and attention is paid to the importance of…

Strongly Correlated Electrons · Physics 2007-05-23 I. Sandalov , U. Lundin , O. Eriksson

It has been proposed that interactions lead to ferromagnetism on a zigzag edge of a graphene sheet. While not yet directly studied experimentally, dramatically improving techniques for making and studying clean zigzag edges may soon make…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Zheng Shi , Ian Affleck

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

We develop a two stage renormalization group which connects the continuum Hamiltonian for twisted bilayer graphene at length scales shorter than the moire superlattice period to the Hamiltonian for the active narrow bands only which is…

Strongly Correlated Electrons · Physics 2020-12-21 Oskar Vafek , Jian Kang

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 paper we consider two different geometry of quasi one-dimensional semiconductors and calculate their exchange-correlation induced bandgap renormalization (BGR) as a function of the electron-hole plasma density and quantum wire…

Strongly Correlated Electrons · Physics 2009-11-11 Kourosh Nozari , Mahyar Madadi

This is an analysis of the itinerant model for antiferromagnetism, in which is included both on-site and inter-site electron correlations. We also consider the band degeneration, which brings into the Hamiltonian the on-site exchange…

Strongly Correlated Electrons · Physics 2016-08-16 G. Górski , J. Mizia , K. Kucab

The electronic structure of Nickel dichalcogenides, NiS$_2$ and NiSe$_2$, in monolayer form, is studied employing first-principles methods. We assess the importance of band ordering, covalency and Coulomb interactions in the ground state of…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Sergio Bravo , P. A. Orellana , L. Rosales

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

The occurrence of superconducting and insulating phases is well-established in twisted graphene bilayers, and they have also been reported in other arrangements of graphene layers. We investigate three such arrangements: untwisted AB…

Strongly Correlated Electrons · Physics 2021-08-11 Pierre A. Pantaleon , Tommaso Cea , Rory Brown , Niels R. Walet , Francisco Guinea