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Dirac electrons in clean graphene can mediate the interactions between two localized magnetic moments. The functional form of the RKKY interaction in pristine graphene is specified by two main features: (i) an atomic scale oscillatory part…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Alireza Habibi , S. A. Jafari

We propose a new semiclassical approach based on the dynamical mean field theory to treat the interactions of electrons with local lattice fluctuations. In this approach the classical (static) phonon modes are treated exactly whereas the…

Strongly Correlated Electrons · Physics 2009-11-07 S. Blawid , A. Deppeler , A. J. Millis

We employ large-scale quantum Monte Carlo simulations to study the magnetic ordering transition among dilute magnetic moments randomly localized on the graphene honeycomb lattice, induced by long-ranged RKKY interactions at low charge…

Strongly Correlated Electrons · Physics 2010-10-25 Thomas Fabritius , Nicolas Laflorencie , Stefan Wessel

Magnetism typically arises from the effect of exchange interactions on highly localized fermionic wave functions in f- and d-atomic orbitals. In rhombohedral multilayer graphene (RMG), in contrast, magnetism-manifesting as spontaneous…

Low-energy electronic behavior in graphite crystals is highly dependent on the relative stacking arrangement of the constituent layers. Topologically non-trivial electronic states can arise due to interrupted rhombohedral (ABC) stacking,…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Luke Soneji , Simon Crampin , Marcin Mucha-Kruczynski

We address the nature and possible observable consequences of singular one-electron states that appear when strong defects are introduced in the metallic family of graphene, namely, metallic carbon nanotubes and nanotori. In its simplest…

Mesoscale and Nanoscale Physics · Physics 2014-06-04 H. Santos , David Soriano , J. J. Palacios

We study the scattering of graphene quasiparticles by topological defects, represented by holes, pentagons and heptagons. For the case of holes, we obtain the phase shift and found that at low concentration they appear to be irrelevant for…

Strongly Correlated Electrons · Physics 2010-12-17 Jakson M. Fonseca , Winder A. Moura-Melo , Afranio R. Pereira

It is demonstrated that itinerant-localized transition of heavy electrons occurs inside the magnetically ordered phase of the Kondo-Heisenberg lattice. The phase diagram and electronic structure are derived by means of the continuous-time…

Strongly Correlated Electrons · Physics 2013-07-12 Shintaro Hoshino , Yoshio Kuramoto

We study in this paper the effect of weak, short-ranged interaction on disordered metals. Through analysing the interaction matrix elements between different eigenstates of the non-interacting and corresponding Hartree-Fock single-particle…

Disordered Systems and Neural Networks · Physics 2024-07-30 Yat Fan Lau , Tai Kai Ng

We present a study of different models of local disorder in graphene. Our focus is on the main effects that vacancies -- random, compensated and uncompensated --, local impurities and substitutional impurities bring into the electronic…

Disordered Systems and Neural Networks · Physics 2008-03-25 Vitor M. Pereira , J. M. B. Lopes dos Santos , A. H. Castro Neto

Functionalizing graphene was recently shown to have a dramatic effect on the electronic properties of this material. Here we investigate spatial ordering of adatoms driven by the RKKY-type interactions. In the ordered state, which arises…

Mesoscale and Nanoscale Physics · Physics 2010-08-30 D. A. Abanin , A. V. Shytov , L. S. Levitov

The electron-electron interactions affect the low-energy excitations of an electronic system and induce deformations of the Fermi surface. These effects are especially important in anisotropic materials with strong correlations, such as…

Strongly Correlated Electrons · Physics 2007-10-30 R. Roldan , M. P. Lopez-Sancho , F. Guinea , S. -W. Tsai

Graphene is a model system for the study of electrons confined to a strictly two-dimensional layer1 and a large number of electronic phenomena have been demonstrated in graphene, from the fractional2, 3 quantum Hall effect to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jian-Hao Chen , W. G. Cullen , E. D. Williams , M. S. Fuhrer

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier

We have carried out ab initio electronic structure calculations on graphane (hydrogenated graphene) with single and double vacancy defects. Our analysis of the density of states reveal that such vacancies induce the mid gap states and…

Materials Science · Physics 2010-02-11 Bhalchandra S. Pujari , D. G. Kanhere

Perturbative scaling is applied to the Anderson model for a localized level coupled to a Fermi system in which the density of states varies like $|E|^r$ near the Fermi energy ($E=0$). This model with $r=1$ or $2$ may describe magnetic…

Condensed Matter · Physics 2009-09-25 Carlos Gonzalez-Buxton , Kevin Ingersent

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

The issue of whether local magnetic moments can be formed by introducing adatoms into graphene is of intense research interest because it opens the window to fundamental studies of magnetism in graphene, as well as of its potential…

Mesoscale and Nanoscale Physics · Physics 2012-06-12 X. Hong , K. Zou , B. Wang , S. -H. Cheng , J. Zhu

At and near charge neutrality, monolayer graphene in a perpendicular magnetic field is a quantum Hall ferromagnet. In addition to the highly symmetric Coulomb interaction, residual lattice-scale interactions, Zeeman, and sublattice…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 Jincheng An , Ajit C. Balram , Ganpathy Murthy

We study the impact of electron-phonon interactions on the many-body instabilities of electrons on the honeycomb lattice and their interplay with repulsive local and non-local Coulomb interactions at charge neutrality. To that end, we…

Strongly Correlated Electrons · Physics 2014-07-23 Laura Classen , Michael M. Scherer , Carsten Honerkamp
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